Academic literature on the topic 'Conjugate boundary value problems'

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Journal articles on the topic "Conjugate boundary value problems"

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Agarwal, R. P., and D. O'Regan. "Discrete conjugate boundary value problems." Applied Mathematics Letters 13, no. 2 (2000): 97–104. http://dx.doi.org/10.1016/s0893-9659(99)00171-8.

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Li, Weifeng, and Jinyuan Du. "Linear conjugate boundary value problems." Wuhan University Journal of Natural Sciences 12, no. 6 (2007): 985–91. http://dx.doi.org/10.1007/s11859-007-0037-5.

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Chuan-Rong, Wang, and Yang Qiao-Lin. "Linear conjugate boundary value problems." Complex Variables, Theory and Application: An International Journal 31, no. 2 (1996): 105–19. http://dx.doi.org/10.1080/17476939608814952.

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Palamides, P. K. "Conjugate boundary value problems, via Sperner's lemma." Nonlinear Analysis: Theory, Methods & Applications 46, no. 2 (2001): 299–308. http://dx.doi.org/10.1016/s0362-546x(00)00124-3.

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Wong, P. J. Y. "Triple positive solutions of conjugate boundary value problems." Computers & Mathematics with Applications 36, no. 9 (1998): 19–35. http://dx.doi.org/10.1016/s0898-1221(98)00190-4.

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Agarwal, Ravi P., Martin Bohner, and Patricia J. Y. Wong. "Positive solutions and eigenvalues of conjugate boundary value problems." Proceedings of the Edinburgh Mathematical Society 42, no. 2 (1999): 349–74. http://dx.doi.org/10.1017/s0013091500020307.

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We consider the following boundary value problemwhere λ > 0 and 1 ≤ p ≤ n – 1 is fixed. The values of λ are characterized so that the boundary value problem has a positive solution. Further, for the case λ = 1 we offer criteria for the existence of two positive solutions of the boundary value problem. Upper and lower bounds for these positive solutions are also established for special cases. Several examples are included to dwell upon the importance of the results obtained.
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McLachlan, Robert I., and Christian Offen. "Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci." New Zealand Journal of Mathematics 48 (December 31, 2018): 83–99. http://dx.doi.org/10.53733/34.

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In this paper we continue our study of bifurcations of solutions of boundary-value problems for symplectic maps arising as Hamiltonian diffeomorphisms. These have been shown to be connected to catastrophe theory via generating functions and ordinary and reversal phase space symmetries have been considered. Here we present a convenient, coordinate free framework to analyse separated Lagrangian boundary value problems which include classical Dirichlet, Neumann and Robin boundary value problems. The framework is then used to prove the existence of obstructions arising from conformal symplectic sy
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Wong, Patricia J. Y., and Ravi P. Agarwal. "Multiple Solutions of Generalized Multipoint Conjugate Boundary Value Problems." gmj 6, no. 6 (1999): 567–90. http://dx.doi.org/10.1515/gmj.1999.567.

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Abstract We consider the boundary value problem 𝑦(𝑛) (𝑡) = 𝑃(𝑡, 𝑦), 𝑡 ∈ (0, 1) 𝑦(𝑗) (𝑡𝑖) = 0, 𝑗 = 0, . . . , 𝑛𝑖 – 1, 𝑖 = 1, . . . , 𝑟, where 𝑟 ≥ 2, 𝑛𝑖 ≥ 1 for 𝑖 = 1, . . . , 𝑟, and 0 = 𝑡1 < 𝑡2 < ⋯ < 𝑡𝑟 = 1. Criteria are offered for the existence of double and triple ‘positive’ (in some sense) solutions of the boundary value problem. Further investigation on the upper and lower bounds for the norms of these solutions is carried out for special cases. We also include several examples to illustrate the importance of the results obtained.
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Davis, John M., Paul W. Eloe, and Johnny Henderson. "Triple Positive Solutions for Multipoint Conjugate Boundary Value Problems." gmj 6, no. 5 (1999): 415–20. http://dx.doi.org/10.1515/gmj.1999.415.

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Abstract For the 𝑛th order nonlinear differential equation 𝑦(𝑛)(𝑡) = 𝑓(𝑦(𝑡)), 𝑡 ∈ [0, 1], satisfying the multipoint conjugate boundary conditions, 𝑦(𝑗)(𝑎𝑖) = 0, 1 ≤ 𝑖 ≤ 𝑘, 0 ≤ 𝑗 ≤ 𝑛𝑖 – 1, 0 = 𝑎1 < 𝑎2 < ⋯ < 𝑎𝑘 = 1, and , where 𝑓 : ℝ → [0, ∞) is continuous, growth condtions are imposed on 𝑓 which yield the existence of at least three solutions that belong to a cone.
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Kaufmann, Eric R., and Nickolai Kosmatov†. "Singular Conjugate Boundary Value Problems on a Time Scale." Journal of Difference Equations and Applications 10, no. 2 (2004): 119–27. http://dx.doi.org/10.1080/1023619031000114332.

