Necessary and sufficient conditions for the existence of symmetric positive solutions of singular boundary value problems

DOI10.1016/j.jmaa.2006.09.046zbMath1119.34017OpenAlexW2053004252MaRDI QIDQ878511

Lingju Kong, John R. Graef

Publication date: 26 April 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.09.046

zbMATH Keywords

conefixed point theorem

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Fixed-point theorems (47H10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

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Cites Work

• A necessary and sufficient condition for the existence of positive solutions of singular boundary value problems
• Symmetric positive solutions of nonlinear boundary value problems
• Triple positive solutions and dependence on higher order derivatives
• Positive solutions of even higher-order singular superlinear boundary value problems.
• Three symmetric positive solutions for a second-order boundary value problem
• Existence of positive solutions for 2\(n\)th-order singular sublinear boundary value problems
• Positive solutions of fourth-order superlinear singular boundary value problems
• Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations
• Positive Solutions of Nonlinearm-point Boundary Value Problems on a Measure Chain
• Multiple symmetric positive solutions for a second order boundary value problem
• Positive solutions of singular sublinear fourth-order boundary value problems
• Multiplicity of positive solutions for higher order Sturm-Liouville problems
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