Nonexistence and existence of positive solutions for second order singular three-point boundary value problems with derivative dependent and sign-changing nonlinearities

DOI10.1007/s12190-010-0388-5zbMath1223.34021OpenAlexW2081193521MaRDI QIDQ545568

Caisheng Ji, Donal O'Regan, Baoqiang Yan, Ravi P. Agarwal

Publication date: 22 June 2011

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

Full work available at URL: https://doi.org/10.1007/s12190-010-0388-5

zbMATH Keywords

singularitypositive solutionnonlinear differential equationsign-changing

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) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (2)

Existence of positive solutions for singular fourth-order three-point boundary value problems ⋮ EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR nth-ORDER THREE-POINT NONHOMOGENEOUS BOUNDARY VALUE PROBLEM

Cites Work

• Unnamed Item
• Unnamed Item
• Nonexistence and existence of multiple positive solutions for superlinear three-point boundary value problems via index theory
• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• Positive solutions of some second-order nonlinear singular differential equations.
• Positive solutions for three-point boundary value problems with dependence on the first order derivative.
• Multiple solutions for a super-linear three-point boundary value problem
• Multiple solutions for three-point boundary value problem with nonlinear terms depending on the first order derivative
• Positive solutions of singular Dirichlet boundary value problems with sign-changing nonlinearities
• Positive solutions for a singular second-order three-point boundary value problem
• Positive solutions of second-order three-point boundary value problems with change of sign in Banach spaces
• Existence of at least three solutions of a second-order three-point boundary value problem
• Nodal solutions for second-order \(m\)-point boundary value problems with nonlinearities across several eigenvalues

This page was built for publication: Nonexistence and existence of positive solutions for second order singular three-point boundary value problems with derivative dependent and sign-changing nonlinearities