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Dissertations / Theses on the topic "Conjugate boundary value problems"

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Degla, Guy Aymard. "A Maximum Principle for Conjugate BVPs." Doctoral thesis, SISSA, 2001. http://hdl.handle.net/20.500.11767/4320.

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Hopkins, Britney Henderson Johnny. "Multiplicity of positive solutions of even-order nonhomogeneous boundary value problems." Waco, Tex. : Baylor University, 2009. http://hdl.handle.net/2104/5323.

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Mohammed, Alip. "Boundary value problems of complex variables." [S.l. : s.n.], 2002. http://www.diss.fu-berlin.de/2003/23/index.html.

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Rabinovich, Vladimir, Bert-Wolfgang Schulze, and Nikolai Tarkhanov. "Boundary value problems in cuspidal wedges." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2536/.

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The paper is devoted to pseudodifferential boundary value problems in domains with cuspidal wedges. Concerning the geometry we even admit a more general behaviour, namely oscillating cuspidal wedges. We show a criterion for the Fredholm property of a boundary value problem and derive estimates of solutions close to edges.
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Xiaochun, Liu, and Bert-Wolfgang Schulze. "Boundary value problems in edge representation." Universität Potsdam, 2004. http://opus.kobv.de/ubp/volltexte/2008/2674/.

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Edge representations of operators on closed manifolds are known to induce large classes of operators that are elliptic on specific manifolds with edges, cf. [9]. We apply this idea to the case of boundary value problems. We establish a correspondence between standard ellipticity and ellipticity with respect to the principal symbolic hierarchy of the edge algebra of boundary value problems, where an embedded submanifold on the boundary plays the role of an edge. We first consider the case that the weight is equal to the smoothness and calculate the dimensions of kernels and cokernels of the ass
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Schulze, Bert-Wolfgang, and Nikolai Tarkhanov. "Boundary value problems with Toeplitz conditions." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2983/.

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We describe a new algebra of boundary value problems which contains Lopatinskii elliptic as well as Toeplitz type conditions. These latter are necessary, if an analogue of the Atiyah-Bott obstruction does not vanish. Every elliptic operator is proved to admit up to a stabilisation elliptic conditions of such a kind. Corresponding boundary value problems are then Fredholm in adequate scales of spaces. The crucial novelty consists of the new type of weighted Sobolev spaces which serve as domains of pseudodifferential operators and which fit well to the nature of operators.
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Ashton, Anthony Charles Lewis. "Nonlocal approaches to boundary value problems." Thesis, University of Cambridge, 2010. https://www.repository.cam.ac.uk/handle/1810/252204.

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Delecki, Zdzislaw Andrzej. "Boundary value problems in dielectric spectroscopy." Thesis, University of Ottawa (Canada), 1989. http://hdl.handle.net/10393/21430.

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Alsaedy, Ammar, and Nikolai Tarkhanov. "Normally solvable nonlinear boundary value problems." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6507/.

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We study a boundary value problem for an overdetermined elliptic system of nonlinear first order differential equations with linear boundary operators. Such a problem is solvable for a small set of data, and so we pass to its variational formulation which consists in minimising the discrepancy. The Euler-Lagrange equations for the variational problem are far-reaching analogues of the classical Laplace equation. Within the framework of Euler-Lagrange equations we specify an operator on the boundary whose zero set consists precisely of those boundary data for which the initial problem is solvabl
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Traytak, Sergey D. "Boundary-value problems for the diffusion equation in domains with disconnected boundary: Boundary-value problems for the diffusion equation in domainswith disconnected boundary." Diffusion fundamentals 2 (2005) 38, S. 1-2, 2005. https://ul.qucosa.de/id/qucosa%3A14368.

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Books on the topic "Conjugate boundary value problems"

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Mackie, A. G. Boundary value problems. Scottish Academic Press, 1989.

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Gakhov, F. D. Boundary value problems. Dover, 1990.

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Powers, David L. Boundary value problems. 3rd ed. Harcourt Brace Jovanovich, 1987.

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Georgiev, Svetlin. Boundary Value Problems. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-38200-0.

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Georgiev, Svetlin. Boundary Value Problems. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-38196-6.

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Eidelman, Samuil D., and Nicolae V. Zhitarashu. Parabolic Boundary Value Problems. Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-8767-0.

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Hoffmann, K. H., and J. Sprekels, eds. Free Boundary Value Problems. Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7301-7.

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Gazzola, Filippo, Hans-Christoph Grunau, and Guido Sweers. Polyharmonic Boundary Value Problems. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12245-3.

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V, Zhitarashu N., ed. Parabolic boundary value problems. Birkhäuser Verlag, 1998.

