Sign-changing solution for a third-order boundary-value problem in ordered Banach space with lattice structure

DOI10.1186/1687-2770-2014-132zbMath1309.34029OpenAlexW2116837570WikidataQ59323663 ScholiaQ59323663MaRDI QIDQ476948

Zengqin Zhao, Xiu-Li Lin

Publication date: 2 December 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-132

zbMATH Keywords

latticefixed pointGreen's functionsign-changing solutionthird-order boundary-value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (7)

Existence of solution for integral boundary value problems of fractional differential equations ⋮ Existence of solutions to nonlinear fractional differential equations with boundary conditions on an infinite interval in Banach spaces ⋮ A fixed-point theorem for ordered contraction-type decreasing operators in Banach space with lattice structure ⋮ Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity ⋮ NEW EXISTING RESULTS FOR A SYSTEM OF NONLINEAR THIRD-ORDER DIFFERENTIAL EQUATION VIA FIXED POINT INDEX ⋮ Fractional boundary value problems with Riemann-Liouville fractional derivatives ⋮ Nontrivial solutions for an integral boundary value problem involving Riemann-Liouville fractional derivatives

Cites Work

• Unnamed Item
• Existence of solutions for a class of third-order nonlinear boundary value problems
• On sign-changing solutions for a second-order integral boundary value problem
• Solvability of a third-order two-point boundary value problem
• Computation of topological degree in ordered Banach spaces with lattice structure and its application to superlinear differential equations
• Computation of topological degree of unilaterally asymptotically linear operators and its applications
• The existence of solution for a third-order two-point boundary value problem
• On sign-changing solution for some three-point boundary value problems
• Eigenvalue for a singular third-order three-point boundary value problem
• Existence of positive solutions for nonlinear third-order three-point boundary value problems
• Positive solutions of singular third-order three-point boundary value problem
• On multiple sign-changing solutions for some second-order integral boundary value problems

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