Existence and uniqueness results for the first-order non-linear impulsive integro-differential equations with two-point boundary conditions
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Published:2021-06-30
Issue:2
Volume:102
Page:74-83
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ISSN:2518-7929
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Container-title:BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
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language:
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Short-container-title:Bul. Kar. Univ. - Math.
Author:
Mardanov M.J., ,Mammadov R.S.,Gasimov S.Yu.,Sharifov Ya.A., , , , ,
Abstract
The article discusses the existence and uniqueness of solutions for a system of nonlinear integro-differential equations of the first order with two-point boundary conditions. The Green function is constructed, and the problem under consideration is reduced to equivalent integral equation. Existence and uniqueness of a solution to this problem is analyzed using the Banach contraction mapping principle. Schaefer’s fixed point theorem is used to prove the existence of solutions.
Publisher
Karagandy University of the name of academician E.A. Buketov
Subject
General Engineering
Cited by
1 articles.
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