Relevant bibliographies by topics / Upper and lower solution

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Upper and lower solution'

Author: Grafiati
Published: 4 June 2021
Last updated: 5 February 2022

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Journal articles on the topic "Upper and lower solution"

1

Ejraei, Ayoub, Samira Shirvani, Mohammad Ali Aroon, Milad Asgarpour Khansary, and Sepideh Khalaj. "Lower and upper critical solution temperatures of binary polymeric solutions." Fluid Phase Equilibria 425 (October 2016): 465–84. http://dx.doi.org/10.1016/j.fluid.2016.06.036.

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O'Regan, Donal, and Ravi P. Agarwal. "Singular Problems: An Upper and Lower Solution Approach." Journal of Mathematical Analysis and Applications 251, no. 1 (2000): 230–50. http://dx.doi.org/10.1006/jmaa.2000.7043.

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Liolios, A. A. "Upper and lower solution estimates in unilateral viscoelastodynamics." Acta Mechanica 66, no. 1-4 (1987): 275–78. http://dx.doi.org/10.1007/bf01184300.

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Zhang, Li, Xiankai Huang, and Weigao Ge. "Positive Solutions of Sturm-Liouville Boundary Value Problems in Presence of Upper and Lower Solutions." International Journal of Differential Equations 2011 (2011): 1–11. http://dx.doi.org/10.1155/2011/383294.

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We consider a kind of Sturm-Liouville boundary value problems. Using variational techniques combined with the methods of upper-lower solutions, the existence of at least one positive solution is established. Moreover, the upper solution and the lower solution are presented.
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Vrábeľ, Róbert. "Upper and lower solutions for singularly perturbed semilinear Neumann's problem." Mathematica Bohemica 122, no. 2 (1997): 175–80. http://dx.doi.org/10.21136/mb.1997.125912.

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Cabada, Alberto, and Lucía López-Somoza. "Lower and Upper Solutions for Even Order Boundary Value Problems." Mathematics 7, no. 10 (2019): 878. http://dx.doi.org/10.3390/math7100878.

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In this paper, we prove the existence of solutions of nonlinear boundary value problems of arbitrary even order using the lower and upper solutions method. In particular, we point out the fact that the existence of a pair of lower and upper solutions of a considered problem could imply the existence of solution of another one with different boundary conditions. We consider Neumann, Dirichlet, mixed and periodic boundary conditions.
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Blodgett, Robert J. "Upper and Lower Bounds for a Serial Dilution Test." Journal of AOAC INTERNATIONAL 88, no. 4 (2005): 1227–30. http://dx.doi.org/10.1093/jaoac/88.4.1227.

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Abstract A Poisson-binomial model estimates the concentration of a target microbe from a serial dilution test. The maximum likelihood procedure gives an equation whose solution equals the estimate of the concentration. This paper gives bounds for the solution to this equation that require only minimal calculations.
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Grasso, F., and M. Marini. "Lower upper implicit total variation diminishing solution of viscoushypersonic flows." AIAA Journal 30, no. 9 (1992): 2184–85. http://dx.doi.org/10.2514/3.11202.

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Moelbert, Susanne, and Paolo De Los Rios. "Hydrophobic Interaction Model for Upper and Lower Critical Solution Temperatures." Macromolecules 36, no. 15 (2003): 5845–53. http://dx.doi.org/10.1021/ma025890c.

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Kim, Chul, S. Y. Jung, and J. C. Choi. "A lower upper-bound solution for shear spinning of cones." International Journal of Mechanical Sciences 45, no. 11 (2003): 1893–911. http://dx.doi.org/10.1016/j.ijmecsci.2003.11.002.

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Dissertations / Theses on the topic "Upper and lower solution"

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Bauwe, Anne, and Wilfried Grecksch. "A parabolic stochastic differential inclusion." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501221.

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Stochastic differential inclusions can be considered as a generalisation of stochastic differential equations. In particular a multivalued mapping describes the set of equations, in which a solution has to be found. This paper presents an existence result for a special parabolic stochastic inclusion. The proof is based on the method of upper and lower solutions. In the deterministic case this method was effectively introduced by S. Carl.
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Wu, Fang. "NABLA Fractional Calculus and Its Application in Analyzing Tumor Growth of Cancer." TopSCHOLAR®, 2012. http://digitalcommons.wku.edu/theses/1217.

