Existence and localization of solutions for fourth-order boundary-value problems
Date
2007-09-28
Authors
Enguica, Ricardo
Sanchez, Luis
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper, we study the existence of solutions for the differential equation
u(4)(t) = ƒ(t, u(t), u″(t)),
where ƒ satisfies one-sided Lipschitz conditions with respect to u and u″, with periodic conditions or boundary conditions from "simply supported" beam theory. We assume the existence of lower and upper solutions (well-ordered and in some cases reversely ordered) and we make use of a fourth-order linear differential operator factorization.
Description
Keywords
Beam equation, Fourth order boundary value problem, Maximum principles, Lower and upper solutions, Reversed order
Citation
Enguiça, R., & Sanchez, L. (2007). Existence and localization of solutions for fourth-order boundary-value problems. <i>Electronic Journal of Differential Equations, 2007</i>(127), pp. 1-10.
Rights
Attribution 4.0 International