Positive solutions of fourth-order superlinear singular boundary value problems

DOI10.1017/S0004972700020712zbMath1032.34022MaRDI QIDQ3153725

Guoliang Shi, Shaozhu Chen

Publication date: 4 March 2004

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

zbMATH Keywords

positive solutionsingular boundary value problemfourth-order superlinear equation

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (7)

B-method approach to blow-up solutions of fourth-order semilinear parabolic equations ⋮ Monotone iterative for fourth-order \(p\)-Laplacian boundary value problems with impulsive effects ⋮ Necessary and sufficient conditions for the existence of symmetric positive solutions of singular boundary value problems ⋮ Positive solutions for higher order singular \(p\)-Laplacian boundary value problems ⋮ Positive solutions of singular sublinear fourth-order boundary value problems ⋮ Necessary and sufficient conditions for the existence of symmetric positive solutions of multi-point boundary value problems ⋮ Positive solutions for fourth-order singularp-Laplacian boundary value problems

Cites Work

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• Existence and uniqueness theorems for fourth-order boundary value problems
• Solvability of some fourth (and higher) order singular boundary value problems
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• Singular boundary value problems on a half-line
• Fourth-Order Two-Point Boundary Value Problems
• On a nonlinear boundary value problem for fourth order equations
• Existnence and nonexistence of positive solutions of fourth order nonlinear boundary value problems
• On the existence of positive solutions of fourth-order ordinary differential equations

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