Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay

We prove a theorem of existence, uniqueness and stability of solution of the implicit evolution Volterra integral equation with respect to the initial value condition on the given finite segment. Here we use the method of successive approximation in combination with the method of compressing mapping...

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Main Author:	T. K. Yuldashev
Format:	Article
Language:	English
Published:	Samara State Technical University 2009-06-01
Series:	Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:	http://mi.mathnet.ru/eng/vsgtu672

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spelling	doaj-1a2508df6df248b6a9aad675abedfd202020-11-24T21:52:01ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812009-06-012(19)384410.14498/vsgtu672Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delayT. K. YuldashevWe prove a theorem of existence, uniqueness and stability of solution of the implicit evolution Volterra integral equation with respect to the initial value condition on the given finite segment. Here we use the method of successive approximation in combination with the method of compressing mapping.http://mi.mathnet.ru/eng/vsgtu672
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	T. K. Yuldashev
spellingShingle	T. K. Yuldashev Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet	T. K. Yuldashev
author_sort	T. K. Yuldashev
title	Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay
title_short	Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay
title_full	Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay
title_fullStr	Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay
title_full_unstemmed	Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay
title_sort	nonexplicit evolution volterra integral equation of the first kind with nonlinear integral delay
publisher	Samara State Technical University
series	Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn	1991-8615 2310-7081
publishDate	2009-06-01
description	We prove a theorem of existence, uniqueness and stability of solution of the implicit evolution Volterra integral equation with respect to the initial value condition on the given finite segment. Here we use the method of successive approximation in combination with the method of compressing mapping.
url	http://mi.mathnet.ru/eng/vsgtu672
work_keys_str_mv	AT tkyuldashev nonexplicitevolutionvolterraintegralequationofthefirstkindwithnonlinearintegraldelay
_version_	1725877420531122176

Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay

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