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This thesis consists of six chapters. In the first chapter, we review some basic definitions and concepts of fractional calculus. Then we introduce fractional difference equations involving the Riemann-Liouville operator of real number order between zero and one. In the second chapter, we apply the Brouwer fixed point and Contraction Mapping Theorems to prove that there exists a solution for up to the first order nabla fractional difference equation with an initial condition. In chapter three, we define a lower and an upper solution for up to the first order nabla fractional difference equatio
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Sousa, Robert de. "Sistemas de equações diferenciais não lineares de ordem superior em domínios limitados ou não limitados." Doctoral thesis, Universidade de Évora, 2019. http://hdl.handle.net/10174/25396.

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The Boundary value problems on bounded or unbounded intervals, involving two or more coupled systems of the nonlinear differen- tial equations with full nonlinearities are scarce and have gap in literature. The present work modestly try to fill this gap. The systems covered in the work are essentially of the second- order (except for the first chapter of the first part) with boundary constraints either in bounded or unbounded intervals presented in several forms and conditions (three points, mixed, with functional dependence, homoclinic and heteroclinic). The existence, and in some cases, the
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Carrasco, Hugo Alexandre Sacristão. "Higher order boundary value problems on unbounded intervals." Doctoral thesis, Universidade de Évora, 2017. http://hdl.handle.net/10174/21093.

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The relative scarcity of results that guarantee the existence of solutions for BVP on unbounded domains, contrasts with the high applicability on real problems of differential equations defined on the half-line or on the whole real line. It is this gap the main reason that led to this work. The differential equations studied vary from second order to higher orders and they can be discontinuous on time. Different types of boundary conditions will be discussed herein, for example, Sturm- Liouville, homoclinic, Lidstone and functional conditions. The non-compactness of the time interval and the p
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Roberts, Nicola Jane. "The upper and lower airway in COPD." Thesis, Queen Mary, University of London, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.407146.

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Smith, Graeme Stewart Baird Preskill John P. "Upper and lower bounds on quantum codes /." Diss., Pasadena, Calif. : Caltech, 2006. http://resolver.caltech.edu/CaltechETD:etd-05222006-153339.

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Forbes, Michael Andrew. "Tensor rank : some lower and upper bounds." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/66029.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2011.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 59-61).<br>The results of Strassen [25] and Raz [19] show that good enough tensor rank lower bounds have implications for algebraic circuit/formula lower bounds. We explore tensor rank lower and upper bounds, focusing on explicit tensors. For odd d, we construct field-independent explicit 0/1 tensors T : [n]d --> F with rank at least 2n td/ 2j + n - [theta](d Ig n). This improves the lower-order ter
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Yuen, Henry Ph D. Massachusetts Institute of Technology. "Quantum randomness expansion : upper and lower bounds." Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/84856.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2013.<br>Title as it appears in Degrees awarded booklet, September 2013: Upper and lower bounds for quantum randomness expansion. Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 62-64).<br>A recent sequence of works, initially motivated by the study of the nonlocal properties of entanglement, demonstrate that a source of information-theoretically certified randomness can be constructed based only on two simple assumptions: the prior existence of a shor
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Nogueira, Ariadne. "Integrais concentradas na fronteira e aplicações para problemas elípticos semilineares." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-06122017-104037/.

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Neste trabalho estudamos propriedades de integrais concentradas, ou seja, integrais cujo integrando atua apenas em uma vizinhança do domínio em questão. Tais termos são utilizados para conhecer o comportamento do integrando em regiões cuja medida de Lebesgue se aproxima de zero quando um parâmetro tende a zero. Ilustraremos estes resultados abstratos através de duas aplicações, ambas em domínios Lipschitz de R2, onde adicionamos um termo de concentração em problemas semilineares elípticos: domínio com fronteira oscilante que tende a um domínio limite fixo; e domínio do tipo fino com fronteira
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Kaur, Subhpreet. "Additive manufacturing of upper and lower prosthetic limbs." Thesis, California State University, Long Beach, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10038435.

