The unique solution for periodic differential equations with upper and lower solutions in reverse order

DOI10.1186/1687-2770-2013-88zbMath1296.34068OpenAlexW2120655602WikidataQ59301593 ScholiaQ59301593MaRDI QIDQ2017336

Aijun Yang, Helin Wang, Ding-jiang Wang

Publication date: 25 June 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-88

zbMATH Keywords

anti-maximum principleunique solutionmonotone iterative methodreversed order upper and lower solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45)

Cites Work

• The monotone method for periodic differential equations with the non well-ordered upper and lower solutions
• Existence of at least three solutions of nonlinear three point boundary value problems with super-quadratic growth
• Boundary value problems involving upper and lower solutions in reverse order
• Optimal existence conditions for \(\varphi\)-Laplacian equations with upper and lower solutions in the reversed order
• The monotone method for Neumann functional differential equations with upper and lower solutions in the reverse order
• Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order
• Extremal solutions for third-order nonlinear problems with upper and lower solutions in reversed order
• Existence of at least three solutions of a second-order three-point boundary value problem
• A monotone iterative scheme for a nonlinear second order equation based on a generalized anti–maximum principle
• Monotone method for the Neumann problem with lower and upper solutions in the reverse order

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