Periodic boundary value problems for functional differential equations (Q1420723)

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.