On the positive solutions of Lidstone boundary value problems.

DOI10.1016/S0096-3003(02)00152-2zbMath1093.34515MaRDI QIDQ1406100

Qing-liu Yao

Publication date: 9 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

multiplicitynonexistenceExistence

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (18)

Existence of nodal solutions for Lidstone eigenvalue problems ⋮ Existence of \(n\) solutions and/or positive solutions to a semipositone elastic beam equation ⋮ Eigenvalues of complementary Lidstone boundary value problems ⋮ Existence of positive solutions for Lidstone boundary value problems on time scales ⋮ Triple solutions of complementary Lidstone boundary value problems via fixed point theorems ⋮ Positive solutions of nonlinear second-order periodic boundary value problems ⋮ Existence results for a fractional boundary value problem with fractional Lidstone conditions ⋮ Elastic beam problem with higher order derivatives ⋮ Bifurcation techniques for Lidstone boundary value problems ⋮ Positive solutions for eigenvalue problems of fourth-order elastic beam equations. ⋮ Solution and positive solution for a semilinear third-order two-point boundary value problem. ⋮ Bifurcation techniques and positive solutions of discrete Lidstone boundary value problems ⋮ Higher order boundary value problems on time scales ⋮ Global structure of positive solutions for superlinear 2mth-boundary value problems ⋮ On the Positive Solutions of a Nonlinear Fourth-order Boundary Value Problem with Two Parameters ⋮ Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem ⋮ Existence of positive solutions of lidstone boundary value problems ⋮ Some applications of dominated convergence theorems to a higher-order singular boundary value problem

Cites Work

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• Positive radial solutions of semilinear elliptic equation \(\Delta u+f(r,u)=0\) in the annulus
• Eigenvalues of Lidstone boundary value problems
• Multiple positive solutions of some boundary value problems
• Monotone iterative technique and positive solutions of Lidstone boundary value problems
• Multiple symmetric positive solutions for a second order boundary value problem

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