Abd-Ellateef Kamar, Ahmed R.; Drici, Zahia Generalized quasilinearization for systems of nonlinear differential equations with periodic boundary conditions. (English) Zbl 1092.34508 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 12, No. 1, 77-85 (2005). The existence and uniqueness of a solution to periodic boundary value problems of a class of systems of nonlinear differential equations are established by upper and lower solutions. The method of generalized quasilinearization is employed to prove the result. Reviewer: Haiyan Wang (Phoenix) Cited in 7 Documents MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems Keywords:generalized quasilinearization; upper and lower solutions; periodic boundary value problems PDF BibTeX XML Cite \textit{A. R. Abd-Ellateef Kamar} and \textit{Z. Drici}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 12, No. 1, 77--85 (2005; Zbl 1092.34508)