EXISTENCE THEOREMS OF POSITIVE SOLUTIONS FOR FOURTH-ORDER FOUR-POINT BOUNDARY VALUE PROBLEMS

DOI10.1142/S0219530504000254zbMath1050.34009OpenAlexW2018324223MaRDI QIDQ4474604

Yuji Liu, Weigao Ge

Publication date: 12 July 2004

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

Full work available at URL: https://doi.org/10.1142/s0219530504000254

zbMATH Keywords

conemultiple positive solutionsBoundary value problemAvery-Henderson fixed-point theorem (generalized Leggett-Williams fixed-point theorem)

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) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (3)

Further results on periodic boundary value problems for nonlinear first order impulsive functional differential equations ⋮ Uniqueness of solutions for fourth-order nonlocal boundary value problems ⋮ Positive solutions of periodic boundary value problems for nonlinear first-order impulsive differential equations

Cites Work

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• Existence theorems for a second order three-point boundary value problem
• Three symmetric positive solutions for a second-order boundary value problem
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• Existence and uniqueness theorems for the bending of an elastic beam equation
• Existence and nonexistence for a singular boundary value problem
• Solvability of some nonlinear boundary value problems
• Existence of solutions for nonlinear singular boundary value problems
• Solvability of three point boundary value problems at resonance
• Multiple positive solutions for difference equations
• On a nonlinear boundary value problem for fourth order equations
• Existnence and nonexistence of positive solutions of fourth order nonlinear boundary value problems
• Existence for a class of nonlinear singular boundary value problems

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