A necessary and sufficient condition for 2\(n\)th-order singular super-linear \(m\)-point boundary value problems
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Publication:860628
DOI10.1016/j.jmaa.2006.04.056zbMath1117.34014OpenAlexW2044190561MaRDI QIDQ860628
Publication date: 9 January 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.056
Fixed-point theorems (47H10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
Related Items (14)
Multiple positive solutions of a boundary value problem for a class of \(2n\)th-order \(m\)-point singular integro-differential equations in Banach spaces ⋮ Solving singular boundary-value problems of higher even-order ⋮ On 2nth-order nonlinear multi-point boundary value problems ⋮ The iterative solutions of \(2n\)th-order nonlinear multi-point boundary value problems ⋮ Existence of positive solutions for a system of generalized Lidstone problems ⋮ Nontrivial solutions for higher-order \(m\)-point boundary value problem with a sign-changing nonlinear term ⋮ A necessary and sufficient condition for the existence of symmetric positive solutions of higher-order boundary value problems ⋮ A fourth-order compact finite difference method for nonlinear higher-order multi-point boundary value problems ⋮ Positive solutions for fourth-order singular \(p\)-Laplacian differential equations with integral boundary conditions ⋮ Existence and uniqueness of positive solutions for a higher order boundary value problem ⋮ Necessary and sufficient conditions for the existence of symmetric positive solutions of multi-point boundary value problems ⋮ Positive solutions of a 2nth-order boundary value problem involving all derivatives via the order reduction method ⋮ Efficient algorithms for fourth and sixth-order two-point non-linear boundary value problems using non-polynomial spline approximations on a geometric mesh ⋮ Multiple positive solutions of a \(m\)-point boundary value problem for \(2n\)th-order singular integro-differential equations in Banach spaces
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