An overview of the lower and upper solutions method with nonlinear boundary value conditions.
Cabada, Alberto (2011)
Boundary Value Problems [electronic only]
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Displaying similar documents to “Nonlinear boundary value problems for ordinary differential equations”
An overview of the lower and upper solutions method with nonlinear boundary value conditions.
30 Years of Calderón’s Problem
Gunther Uhlmann (2012-2013)
Séminaire Laurent Schwartz — EDP et applications
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In this article we survey some of the most important developments since the 1980 paper of A.P. Calderón in which he proposed the problem of determining the conductivity of a medium by making voltage and current measurements at the boundary.
The shooting method and nonhomogeneous multipoint bvps of second-order ODE.
Kwong, Man Kam, Wong, James S.W. (2007)
Boundary Value Problems [electronic only]
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Finiteness of the set of solutions of some boundary-value problems for ordinary differential equations
Ludger Brüll, Jean Mawhin (1988)
Archivum Mathematicum
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Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions
David Krejčiřík (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider the Laplacian in a domain squeezed between two parallel curves in the plane, subject to Dirichlet boundary conditions on one of the curves and Neumann boundary conditions on the other. We derive two-term asymptotics for eigenvalues in the limit when the distance between the curves tends to zero. The asymptotics are uniform and local in the sense that the coefficients depend only on the extremal points where the ratio of the curvature radii of the Neumann boundary to the...
Uniqueness of Dirichlet, Neumann, and mixed boundary value problems for Laplace's and Poisson's equations for a rectangle.
J. B. Díaz, R. B. Ram (1979)
Collectanea Mathematica
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Existence and uniqueness of positive solutions for Neumann problems of second order impulsive differential equations.
Zhai, Chengbo, Song, Ruipeng (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Multiplicity of positive solutions to second order differential equations with Neumann boundary conditions
Jifeng Chu, Daqing Jiang, Donal O'Regan, R. P. Agarwal (2005)
Applicationes Mathematicae
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We study the existence of positive solutions to second order nonlinear differential equations with Neumann boundary conditions. The proof relies on a fixed point theorem in cones, and the positivity of Green's function plays a crucial role in our study.