On existence of extremal integrable solutions and integral inequalities for nonlinear Volterra type integral equations
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DOI:
https://doi.org/10.26637/mjm1203/002Abstract
We prove the existence of maximal and minimal integrable solutions of nonlinear Volterra type integral equations. Two basic integral inequalities are obtained in the form of extremal integrable solutions which are further exploited for proving the boundedness and uniqueness of the integrable solutions of the considered integral equation.
Keywords:
Volterra integral equation; Tarski fixed point principle; Extremal integrable solutions; integral inequalities.Mathematics Subject Classification:
47H10, 35A35- Pages: 245-252
- Date Published: 01-07-2024
- Vol. 12 No. 03 (2024): Malaya Journal of Matematik (MJM)
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Copyright (c) 2024 Bapurao Dhage, Janhavi Dhage, Shyam Dhage
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