# Existence and localization of solutions for fourth-order boundary-value problems

 dc.contributor.author Enguica, Ricardo dc.contributor.author Sanchez, Luis dc.date.accessioned 2021-08-17T16:17:22Z dc.date.available 2021-08-17T16:17:22Z dc.date.issued 2007-09-28 dc.description.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. dc.description.department Mathematics dc.format Text dc.format.extent 10 pages dc.format.medium 1 file (.pdf) dc.identifier.citation Enguiça, R., & Sanchez, L. (2007). Existence and localization of solutions for fourth-order boundary-value problems. Electronic Journal of Differential Equations, 2007(127), pp. 1-10. dc.identifier.issn 1072-6691 dc.identifier.uri https://hdl.handle.net/10877/14341 dc.language.iso en dc.publisher Texas State University-San Marcos, Department of Mathematics dc.rights Attribution 4.0 International dc.rights.uri https://creativecommons.org/licenses/by/4.0/ dc.source Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. dc.subject Beam equation dc.subject Fourth order boundary value problem dc.subject Maximum principles dc.subject Lower and upper solutions dc.subject Reversed order dc.title Existence and localization of solutions for fourth-order boundary-value problems dc.type Article

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