Relevant bibliographies by topics / Sturm comparison theorem

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Sturm comparison theorem'

Author: Grafiati
Published: 4 June 2021
Last updated: 3 February 2022

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Journal articles on the topic "Sturm comparison theorem"

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Zhang, B. G. "Sturm comparison theorem of difference equations." Applied Mathematics and Computation 72, no. 2-3 (1995): 277–84. http://dx.doi.org/10.1016/0096-3003(94)00201-e.

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Homa, Monika, and Rostyslav Hryniv. "Oscillation Properties of Singular Quantum Trees." Symmetry 12, no. 8 (2020): 1266. http://dx.doi.org/10.3390/sym12081266.

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We discuss the possibility of generalizing the Sturm comparison and oscillation theorems to the case of singular quantum trees, that is, to Sturm-Liouville differential expressions with singular coefficients acting on metric trees and subject to some boundary and interface conditions. As there may exist non-trivial solutions of differential equations on metric trees that vanish identically on some edges, the classical Sturm theory cannot hold globally for quantum trees. However, we show that the comparison theorem holds under minimal assumptions and that the oscillation theorem holds generical
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Laforgia, Andrea, and Martin E. Muldoon. "Some Consequences of the Sturm Comparison Theorem." American Mathematical Monthly 93, no. 2 (1986): 89. http://dx.doi.org/10.2307/2322698.

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Laforgia, Andrea, and Martin E. Muldoon. "Some Consequences of the Sturm Comparison Theorem." American Mathematical Monthly 93, no. 2 (1986): 89–94. http://dx.doi.org/10.1080/00029890.1986.11971757.

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Zhu, Xiaodong. "A Sturm Type Comparison Theorem for Nonlinear Problems." Journal of Differential Equations 129, no. 1 (1996): 166–92. http://dx.doi.org/10.1006/jdeq.1996.0115.

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Kayar, Zeynep, and Sarbast Kamal Rasheed Masiha. "Sturm-Picone comparison theorems for nonlinear impulsive differential equations." Mathematica Slovaca 68, no. 6 (2018): 1373–84. http://dx.doi.org/10.1515/ms-2017-0188.

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Abstract The celebrated Sturm-Picone comparison theorem as well as the well known Leighton’s variational lemma and Leighton’s theorem, all of which are the fundamental tools of comparison and so, oscillation theory, are obtained for regular and singular nonlinear impulsive differential equations and related previous results in the literature are generalized to such equations.
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Barutello, Vivina L., Daniel Offin, Alessandro Portaluri, and Li Wu. "Sturm theory with applications in geometry and classical mechanics." Mathematische Zeitschrift 299, no. 1-2 (2021): 257–97. http://dx.doi.org/10.1007/s00209-020-02686-3.

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AbstractClassical Sturm non-oscillation and comparison theorems as well as the Sturm theorem on zeros for solutions of second order differential equations have a natural symplectic version, since they describe the rotation of a line in the phase plane of the equation. In the higher dimensional symplectic version of these theorems, lines are replaced by Lagrangian subspaces and intersections with a given line are replaced by non-transversality instants with a distinguished Lagrangian subspace. Thus the symplectic Sturm theorems describe some properties of the Maslov index. Starting from the cel
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Yu, Y. H. "Leighton Type Oscillation Criterion and Sturm Type Comparison Theorem." Mathematische Nachrichten 153, no. 1 (1991): 137–43. http://dx.doi.org/10.1002/mana.19911530114.

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Anderson, Douglas, and John Graef. "Sturm-Picone comparison theorem for matrix systems on time scales." Applicable Analysis and Discrete Mathematics 4, no. 2 (2010): 338–46. http://dx.doi.org/10.2298/aadm100514024a.

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A well-known Picone identity is extended and generalized to second-order dynamic matrix equations on arbitrary time scales. A comparison theorem is obtained in the spirit of the classical Sturm-Picone comparison theorem that extends known scalar results to matrix equations that include the linear homogeneous and inhomogeneous cases, and nonlinear unperturbed and perturbed cases.
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Müller-Pfeiffer, E. "Sturmian theory for nonself-adjoint differential equations of second order." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 105, no. 1 (1987): 337–43. http://dx.doi.org/10.1017/s0308210500022149.

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Dissertations / Theses on the topic "Sturm comparison theorem"

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Ali, Ismail 1961. "Uniqueness of Positive Solutions for Elliptic Dirichlet Problems." Thesis, University of North Texas, 1990. https://digital.library.unt.edu/ark:/67531/metadc330654/.

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In this paper we consider the question of uniqueness of positive solutions for Dirichlet problems of the form - Δ u(x)= g(λ,u(x)) in B, u(x) = 0 on ϑB, where A is the Laplace operator, B is the unit ball in RˆN, and A>0. We show that if g(λ,u)=uˆ(N+2)/(N-2) + λ, that is g has "critical growth", then large positive solutions are unique. We also prove uniqueness of large solutions when g(λ,u)=A f(u) with f(0) < 0, f "superlinear" and monotone. We use a number of methods from nonlinear functional analysis such as variational identities, Sturm comparison theorems and methods of order. We also p
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Ozbekler, Abdullah. "Sturm Comparison Theory For Impulsive Differential Equations." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/3/12606894/index.pdf.

