The method of lower and upper solutions for systems of boundary value problems

DOI10.1016/S0096-3003(02)00400-9zbMath1030.34020OpenAlexW1995741044MaRDI QIDQ1398664

Xiaojing Yang

Publication date: 7 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00400-9

zbMATH Keywords

Dirichlet boundary value problemsLower and upper solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (10)

The method of lower and upper solutions for \(2n\)th-order multi-point boundary value problems ⋮ Singularly perturbed third-order boundary value problem for nonlinear systems ⋮ Existence of solutions of boundary value problem for 3rd order nonlinear system ⋮ Fourth-order problems with fully nonlinear boundary conditions ⋮ On a system modelling a population with two age groups ⋮ Differential inequalities method to \(n\)th-order boundary value problems ⋮ Positive solutions of \(2n\)th-order ordinary differential equations with multi-point boundary conditions ⋮ Bounding functions methods for fully nonlinear boundary value problems ⋮ Existence and location results for fully nonlinear boundary value problem of \(n\)th-order nonlinear system ⋮ On the Dirichlet problem associated with bounded perturbations of positively-\((p, q)\)-homogeneous Hamiltonian systems

Cites Work

• Existence and monotone method for periodic solutions of first-order differential equations
• Upper and lower solutions and topological degree
• The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
• Existence of multiple solutions for second order boundary value problems

This page was built for publication: The method of lower and upper solutions for systems of boundary value problems