Systems of differential equations with fully nonlinear boundary conditions

DOI10.1017/S0004972700030926zbMath0893.34011MaRDI QIDQ4374800

H. B. Thompson

Publication date: 14 May 1998

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Green functionsLeray-Schauder continuation principlenonlinear second order BVP

Mathematics Subject Classification ID

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

Related Items

Boundary value problems for systems of difference equations associated with systems of second-order ordinary differential equations ⋮ Systems of differential equations with implicit impulses and fully nonlinear boundary conditions ⋮ Existence of solutions to boundary value problems for dynamic systems on time scales ⋮ Uniqueness implies existence of solutions for nonlinear focal-like boundary value problems ⋮ Systems of difference equations associated with boundary value problems for second order systems of ordinary differential equations ⋮ The Dirichlet problem for the vector ordinary \(p\)-Laplacian

Cites Work

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• Nonlinear boundary value problems for systems of differential equations
• Boundary value problems for second and third order differential equations
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• On the existence of periodic solutions for second order vector differential equations
• Periodic boundary value problems for systems of second order differential equations
• Non-linear boundary value problems for systems of differential equations†
• A Simple Alternative Problem for Finding Periodic Solutions of Second Order Ordinary Differential Systems