Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations

This paper presents conditions to assure existence, uniqueness and stability for impulsive neutral stochastic integrodifferential equations with delay driven by Rosenblatt process and Poisson jumps. The Banach fixed point theorem and the theory of resolvent operator developed by Grimmer [R.C. Grimm...

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Main Authors:	Mamadou Abdoul Diop, Amour Toffodji Gbaguidi Amoussou, Carlos Ogouyandjou, Rathinasamy Sakthivel
Format:	Article
Language:	English
Published:	Vilnius University Press 2019-06-01
Series:	Nonlinear Analysis
Subjects:	partial functional differential equations existence result resolvent operator stability Rosenblatt process Poison jumps
Online Access:	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/12968

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spelling	doaj-55c5f383ed3f4caa9e1967469826b0182020-11-25T00:41:48ZengVilnius University PressNonlinear Analysis1392-51132335-89632019-06-0124410.15388/NA.2019.4.3Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equationsMamadou Abdoul Diop0Amour Toffodji Gbaguidi Amoussou1Carlos Ogouyandjou2Rathinasamy Sakthivel3Gaston Berger UniversityUniversité d’Abomey-CalaviUniversité d'Abomey-CalaviBharathiar University This paper presents conditions to assure existence, uniqueness and stability for impulsive neutral stochastic integrodifferential equations with delay driven by Rosenblatt process and Poisson jumps. The Banach fixed point theorem and the theory of resolvent operator developed by Grimmer [R.C. Grimmer, Resolvent operators for integral equations in a Banach space, Trans. Am. Math. Soc., 273(1):333–349, 1982] are used. An example illustrates the potential benefits of these results. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/12968partial functional differential equationsexistence resultresolvent operatorstabilityRosenblatt processPoison jumps
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mamadou Abdoul Diop Amour Toffodji Gbaguidi Amoussou Carlos Ogouyandjou Rathinasamy Sakthivel
spellingShingle	Mamadou Abdoul Diop Amour Toffodji Gbaguidi Amoussou Carlos Ogouyandjou Rathinasamy Sakthivel Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations Nonlinear Analysis partial functional differential equations existence result resolvent operator stability Rosenblatt process Poison jumps
author_facet	Mamadou Abdoul Diop Amour Toffodji Gbaguidi Amoussou Carlos Ogouyandjou Rathinasamy Sakthivel
author_sort	Mamadou Abdoul Diop
title	Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations
title_short	Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations
title_full	Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations
title_fullStr	Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations
title_full_unstemmed	Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations
title_sort	asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations
publisher	Vilnius University Press
series	Nonlinear Analysis
issn	1392-5113 2335-8963
publishDate	2019-06-01
description	This paper presents conditions to assure existence, uniqueness and stability for impulsive neutral stochastic integrodifferential equations with delay driven by Rosenblatt process and Poisson jumps. The Banach fixed point theorem and the theory of resolvent operator developed by Grimmer [R.C. Grimmer, Resolvent operators for integral equations in a Banach space, Trans. Am. Math. Soc., 273(1):333–349, 1982] are used. An example illustrates the potential benefits of these results.
topic	partial functional differential equations existence result resolvent operator stability Rosenblatt process Poison jumps
url	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/12968
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Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations

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