Multiplicity results for second order non-autonomous singular Dirichlet systems

DOI10.1007/s10440-008-9277-4zbMath1228.34037OpenAlexW2107628559MaRDI QIDQ2391005

Jifeng Chu, Donal O'Regan

Publication date: 24 July 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9277-4

zbMATH Keywords

positive solutionstruncation techniquesfixed point theorem in conesLeray-Schauder alternative principlesingular Dirichlet systems

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (11)

IMPULSIVE PERIODIC SOLUTIONS FOR SINGULAR PROBLEMS VIA VARIATIONAL METHODS ⋮ Positive solutions of singular Dirichlet boundary value problems with time and space singularities ⋮ Positive bound states of systems of nonlinear Schrödinger equations ⋮ Nontrivial solutions of second-order singular Dirichlet systems ⋮ Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the antarctic circumpolar current ⋮ A nonlinear singular differential system with perturbed integral boundary conditions ⋮ Periodic solution generated by impulses for singular differential equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Recent existence results for second-order singular periodic differential equations ⋮ Lower and upper functions in a singular Dirichlet problem with \(\phi\)-Laplacian

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