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<p>Touch 3D Bionics is a start-up prostheses company that will use additive manufacturing methods to produce prosthetic limbs. The company will provide patients with affordable, sustainable, customized, and durable 3D printed robotic prosthetics. Additive manufacturing usage can offer several benefits, such as personalized and modified medical devices and products, lower cost, improved throughput, and improved teamwork. </p><p> Furthermore, there are, approximately, 2 million amputees living in the United States. Therefore, the target market of the company will be state-approved hospitals al
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Books on the topic "Upper and lower solution"

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Coster, Colette De. Two-point boundary value problems: Lower and upper solutions. Elsevier, 2006.

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Patrick, Habets, ed. Two-point boundary value problems: Lower and upper solutions. Elsevier, 2006.

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Coster, Colette De. Two-point boundary value problems: Lower and upper solutions. Elsevier, 2006.

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Aye, Mansur. The trip to upper & lower Sind. International Cultlure Promotors [sic], 1986.

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Benson, Michael, Klaus Parsch, Malcolm Macnicol, and John Fixsen, eds. Children’s Upper and Lower Limb Fractures. Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-555-2.

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Iyer, K. Mohan, ed. Orthopedics of the Upper and Lower Limb. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4447-2.

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Iyer, K. Mohan, and Wasim S. Khan, eds. Orthopedics of the Upper and Lower Limb. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43286-7.

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Benson, Michael, Klaus Parsch, Malcolm Macnicol, and John Fixsen, eds. Children's Upper and Lower Limb Orthopaedic Disorders. Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-561-3.

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Talagrand, Michel. Upper and Lower Bounds for Stochastic Processes. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54075-2.

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Hambrook, Pamela J. Upper and Lower Nicola cemeteries: Nicola Valley, BC. The Society, 2000.

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Book chapters on the topic "Upper and lower solution"

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Wohlfarth, Ch. "Lower Critical (LCST) and Upper Critical (UCST) Solution Temperatures." In Polymer Solutions. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-88057-8_609.

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Wu, Jianhong. "Invariance, Comparison, and Upper and Lower Solutions." In Theory and Applications of Partial Functional Differential Equations. Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4612-4050-1_9.

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Akin-Bohner, Elvan, Ferhan Merdivenci Atici, and Billûr Kaymakçalan. "Lower and Upper Solutions of Boundary Value Problems." In Advances in Dynamic Equations on Time Scales. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-0-8176-8230-9_6.

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Figueroa Sestelo, Rubén, Rodrigo López Pouso, and Jorge Rodríguez López. "Second Order Problems and Lower and Upper Solutions." In Degree Theory for Discontinuous Operators. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-81604-9_5.

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Perrelli, Michele, Gianluca Gatti, Maurizio Iocco, and Guido Danieli. "Upper and Lower Limbs Rehabilitation: DARTAGNAN, An Alternative Solution to Exoskeletal Robots." In ROMANSY 22 – Robot Design, Dynamics and Control. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-78963-7_50.

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Liolios, A. A. "Upper and Lower Solution Bounds in Unilateral Contact Elastostatics under Second-Order Geometric Effects." In Contact Mechanics. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-1983-6_6.

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Hou, Chuan xia, and Yong Li. "Upper and Lower Solutions of Boundary Value Problems for Impulsive Fractional Differential." In Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-37502-6_7.

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De Coster, C., and P. Habets. "An Overview of the Method of Lower and Upper Solutions for ODEs." In Nonlinear Analysis and its Applications to Differential Equations. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0191-5_1.

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Cabada, Alberto, Eduardo Liz, and Rodrigo L. Pouso. "On the Method of Upper and Lower Solutions for First Order BVPs." In Nonlinear Analysis and its Applications to Differential Equations. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0191-5_12.

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Rodríguez-López, Rosana. "Existence Results for Fuzzy Differential Equations via Truncation Operators Between an Upper and a Lower Solution and Fixed Point Results." In Differential and Difference Equations with Applications. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-75647-9_31.