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Arnold, Kurt. Geodetic boundary value problems. Zentralinstituts für Physik der Erde, 1986.

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Book chapters on the topic "Conjugate boundary value problems"

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Agarwal, Ravi P., Donal O’Regan, and Patricia J. Y. Wong. "Conjugate Boundary Value Problems." In Positive Solutions of Differential, Difference and Integral Equations. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-015-9171-3_16.

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Agarwal, Ravi P., Donal O’Regan, and Patricia J. Y. Wong. "Discrete Conjugate Boundary Value Problems." In Positive Solutions of Differential, Difference and Integral Equations. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-015-9171-3_21.

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Litvinchuk, Georgii S. "Solvability theory of singular integral equations with a Carleman shift and complex conjugated boundary values in the degenerated and stable cases." In Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4363-9_5.

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Rajabov, Nusrat. "Linear Conjugate Boundary Value Problems for First Order Ordinary System of Linear Differential Equations with Singular or Super Singular Coefficients." In Proceedings of the Second ISAAC Congress. Springer US, 2000. http://dx.doi.org/10.1007/978-1-4613-0269-8_23.

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Kress, Rainer. "Boundary Value Problems." In Graduate Texts in Mathematics. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-0599-9_11.

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Struchtrup, Henning. "Boundary value problems." In Macroscopic Transport Equations for Rarefied Gas Flows. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/3-540-32386-4_12.

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Betounes, David. "Boundary Value Problems." In Partial Differential Equations for Computational Science. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-2198-2_7.

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Khoury, Richard, and Douglas Wilhelm Harder. "Boundary Value Problems." In Numerical Methods and Modelling for Engineering. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-21176-3_13.

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Ahmad, Shair, and Antonio Ambrosetti. "Boundary value problems." In UNITEXT. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16408-3_13.

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Soetaert, Karline, Jeff Cash, and Francesca Mazzia. "Boundary Value Problems." In Solving Differential Equations in R. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28070-2_10.

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Conference papers on the topic "Conjugate boundary value problems"

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Wang, Shuli, та Jianming Zhang. "Positive Solutions of 𝓂-point Conjugate Boundary Value Problems". У 2007 8th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing. IEEE, 2007. http://dx.doi.org/10.1109/snpd.2007.459.

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Webb, J. R. L., Alberto Cabada, Eduardo Liz, and Juan J. Nieto. "Higher order non-local (n−1,1) conjugate type boundary value problems." In MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE: International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine. AIP, 2009. http://dx.doi.org/10.1063/1.3142949.

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DeLillo, Thomas K., Tomasz Hrycak, and Nicolas Valdivia. "Iterative Regularization Methods for Inverse Problems in Acoustics." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32730.

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We consider the use of conjugate-gradient-like iterative methods for the solution of integral equations arising from an inverse problem in acoustics in a bounded three dimensional region. The inverse problem is the computation of the normal velocities on the boundary of a region from pressure measurements on an interior surface. The pressure satisfies the Helmholtz equation in the region. Two formulations are considered: one based on the representation of pressures by a single layer potential and the other based on the Helmholtz-Kirchhoff integral equation. Both formulations can be used to app
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Grigoriev, M. M., and G. F. Dargush. "A Fast Multi-Level Boundary Element Method for the Steady Heat Diffusion Equation." In ASME 2003 Heat Transfer Summer Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/ht2003-47450.

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A fast, accurate and efficient multi-level boundary element method is developed to solve general boundary value problems. Here we concentrate on problems of two-dimensional steady potential flow and present a fast direct boundary element formulation. This novel method extends the pioneering work of Brandt and Lubrecht on multi-level multi-integration (MLMI) in several important ways to address problems with mixed boundary conditions. We utilize bi-conjugate gradient methods (BCGM) and implement the MLMI approach for fast matrix and matrix transpose multiplication for every iteration loop. Furt
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Siddique, Waseem, Torsten H. Fransson, and Lamyaa A. El-Gabry. "Improved Design of Internally Cooled Trailing Edge at Engine Similar Conditions: A Conjugate Heat Transfer Problem." In ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/gt2012-68557.

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Gas turbines are operated at elevated temperatures as the thermal efficiency of the gas turbine is directly linked to the turbine inlet gas temperature. The different regions of the turbine blade require different means of cooling. This paper presents different designs of the two-pass trapezoidal channel which represents the trailing edge of a real engine. Engine similar boundary conditions are applied and conjugate heat transfer method is used to predict the wall temperatures. The aim is to design a cooling channel that through use of steam can reduce wall temperatures to below a target value
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Wang, Zhenfeng, Peigang Yan, Hongyan Huang, and Wanjin Han. "Coupled BEM and FDM Conjugate Analysis of a Three-Dimensional Air-Cooled Turbine Vane." In ASME Turbo Expo 2009: Power for Land, Sea, and Air. ASMEDC, 2009. http://dx.doi.org/10.1115/gt2009-59030.