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In this thesis, we investigate Sturmian comparison theory and oscillation for second order impulsive differential equations with fixed moments of impulse actions. It is shown that impulse actions may greatly alter the oscillation behavior of solutions. In chapter two, besides Sturmian type comparison results, we give Leightonian type comparison theorems and obtain Wirtinger type inequalities for linear, half-linear and non-selfadjoint equations. We present analogous results for forced super linear and super half-linear equations with damping. In chapter three, we derive suf
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Book chapters on the topic "Sturm comparison theorem"

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"Sturm Theorems for Linear Parabolic Equations and Intersection Comparison.-equations." In Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications. Chapman and Hall/CRC, 2004. http://dx.doi.org/10.1201/9780203998069-8.

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"Sturm Theorems for Linear Parabolic Equations and Intersection Comparison. B-equations." In Chapman & Hall/CRC Applied Mathematics & Nonlinear Science. Chapman and Hall/CRC, 2004. http://dx.doi.org/10.1201/9780203998069.ch1.

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Conference papers on the topic "Sturm comparison theorem"

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Tiryaki, Aydin, Sinem Şahiner, and Emine Misirli. "Sturm comparison theorems for some elliptic type equations via Picone-tpye inequalities." In The 10'th Colloquium on the Qualitative Theory of Differential Equations. Bolyai Institute, SZTE, 2016. http://dx.doi.org/10.14232/ejqtde.2016.8.23.

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O’Neill, Lee A., Emmanuel Fakas, and Mark Cassidy. "A Novel Application of Constrained NewWave Theory for Floatover Deck Installations." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51099.

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Numerical techniques are extensively used to predict vessel motions and associated contact forces for offshore operations such as lift and floatover deck installations. The accuracy of such predictions however is highly dependent on the comprehensive modelling of seastate conditions, which is often limited by computational power and time constraints. A time-efficient methodology, suitable for modelling large numbers of installation seastates, is developed to alleviate this problem. The methodology is based on the Constrained NewWave model which has been previously used to overcome similar prob
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Toro, Gabriel R., C. Allin Cornell, Vincent J. Cardone, and David B. Driver. "Comparison of Historical and Deductive Methods for the Calculation of Low-Probability Seastates in the Gulf of Mexico." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51634.

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Historical methods are typically used to determine the 100-year seastates used in traditional design practice. In these methods, one fits a probability distribution to the historical record of Hs and wind speed. With the development of more rational design standards, interest has shifted to rare events-with annual exceedence probabilities of 10−4 or lower. If one uses historical methods to determine the seastates associated with these probabilities, one typically encounters high uncertainties as a result of limited sample size and modeling uncertainty associated with the choice of distribution
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Wei, Yuefeng, Zhiqiang Hu, Gang Chen, and Jianmin Yang. "Numerical and Model Test Investigation on the Motion Characteristic of FDPSO and the Sheltered Riser Vessel." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20542.

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FDPSO is a multifunction floating platform, capable of drilling, production, storage and offloading. Sheltered Riser Vessel (SRV) serves as an independent buoyant hull to provide riser tensions, which is situated in the moon pool of FDPSO. Due to the shielding effect of moon pool, the motion of SRV is very small, so as to meet the requirement of drilling. In order to validate the basic FDPSO and SRV concepts, a model test was conducted in the basin of Ocean Engineering in the State Key Lab of Ocean Engineering in Shanghai Jiao Tong University. The storm tests were carried out in wave extremes
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Tahar, Arcandra, Djoni Sidarta, and Alex Ran. "Dual Stiffness Approach for Polyester Mooring Line Analysis in Time Domain." In ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/omae2012-83662.

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Polyester mooring lines have been used in the offshore industry since the late ’90s. With increasing oil exploration and production in deeper waters, using polyester lines provides greater benefit than using traditional steel wires and chains. Some advantages of using polyester include a reduction of mooring line weight, a reduction in vessel offset and a reduction in the dynamics of the line tensions. However, unlike steel, polyester lines exhibit axial stiffness characteristics that are nonlinear and vary with time and loading history. Tahar (2001) developed a comprehensive theory and numeri
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Li, Linbin, Ping Li, and Yuan Liu. "How We Determine the Design Environmental Conditions and How They Impact the Structural Reliabilities?" In ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/omae2014-23198.

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This paper is based on the JIP study for the oceanographic hindcast and environmental load statistics of fixed steel structures at South China Sea under tropical cyclone conditions. It focuses on the sensitivity and comparison studies by exploring the degrees and reasons of variability that may occur in determination of design environmental conditions resulting from the selection of the design standards and approaches. The bias and efficiency in extreme values prediction are examined with respect to modeling uncertainty and statistical uncertainty. The long term distributions of maximum wave h
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