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Conference papers on the topic "Upper and lower solution"

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Mawhin, Jean, Rafael Ortega, and Aureliano M. Robles-Pérez. "A maximum principle for bounded solutions of the telegraph equation and the upper and lower solution method." In Proceedings of the ICM 2002 Satellite Conference on Nonlinear Functional Analysis. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704283_0018.

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Panpan, Li, Chen Changhai, Yin Changchuan, Wu Huarui, and Ma Yan. "A solution to the upper and lower bound of outage probability in ad hoc networks." In Multimedia Technology (IC-BNMT). IEEE, 2009. http://dx.doi.org/10.1109/icbnmt.2009.5347790.

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Krabbenhoft, K. "Upper and Lower Bounds on Numerical Solutions to Biot Consolidation." In Sixth Biot Conference on Poromechanics. American Society of Civil Engineers, 2017. http://dx.doi.org/10.1061/9780784480779.031.

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Chen, Haofeng. "Lower and Upper Bound Shakedown Analysis of Structures With Temperature-Dependent Yield Stress." In ASME 2009 Pressure Vessels and Piping Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/pvp2009-77194.

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Based upon the kinematic theorem of Koiter, the Linear Matching Method (LMM) procedure has been proved to produce very accurate upper bound shakedown limits. This paper presents a recently developed LMM lower bound procedure for shakedown analysis of structures with temperature-dependent yield stress, which is implemented into ABAQUS using the same procedure as for upper bounds. According to the Melan’s theorem, a direct algorithm has been carried out to determine the lower bound of shakedown limit using the best residual stress field calculated during the LMM upper bound procedure with displa
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Yagola, Anatoly G., and Yury M. Korolev. "Error Estimations in Linear Inverse Problems With a Priori Information." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47799.

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We consider an inverse problem for an operator equation Az = u. The exact operator A and the exact right-hand side u are unknown. Only their upper and lower estimations are available. We provide techniques of calculating upper and lower estimations for the exact solution belonging to a compact set in this case, as well as a posteriori error estimations. We obtain approximate solutions with an optimal a posteriori error estimate. We also make use of a priori information about the exact solution, e.g. its monotonicity and convexity. The developed software package was applied to solving practical
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Jappy, Alan, Donald Mackenzie, and Haofeng Chen. "A Fully Implicit, Lower Bound, Multi-Axial Solution Strategy for Direct Ratchet Boundary Evaluation: Theoretical Development." In ASME 2012 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/pvp2012-78314.

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Ensuring sufficient safety against ratchet is a fundamental requirement of pressure vessel design. Determining the ratchet boundary can however prove difficult when using a full elastic plastic finite element analysis and a number of direct methods have been proposed that overcome the difficulties associated with ratchet boundary evaluation. Here, a new approach based on fully implicit methods, similar to conventional elastic-plastic methods, is presented. The method utilizes a two-stage procedure. The first stage determines the cyclic stress state, which can include a varying residual stress
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Mombourquette, Cole, Dave Erickson, Tim Geldreich, Mark Ross, Eric Hudson, and Dan Cammaert. "Breaking Through the Boundary: Are HVFR and Landing Target The Solution? A Charlie Lake Exploitation Strategy." In SPE Annual Technical Conference and Exhibition. SPE, 2021. http://dx.doi.org/10.2118/206094-ms.

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Abstract The objective of this exploitation strategy was to evaluate fracture-driven interactions (FDI) between intervals within the Braeburn members of the Lower Charlie Lake formation. With the primary goal to determine if a single well can be drilled in the Middle Braeburn and effectively drain reserves from two previously distinct producing intervals. The target intervals in this study were separated by a boundary layer composed of interbedded anhydrite, siltstone, and dolomite layers. Wells were completed in sequence using cemented ball-drop fracturing, and high-viscosity friction reducer
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Bereanu, Cristian. "Upper and lower solutions for periodic problems: first order difference vs first order differential equations." In MATHEMATICAL ANALYSIS AND APPLICATIONS: International Conference on Mathematical Analysis and Applications. AIP, 2006. http://dx.doi.org/10.1063/1.2205034.

