Controllability of nonlinear neutral evolution integrodifferential systems
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In this article, sufficient conditions for controllability of nonlinear neutral evolution integrodifferential systems in a Banach space are established by using the resolvent operators and the Schaefer fixed-point theorem.About:
This article is published in Journal of Mathematical Analysis and Applications.The article was published on 2002-11-01 and is currently open access. It has received 25 citations till now. The article focuses on the topics: Controllability & Resolvent.read more
Citations
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Controllability for a class of fractional neutral integro-differential equations with unbounded delay
TL;DR: A new set of sufficient conditions for the exact controllability of nonlinear fractional systems by using a fixed point analysis approach is established and extended to study the exact control concept with nonlocal conditions.
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Controllability of semilinear differential equations and inclusions via semigroup theory in banach spaces
TL;DR: In this article, the controllability of semilinear differential equations and inclusions via the semigroup theory in Banach spaces was investigated by using fixed point theorems both for single and multivalued mappings.
Journal ArticleDOI
Existence and regularity of solutions for neutral partial functional integrodifferential equations
Khalil Ezzinbi,Saifeddine Ghnimi +1 more
TL;DR: In this paper, the authors studied a class of neutral partial functional integrodifferential equations with finite delay by using the theory of resolvent operators and gave sufficient conditions ensuring the existence, uniqueness and regularity of solutions.
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On controllability of fractional impulsive neutral infinite delay evolution integrodifferential systems in Banach spaces
Zhixin Tai,Shuxian Lun +1 more
TL;DR: In this article, controllability of fractional impulsive neutral evolution integrodifferential systems in a Banach space has been addressed, using fractional calculus, resolvent operators and Krasnoselskii's fixed point theorem.
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Existence and controllability result for semilinear evolution integrodifferential systems
TL;DR: This paper obtains sufficient conditions for the existence and controllability results of nonautonomous semilinear evolution integrodifferential systems in Banach spaces by using a fixed-point analysis approach and applies these to a control system governed by distributed parameter systems.
References
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Resolvent operators for integral equations in a Banach space
TL;DR: In this paper, conditions are given which ensure the existence of a resolvent operator for an integrodifferential equation in a Banach space, which is similar to an evolution operator for nonautonomous differential equations.
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Semilinear integrodifferential equations with nonlocal Cauchy problem
Yanping Lin,James H. Liu +1 more
Journal Article
Schauder's fixed-point theorem in nonlinear controllability problems
TL;DR: In this paper, Schauder's fixed point theorem together with linear control ability results are used to obtain sufficient controllability conditions for different types of non-linea.r control systems.
Journal ArticleDOI
Controllability of integrodifferential systems in Banach spaces
TL;DR: Sufficient conditions for controllability of integrodifferential systems in a Banach space are established by using the Schaefer fixed-point theorem.