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Method of quasilinearization for a nonlocal singular boundary value problem in weighted spaces
Journal article   Open access  Peer reviewed

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

Ravi P. Agarwal, Bashir Ahmad and Ahmed Alsaedi
Boundary value problems, Vol.2013(1), pp.1-17
27/11/2013

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
url
https://doi.org/10.1186/1687-2770-2013-261View
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