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Cao, Lile, Ryo Ito, Tomohiro Degawa, Yu Matsuda, Kotaro Takamure, and Tomomi Uchiyama. "Experimental Study of Mixing of Two-Layer Density-Stratified Fluid by a Vortex Ring." In ASME-JSME-KSME 2019 8th Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/ajkfluids2019-4972.

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Abstract This study experimentally investigates the mixing of a two-layer density-stratified fluid of water (upper layer) and aqueous sodium chloride (NaCl) solution (lower layer) induced by the interaction between a vortex ring and the density interface. The vortex ring, which consists of water, is launched from an orifice in the upper layer toward the density interface, after which its motion, along with the behavior of the lower fluid, is visualized through a planar laser-induced fluorescence method. The Atwood number that expresses the nondimensional density jump across the density interfa
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Romero, David A., Cristina H. Amon, and Susan Finger. "Improving Multi-Response Metamodels With Upper/Lower Bound Information Using Multi-Stage, Non-Stationary Covariance Functions." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-29030.

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Metamodels have been proposed in the literature to reduce the time and resources devoted to design space exploration, to learn about design trade-offs, and to find the best solution to the design problem in the context of simulation-based design and optimization. In previous work in engineering design based on multiple performance criteria, we have proposed the use of Multi-response Bayesian Surrogate Models (MR-BSM) to model several response variables simultaneously, instead of modeling them independently. By doing so, it is expected that the correlation among the response variables can be us
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Reports on the topic "Upper and lower solution"

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Riestenberg, David, and Kimberly Gray. Final Report on Lower & Upper Cretaceous Characterization. Office of Scientific and Technical Information (OSTI), 2011. http://dx.doi.org/10.2172/1814003.

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Mesina, George L. Border-Profile Lower-Upper (BPLU) Solver Zero Bandwidth Project. Office of Scientific and Technical Information (OSTI), 2003. http://dx.doi.org/10.2172/1170295.

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Dewing, K., U. Mayr, J. C. Harrison, and T. de Freitas. Upper Neoproterozoic to Lower Devonian stratigraphy of northeast Ellesmere Island. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 2008. http://dx.doi.org/10.4095/226140.

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Dewing, K., U. Mayr, J. C. Harrison, and T. de Freitas. Upper Neoproterozoic to Lower Devonian stratigraphy of northeast Ellesmere Island. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 2009. http://dx.doi.org/10.4095/289642.

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Racheboeuf, P. R. Upper lower and lower middle Devonian Chonetacean brachiopods from Bathurst, Devon and Ellesmere islands, Canadian Arctic Archipelago. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 1987. http://dx.doi.org/10.4095/122459.

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Myers, M. D. Petrography of Upper Cretaceous and lower Tertiary sandstones: Beaufort-MacKenzie Basin. Alaska Division of Geological & Geophysical Surveys, 1989. http://dx.doi.org/10.14509/1432.

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Lucas, Jacqueline, Eric Connor, and Jonaki Bose. Back, Lower Limb, and Upper Limb Pain Among U.S. Adults, 2019. National Center for Health Statistics (U.S.), 2021. http://dx.doi.org/10.15620/cdc:107894.

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This report provides national estimates of any pain regardless of body region as well as estimates of back, upper limb (hips, knees, or feet) pain in the past 3 months among U.S. adults aged 18 and over by selected sociodemographic characteristics.
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Bolton, T. E. Sphenothallus angustifolius Hall, 1847 from the lower upper ordovician of Ontario and Quebec. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 1994. http://dx.doi.org/10.4095/194750.

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Steele-petrovich, H. M. Lithostratigraphy of Upper Middle Ordovician Sedimentary Rocks, Lower Ottawa Valley, Ontario and Quebec. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 1990. http://dx.doi.org/10.4095/129058.

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Kitagawa, Toru. Inference and decision for set identified parameters using posterior lower and upper probabilities. Institute for Fiscal Studies, 2011. http://dx.doi.org/10.1920/wp.cem.2011.1611.

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