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dc.contributor.authorLakshmikantham, V.en
dc.contributor.authorKannan, R.en
dc.date.accessioned2010-06-02T13:28:43Zen
dc.date.available2010-06-02T13:28:43Zen
dc.date.issued1982-04en
dc.identifier.urihttp://hdl.handle.net/10106/2227en
dc.description.abstract**Please note that the full text is embargoed** ABSTRACT: The existence of periodic solutions of semilinear parabolic equations has been investigated by several authors [1-10,15-18] by different methods such as the method of Poincare operator and the theory of monotone operators. In a recent paper [1] Amann also obtains multiplicity results. Recently, an attempt was made successfully in [11,12,16] to combine the two basic techniques, namely the method of upper and lower solutions and the method of Lyapunov-Schmidt to investigate existence of periodic solutions of first and second order equations. In this paper we continue this fruitful approach to study existence of periodic solutions of semilinear parabolic equations with homogeneous Neumann boundary conditions. The results obtained are exhaustive in the sense that they not only contain the known results, but also deal with other possible situations. Although our approach is extendable to general case, we have considered a simple parabolic equation in one space variable so as to bring out the ideas involved clearly.en
dc.language.isoen_USen
dc.publisherUniversity of Texas at Arlingtonen
dc.relation.ispartofseriesTechnical Report;179en
dc.subjectParabolic equationsen
dc.subjectPeriodic solutionsen
dc.subjectSemilinear parabolic equationsen
dc.subject.lcshMathematics Researchen
dc.titleExistence of Periodic Solutions of Semilinear Parabolic Equations and the Method of Upper and Lower Solutionsen
dc.typeTechnical Reporten
dc.publisher.departmentDepartment of Mathematicsen


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