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A coupled boundary element method (BEM) and finite difference method (FDM) are applied to solve conjugate heat transfer problem of a three-dimensional air-cooled turbine blade. A loosely coupled strategy is adopted, in which each set of field equations is solved to provide boundary conditions for the other. In the fluid region, computation code (HIT-NS CODE) adopts the FDM to solve the Navier-Stokes equations. In the solid region, the BEM is adopted to resolve the conduction heat transfer equations. An iterated convergence criterion is the continuity of temperature and heat flux at the fluid-s
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Ruan, Yougang, and Zhenping Feng. "Adjoint Based Heat Conduction Optimization of Struts Parameters Within Hollow Blade." In ASME Turbo Expo 2021: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/gt2021-59422.

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Abstract In gas turbine, the interaction between hot gas mainstream and blade solid region becomes more and more obvious as the turbine inlet temperature increases, thus heat conduction within the blade solid regions should be taken into consideration in optimization design process. In this paper, an adjoint-based optimization method for heat conduction problems in the solid region was built based on ANSYS Fluent and OpenFOAM Solver. The continuous adjoint equation and the corresponding boundary conditions for three typical conduction boundary conditions were derived in detail. To validate the
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Wang, Zhenfeng, Peigang Yan, Hongfei Tang, Hongyan Huang, and Wanjin Han. "The Simulation Study of Turbulence Models for Conjugate Heat Transfer Analysis of a High Pressure Air-Cooled Gas Turbine." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22088.

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The different turbulence models are adopted to simulate NASA-MarkII high pressure air-cooled gas turbine. The experimental work condition is Run 5411. The paper researches that the effect of different turbulence models for the flow and heat transfer characteristics of turbine. The turbulence models include: the laminar turbulence model, high Reynolds number k-ε turbulence model, low Reynolds number turbulence model (k-ω standard format, k-ω-SST and k-ω-SST-γ-θ) and B-L algebra turbulence model which is adopted by the compiled code. The results show that the different turbulence models can give
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Nistri, Paolo. "Nonlinear boundary value control problems." In 1986 25th IEEE Conference on Decision and Control. IEEE, 1986. http://dx.doi.org/10.1109/cdc.1986.267376.

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Vasilyev, Vladimir. "On discrete boundary value problems." In INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000647.

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Reports on the topic "Conjugate boundary value problems"

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Greengard, L. Spectral Integration and Two-Point Boundary Value Problems. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada199805.

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Wiener, Joseph. Boundary Value Problems for Differential and Functional Differential Equations. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada187378.

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Greengard, L., and V. Rokhlin. On the Numerical Solution of Two-Point Boundary Value Problems. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada211244.

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Garbey, M., and H. G. Kaper. Heterogeneous domain decomposition for singularly perturbed elliptic boundary value problems. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/510563.

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Keller, H. B., and H. O. Kreiss. Mathematical Software for Hyperbolic Equations and Two Point Boundary Value Problems. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada151982.

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Pieper, G. Proceedings of the focused research program on spectral theory and boundary value problems. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/5634269.

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Pieper, G. W. Proceedings of the focused research program on spectral theory and boundary value problems: Volume 3, Linear differential equations and systems. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/6023178.

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Just, Richard E., Eithan Hochman, and Sinaia Netanyahu. Problems and Prospects in the Political Economy of Trans-Boundary Water Issues. United States Department of Agriculture, 2000. http://dx.doi.org/10.32747/2000.7573997.bard.

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The objective of this research was to develop and apply a conceptual framework for evaluating the potential of trans-boundary bargaining with respect to water resource sharing. The research accomplished this objective by developing a framework for trans-boundary bargaining, identifying opportunities for application, and illustrating the potential benefits that can be gained thereby. Specifically, we have accomplished the following: - Developed a framework to measure the potential for improving economic efficiency considering issues of political feasibility and sustainability that are crucial i
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R. Axford. Applications of Lie Groups and Gauge Functions to the Construction of Exact Difference Equations for Initial and Two-Point Boundary Value Problems. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/810261.

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Author, Unknown. PR-178-516-R02 Experience with Geotech and the Current Complex Programs. Pipeline Research Council International, Inc. (PRCI), 1987. http://dx.doi.org/10.55274/r0011450.

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An evaluation of the GEOTECH program developed by Jean Prevost of Princeton University for project PR-158-151. The program predicts static and transient, two and three dimensional soil behavior for general initial value problems. The integrated current complex computer program was also evaluated as developed by Applied Science Associates, Inc. for project PR-169-186. The programs predict (wave parameters and) the current velocities from an integration of a continental shelf circulation model, a wind-wave model, and a bottom boundary layer model.
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