Method of quasilinearization for a nonlocal singular boundary value problem in weighted spaces

摘要

This paper studies the existence and uniqueness of solutions for a nonlocal singular boundary value problem of second-order integro-differential equations in weighted spaces. The method of quasilinearization is applied to obtain monotone sequences of approximate solutions converging uniformly and quadratically to a unique solution of the problem at hand. An illustrative example is presented. MSC:34A45, 34B16, 45J05.