Positive solutions of multi-point boundary value problems with multivalued operators at resonance

DOI10.1007/s12190-008-0217-2zbMath1185.34019OpenAlexW2052968549MaRDI QIDQ1034976

Aijun Yang, Weigao Ge

Publication date: 9 November 2009

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0217-2

zbMATH Keywords

conemultivalued operatorpositive solutionresonancecoincidence degree theory

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential inclusions (34A60) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (3)

Positive solutions of fractional differential inclusions at resonance ⋮ On the existence of positive solutions of resonant and nonresonant multipoint boundary value problems for third-order nonlinear differential equations ⋮ POSITIVE SOLUTION FOR NONLINEAR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive solutions for multi-point boundary value problem on the half-line
• Multiple positive solutions of some nonlinear heat flow problems
• Existence and monotone iteration of positive solutions for a three-point boundary value problem
• Some coincidence theorems in wedges, cones, and convex sets
• Existence and iteration of \(n\) symmetric positive solutions for a singular two-point boundary value problem
• A coincidence theorem in convex sets with applications to periodic solutions of ordinary differential equations
• Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type
• Necessary and sufficient conditions for the existence of symmetric positive solutions of multi-point boundary value problems
• Multi-point boundary value problems on an unbounded domain at resonance
• Leggett--Williams theorems for coincidences of multivalued operators
• Leggett--Williams norm-type theorems for coincidences
• The method of lower and upper solutions for fourth order singular \(m\)-point boundary value problems
• Multiple Positive Solutions of Semilinear Differential Equations with Singularities
• On the solvability of x∈Tx+λFx in quasinormal cones with T and F k-set-contractive
• Positive solutions for second-order three-point boundary value problems

This page was built for publication: Positive solutions of multi-point boundary value problems with multivalued operators at resonance