Boundary value problems for a class of singular second order differential equation.

Zhou, Wen-Shu

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Positive solutions for third order multi-point singular boundary value problems

John R. Graef, Lingju Kong, Bo Yang (2010)

Czechoslovak Mathematical Journal

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We study a third order singular boundary value problem with multi-point boundary conditions. Sufficient conditions are obtained for the existence of positive solutions of the problem. Recent results in the literature are significantly extended and improved. Our analysis is mainly based on a nonlinear alternative of Leray-Schauder.

Positive symmetric solutions of singular semipositone boundary value problems.

Rudd, Matthew, Tisdell, Christopher C. (2009)

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Iterative solutions of singular boundary value problems of third-order differential equation.

Zhang, Peiguo (2011)

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Positive solutions for nonlinear $n$ th-order singular nonlocal boundary value problems.

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Positive solutions of boundary value problems for system of nonlinear fourth-order differential equations.

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Existence Principles for Singular Vector Nonlocal Boundary Value Problems with $φ$ -Laplacian and their Applications

Staněk, Svatoslav (2011)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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Existence principles for solutions of singular differential systems ${(φ (u^{'}))}^{'} = f (t, u, u^{'})$ satisfying nonlocal boundary conditions are stated. Here $φ$ is a homeomorphism $ℝ^{N}$ onto $ℝ^{N}$ and the Carathéodory function $f$ may have singularities in its space variables. Applications of the existence principles are given.