Quasilinearization for the boundary value problem of second-order singular differential system
Summary: We study boundary value problems for second-order singular differential equations. At first, we reduce the BVPs to initial value problems of first-order singular integrodifferential equations and then we employ the quasilinearization method in studying the IVPs and obtain two monotone iterative sequences, which converge uniformly and quadratically to the unique solution of the IVPs. Finally, we get the similar result for the given BVPs.
scientific article; zbMATH DE number 6306642