A class of BVPS for first order impulsive functional integro-differential equations with a parameter

This paper is concerned with a class of boundary value problems for the nonlinear impulsive functional integro-differential equations with a parameter by establishing new comparison principles and using the method of upper and lower solutions together with monotone iterative technique. Sufficient c...

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Main Authors:	Chuanming Chen, Jitai Liang, Boqian Zhen
Format:	Article
Language:	English
Published:	University of Szeged 2013-01-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Subjects:	nonlinear impulsive integro-differential equations parameter upper and lower solutions monotone iterative technique
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1815

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spelling	doaj-67bc7f9a502b4a7d927decd82b3177df2021-07-14T07:21:25ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752013-01-012013411710.14232/ejqtde.2013.1.41815A class of BVPS for first order impulsive functional integro-differential equations with a parameterChuanming Chen0Jitai Liang1Boqian Zhen2Yunnan Normal University Business School, Kunming, Yunnan, P.R. ChinaYunnan Normal University Business School, Kunming, Yunnan, P.R. ChinaYunnan Normal University Business School, Kunming, Yunnan, P.R. ChinaThis paper is concerned with a class of boundary value problems for the nonlinear impulsive functional integro-differential equations with a parameter by establishing new comparison principles and using the method of upper and lower solutions together with monotone iterative technique. Sufficient conditions are established for the existence of extremal system of solutions for the given problem. Finally, we give an example that illustrates our results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1815nonlinear impulsive integro-differential equationsparameterupper and lower solutionsmonotone iterative technique
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Chuanming Chen Jitai Liang Boqian Zhen
spellingShingle	Chuanming Chen Jitai Liang Boqian Zhen A class of BVPS for first order impulsive functional integro-differential equations with a parameter Electronic Journal of Qualitative Theory of Differential Equations nonlinear impulsive integro-differential equations parameter upper and lower solutions monotone iterative technique
author_facet	Chuanming Chen Jitai Liang Boqian Zhen
author_sort	Chuanming Chen
title	A class of BVPS for first order impulsive functional integro-differential equations with a parameter
title_short	A class of BVPS for first order impulsive functional integro-differential equations with a parameter
title_full	A class of BVPS for first order impulsive functional integro-differential equations with a parameter
title_fullStr	A class of BVPS for first order impulsive functional integro-differential equations with a parameter
title_full_unstemmed	A class of BVPS for first order impulsive functional integro-differential equations with a parameter
title_sort	class of bvps for first order impulsive functional integro-differential equations with a parameter
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2013-01-01
description	This paper is concerned with a class of boundary value problems for the nonlinear impulsive functional integro-differential equations with a parameter by establishing new comparison principles and using the method of upper and lower solutions together with monotone iterative technique. Sufficient conditions are established for the existence of extremal system of solutions for the given problem. Finally, we give an example that illustrates our results.
topic	nonlinear impulsive integro-differential equations parameter upper and lower solutions monotone iterative technique
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1815
work_keys_str_mv	AT chuanmingchen aclassofbvpsforfirstorderimpulsivefunctionalintegrodifferentialequationswithaparameter AT jitailiang aclassofbvpsforfirstorderimpulsivefunctionalintegrodifferentialequationswithaparameter AT boqianzhen aclassofbvpsforfirstorderimpulsivefunctionalintegrodifferentialequationswithaparameter AT chuanmingchen classofbvpsforfirstorderimpulsivefunctionalintegrodifferentialequationswithaparameter AT jitailiang classofbvpsforfirstorderimpulsivefunctionalintegrodifferentialequationswithaparameter AT boqianzhen classofbvpsforfirstorderimpulsivefunctionalintegrodifferentialequationswithaparameter
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A class of BVPS for first order impulsive functional integro-differential equations with a parameter

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