Periodic boundary value problems for functional differential equations
type: Item
instance of: scholarly article
title: Periodic boundary value problems for functional differential equations
zbMATH Open document ID: 1046.34083
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 2004-02-03T00:00:00Z
review text: Here, the method of quasilinearization is used to solve periodic boundary value problems for nonlinear functional-differential equations. The method of quasilinearization has been extensively applied in the last fourty years to many nonlinear problems involving integral, differential and partial differential equations, see \textit{V. Lakshmikantham} and \textit{A. S. Vatsala} [Generalized quasilinearization for nonlinear problems, Dordrecht: Kluwer Academic Publishers (1998; Zbl 0997.34501)], and a general theory to unify particular results was developed by \textit{A. Buica} and \textit{R. Precup} [Nonlinear Stud. 9, No. 4, 371--387 (2002; Zbl 1020.65031)]. It would be interesting to investigate the connection of the results in the present paper with the above general theory.
Mathematics Subject Classification ID: 34K10
zbMATH DE Number: 2031073
zbMATH Keywords: quasilinearization
zbMATH Keywords: periodic boundary value problem
zbMATH Keywords: functional-differential equation
zbMATH Keywords: monotone iterations.
author: Tadeusz Jankowski
reviewed by: Radu Precup
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2031073