A monotone method for constructing extremal solutions to fourth-order periodic boundary value problems.

DOI10.1016/S0096-3003(01)00201-6zbMath1036.34020MaRDI QIDQ1855847

Daqing Jiang, Wen-jie Gao, A-ying Wan

Publication date: 28 January 2003

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

zbMATH Keywords

upper and lower solutionsmonotone iterative techniqueperiodic boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

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Monotone positive solution of a fourth-order BVP with integral boundary conditions, The upper and lower solution method for some fourth-order boundary value problems, Solvability of a fourth-order boundary value problem with integral boundary conditions, Constant sign solutions of two-point fourth order problems, Positive solutions for nonlocal extended Fisher-Kolmogorov and Swift-Hohenberg equations, Monotone iterative technique and symmetric positive solutions for a fourth-order boundary value problem, Upper and Lower Solutions Method for Fourth-Order Periodic Boundary Value Problems, Radial solutions for a nonlocal boundary value problem, Symmetric positive solutions for \(p\)-Laplacian fourth-order differential equations with integral boundary conditions, Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces, A monotone method for fourth order value problems involving a factorizable linear operator, Existence of solutions for a fully nonlinear fourth-order two-point boundary value problem, Positive solutions of fourth order problems with clamped beam boundary conditions, Positive solutions for a class of boundary-value problems with integral boundary conditions, Existence of multiple positive periodic solutions for delay differential equation whose order is a multiple of 4, Nontrivial solutions of a fully fourth-order periodic boundary value problem, Symmetric positive solutions of boundary value problems with integral boundary conditions

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