Study of Solution as Locally Asymptotic Attractivity for Nonlinear Functional Integral Equation
Shantaram N Salunkhe
Dr. Shantaram N Salunkhe, Associate Professor and Head, Department of Mathematics, Rani Laxmibai Mahavidyalaya Parola Dist. Jalgaon, (Maharashtra), India.
Manuscript received on 03 March 2025 | First Revised Manuscript received on 25 March 2025 | Second Revised Manuscript received on 05 April 2025 | Manuscript Accepted on 15 April 2025 | Manuscript published on 30 April 2025 | PP: 50-54 | Volume-5 Issue-1, April 2025 | Retrieval Number: 100.1/ijam.B120005021025 | DOI: 10.54105/ijam.B1200.05010425
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© The Authors. Published by Lattice Science Publication (LSP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper we proved an existence result for local asymptotic attractivity of the solution for a nonlinear functional integral equation under certain condition which gives the existence as well as existence of the asymptotic stability of solutions. An example is providing for indicating the natural realizations of abstract theory presented in the paper.
Keywords: Solution of Functional Integral Equation, Fixed Point Theorem, Locally Asymptotic Attractive Solution. Subject Classifications: 47H10, 34A60.
Scope of the Article: Applied Mathematics