Two positive solutions for second-order quasilinear differential equation boundary value problems with sign changing nonlinearities

DOI10.1016/j.cam.2003.12.029zbMath1062.34019OpenAlexW2050652885WikidataQ115359898 ScholiaQ115359898MaRDI QIDQ1877182

Yanping Guo, Jiwei Tian

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2003.12.029

zbMATH Keywords

existenceboundary value problemspositive symmetric solutionsp-Laplacianfixed-point theorem in cones

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 (7)

Positive solutions of m-point boundary value problems for higher order ordinary differential equations ⋮ Solutions and Green's functions for boundary value problems of second-order four-point functional difference equations ⋮ Positive, negative and mixed-type solutions for periodic vector differential equations ⋮ Positive pseudo-symmetric solutions for higher order differential equation boundary value problems with sign changing nonlinearities ⋮ On the existence and multiplicity of positive periodic solutions for first-order vector differential equation ⋮ Second-order Sturm-Liouville boundary value problem involving the one-dimensional \(p\)-Laplacian ⋮ Multiple positive solutions for a second order Sturm-Liouville boundary value problem with a \(p\)-Laplacian via variational methods

Cites Work

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• Three symmetric positive solutions for a second-order boundary value problem
• Twin solutions of boundary value problems for ordinary differential equations and finite difference equations
• An extension of Tietze's theorem
• On the Existence of Positive Solutions of Ordinary Differential Equations
• The existence of positive solutions for the one-dimensional $p$-Laplacian
• Multiple symmetric positive solutions for a second order boundary value problem

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