Approximation results for  PBVPs of nonlinear  first order ordinary functional differential  equations in a closed subset  of the Banach space:

Janhavi Dhage; Shyam Dhage; Bapurao Dhage

doi:10.26637/mjm11S/012

Abstract

In this paper we prove the approximation results for existence and uniqueness of the solution of PBVPs of nonlinear first order ordinary functional differential equations in a closed subset of the Banach space. We employ the Dhage monotone iteration method based on a recent hybrid fixed point theorem of Dhage (2022) and Dhage et al. (2022) for the main results of this paper. Finally an example is indicated to illustrate the abstract ideas involed in the approximation results.

Keywords:

Integrodifferential equation, Hybrid fixed point principle, Dhage Monotone iteration method, Approximation theorem, Ulam-Hyers stability

Mathematics Subject Classification:

34A12, 34A34

Authors Imprint References Funding Related Articles Downloads

Janhavi B. Dhage Kasubai, Gurukul Colony, Thodga Road, Ahmedpur-413515, Dist. Latur, Maharashtra, India https://orcid.org/0009-0001-7394-1229
Shyam Dhage Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India. https://orcid.org/0000-0003-4605-5421
Bapurao Dhage ``Kasubai", Gurukul Colony, Thodga Road, Ahmedpur-413 515, Dist. Latur, Maharashtra, India https://orcid.org/0000-0002-2353-8618

Pages: 197-207
Date Published: 01-10-2023
Vol. 11 No. S (2023): Malaya Journal of Matematik (MJM): Special Issue Dedicated to Professor Gaston M. N'Guérékata’s 70th Birthday

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