On 2\(n\)th-order Lidstone boundary value problems

DOI10.1016/j.jmaa.2005.03.039zbMath1090.34015OpenAlexW2071262755MaRDI QIDQ2575029

Yuan-Ming Wang

Publication date: 5 December 2005

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.2005.03.039

zbMATH Keywords

maximum principleexistenceuniquenessupper and lower solutionsLidstone boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (16)

Existence and multiplicity results for some generalized Hammerstein equations with a parameter ⋮ 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 ⋮ A fourth-order compact finite difference method for nonlinear higher-order multi-point boundary value problems ⋮ Nontrivial solutions for the \(2n^{\text{th}}\) Lidstone boundary value problem ⋮ Positivity conditions and bounds for Green's functions for higher order two-point BVP ⋮ Existence and uniqueness of positive solutions for a higher order boundary value problem ⋮ Positive solutions for a system of generalized Lidstone problems ⋮ Complementary Lidstone interpolation and boundary value problems ⋮ Collocation for high-order differential equations with Lidstone boundary conditions ⋮ Bifurcation techniques for Lidstone boundary value problems ⋮ Positive solutions of a 2nth-order boundary value problem involving all derivatives via the order reduction method ⋮ A fourth-order compact finite difference method for higher-order lidstone boundary value problems ⋮ Rectangles of positive eigenvalues with positive eigenfunctions of nonlinear multiparameter coupled systems ⋮ Existence of solutions for higher order BVP with parameters via critical point theory

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