Generalized Quasilinearization Using Coupled Lower and Upper Solutions for Periodic Boundary Value Problem of an Integro Differential Equation

Chaduvula Venkata Sreedhar, J. Vasundhara Devi

Abstract

In this paper we rst develop the method of generalized quasilinearization for initial
value problem of an integro dierential equation and then use it to develop quasilinearization for the periodic boundary value problem of the integro dierential equation by using the coupled lower and upper solutions of Type-I.

Keywords

periodic boundary value problem(PBVP), integro dierential equation, coupled lower and upper solutions, existence, quasilinearization.

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