Multiplicity results via topological degree for impulsive boundary value problems under non-well-ordered upper and lower solution conditions

DOI10.1155/2008/197205zbMath1158.34015OpenAlexW2145828656WikidataQ59218066 ScholiaQ59218066MaRDI QIDQ954847

Donal O'Regan, Ravi P. Agarwal, Xian Xu

Publication date: 18 November 2008

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55212

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items

Multiple positive solutions of the singular boundary value problem for second-order impulsive differential equations on the half-line ⋮ Existence of positive solutions for an impulsive differential equation with \(p\)-Laplacian operator ⋮ CRITICAL POINT APPROACHES FOR IMPULSIVE STURM-LIOUVILLE DIFFERENTIAL EQUATIONS WITH NONLINEAR DERIVATIVE DEPENDENCE ⋮ Differentiability of solutions of impulsive differential equations with respect to the impulsive perturbations ⋮ Existence and multiplicity results for second-order discontinuous problems via non-ordered lower and upper solutions ⋮ Multiple positive solutions of the singular boundary value problem for Sturm-Liouville equation with impulses on the half line ⋮ Positive solutions of singular impulsive differential equations with nonlinear boundary conditions ⋮ Existence of positive solutions for multipoint boundary value problem on the half-line with impulses ⋮ Infinitely many solutions for a boundary value problem with discontinuous nonlinearities ⋮ Global attractivity results for mixed-monotone mappings in partially ordered complete metric spaces ⋮ Existence of solutions for first-order Hamiltonian random impulsive differential equations with Dirichlet boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities
• Existence and localization of solution for second order elliptic BVP in presence of lower and upper solutions without any order
• Upper and lower solutions and topological degree
• Existence and localization of solutions of second order elliptic problems using lower and upper solutions in the reversed order
• Multiple positive solutions of a boundary value problem for \(n\)th-order impulsive integro-differential equations in a Banach space.
• Upper and lower solutions and multiplicity results
• Positive solutions of second-order three-point boundary value problems with change of sign
• Multiplicity results for three-point boundary value problems with a non-well-ordered upper and lower solution condition
• Three solutions for three-point boundary value problems
• Existence of at least three solutions of a second-order three-point boundary value problem
• Periodic boundary value problems for second order impulsive integro-differential equations in banach spaces
• Quasi-solutions of nonlinear impulsive equations in abstract cones
• Nonlinear boundary value problems for first order impulsive integro-differential equations
• Existence of a solution of a three-point boundary value problem and the spectral radius of a related linear operator
• Existence of solutions of nonlinear \(m\)-point boundary-value problems

This page was built for publication: Multiplicity results via topological degree for impulsive boundary value problems under non-well-ordered upper and lower solution conditions