The method of lower and upper solutions for \(n\)th-order periodic boundary value problems
From MaRDI portal
Publication:1327337
DOI10.1155/S1048953394000043zbMath0801.34026MaRDI QIDQ1327337
Publication date: 15 June 1994
Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/47014
maximum principleboundary value problemperiodicmonotone methodmethod of mixed monotonycomposition of two operators
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25)
Related Items (21)
Abstract existence theorems of positive solutions for nonlinear boundary value problems ⋮ Boundary value problems for higher order ordinary differential equations with impulses ⋮ Spectral characterization of the constant sign Green's functions for periodic and Neumann boundary value problems of even order ⋮ Existence of solutions to nonlinear first-order PBVPs on time scales ⋮ Fixed points and approximate solutions for nonlinear operator equations ⋮ Extremal solutions and Green's functions of higher order periodic boundary value problems in time scales. ⋮ Maximum principles for fourth and sixth order periodic boundary value problems ⋮ Existence of positive periodic solutions for higher-order ordinary differential equations ⋮ Existence and multiplicity of positive solutions to nonlinear first-order PBVPs on time scales ⋮ A monotone method for fourth order value problems involving a factorizable linear operator ⋮ Twin positive solutions of nonlinear first-order boundary value problems on time scales ⋮ Green's function and maximum principle for higher order ordinary differential equations with impulses. ⋮ Quasilinearization and rate of convergence for higher-order nonlinear periodic boundary-value problems ⋮ Positive solutions of higher-order periodic boundary value problems ⋮ Odd periodic solutions for 2\(n\)th-order ordinary differential equations ⋮ Existence of multiple positive periodic solutions for delay differential equation whose order is a multiple of 4 ⋮ MAXIMUM PRINCIPLES AROUND AN EIGENVALUE WITH CONSTANT EIGENFUNCTIONS ⋮ Existence and uniqueness for higher order periodic boundary value problems under spectral separation conditions ⋮ On the existence and uniqueness for higher order periodic boundary value problems ⋮ Positive solutions to nonlinear first-order PBVPs with parameter on time scales ⋮ Existence and location results for fully nonlinear boundary value problem of \(n\)th-order nonlinear system
This page was built for publication: The method of lower and upper solutions for \(n\)th-order periodic boundary value problems