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1.
In this paper sufficient conditions for the controllability of impulsive neutral integrodifferential systems with infinite delay are established. The results are obtained by using the Schauder fixed point theorem. 相似文献
2.
In this paper we establish sufficient conditions for the approximate controllability of impulsive neutral functional evolution integrodifferential systems in Hilbert spaces. Also we study the exact controllability of the same system. The conditions are obtained by using Schauder’s fixed point theorem when the operator is compact and the Banach fixed point theorem when the operator is not compact. The results are obtained by using the evolution operators. 相似文献
3.
In this paper, we investigate the controllability for a class of abstract impulsive neutral functional differential systems with infinite delay where the linear part is non-densely defined and satisfies the Hille–Yosida condition. The approach used is the Schauder fixed point theorem combined with the operator semigroups. Particularly, the compactness of the operator semigroups is not needed in this article. 相似文献
4.
In this work, we establish a sufficient condition for the controllability of the first-order impulsive neutral functional differential inclusions with infinite delay in Banach spaces. The results are obtained by using the Dhage’s fixed point theorem. 相似文献
5.
The paper establishes a sufficient condition for the controllability of the first-order impulsive functional differential systems with infinite delay in Banach spaces. We use Schauder’s fixed point theorem combined with a strongly continuous operator semigroup. An example is given to illustrate our results. 相似文献
6.
In this work, controllability of fractional impulsive neutral evolution integrodifferential systems in a Banach space has been addressed. Sufficient conditions for the controllability are established using fractional calculus, resolvent operators and Krasnoselskii’s fixed point theorem. 相似文献
7.
K. Balachandran 《PAMM》2007,7(1):2030001-2030002
In this paper we establish sufficient conditions for the controllability of neutral functional evolution integrodifferential systems. The results are obtained by using analytic semigroup theory and the Nussbaum fixed point theorem. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
8.
Controllability of impulsive functional differential inclusions with infinite delay in Banach spaces
Yong-Kui Chang 《Journal of Applied Mathematics and Computing》2007,25(1-2):137-154
In this paper, we establish a sufficient condition for the controllability of the first-order impulsive functional differential inclusions with infinite delay in Banach spaces. The approach used is the nonlinear alternative of Leray-Schauder type for multivalued maps. An example is also given to illustrate our result. 相似文献
9.
Zhixin Tai 《Applied Mathematics Letters》2011,24(12):2158-2161
In this work the controllability of fractional impulsive neutral functional integrodifferential systems with a nonlocal Cauchy condition in a Banach space has been addressed. Sufficient conditions for the controllability are established using fractional powers of operators and the Banach contraction mapping theorem. 相似文献
10.
This paper investigates a class of second-order impulsive neutral functional integrodifferential inclusions with unbounded delay in Banach spaces. The existence of mild solutions of these inclusions is determined by using the theory of cosine families of bounded linear operators and a recent fixed point theorem for multivalued maps due to Dhage. 相似文献
11.
Controllability of impulsive neutral functional differential inclusions with infinite delay 总被引:3,自引:0,他引:3
Bing Liu 《Nonlinear Analysis: Theory, Methods & Applications》2005,60(8):1533-1552
The paper is concerned with the controllability of the first-order impulsive neutral functional differential inclusions with infinite delay in a Banach space. Sufficient conditions for controllability are obtained by using a fixed point theorem for condensing maps due to Martelli. As an application, we also consider an impulsive neutral partial functional differential equation. 相似文献
12.
This paper deals with the controllability of a class of impulsive neutral stochastic functional differential inclusions with infinite delay in an abstract space. Sufficient conditions for the controllability are derived with the help of the fixed point theorem for discontinuous multi-valued operators due to Dhage. An example is provided to illustrate the obtained theory. 相似文献
13.
In this paper we study the controllability of fractional integrodifferential systems in Banach spaces. The results are obtained by using fractional calculus, semigroup theory and the fixed point theorem. 相似文献
14.
Jong Yeoul Park Sun Hye Park Yong Han Kang 《Mathematical Methods in the Applied Sciences》2010,33(3):249-262
In this paper, we shall prove the controllability of second‐order impulsive neutral functional differential inclusions with infinite delay in Banach spaces. The results are obtained by using the theory of strongly continuous cosine families and a fixed point theorem for multi‐valued mappings. As an example, we also consider an second‐order impulsive neutral functional differential equation with infinite delay. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
15.
Meili Li Yongrui Duan Xianlong Fu Miansen Wang 《Journal of Applied Mathematics and Computing》2007,23(1-2):101-112
In this paper, by using fractional power of operators and Sadovskii fixed point theorem, we study the controllability of abstract neutral functional integrodifferential systems with infinite delay. As application, an example is provided to illustrate the obtained results. 相似文献
16.
In this paper we prove the existence of mild solutions for impulsive neutral evolution integrodifferential equations with infinite delay in Banach spaces. The results are obtained by using the analytic semigroup theory and the Krasnoselski–Schaefer type fixed point theorem. An example is provided to illustrate the theory. 相似文献
17.
In this paper, we establish a sufficient condition for the controllability of a class of semilinear integrodifferential systems
with nonlocal initial conditions in Banach spaces. Utilizing the measure of noncompactness, the Sadovskii fixed-point theorem,
and operator semigroups, a new controllability result is presented. In particular, the compactness of the operator semigroups
is dropped. 相似文献
18.
Approximate ontrollability of second order impulsive functional differential system with infinite delay in Banach spaces 下载免费PDF全文
This paper studies the approximate
controllability of second order impulsive functional differential
system with infinite delay in Banach spaces. Sufficient conditions
are formulated and proved for the approximate controllability of
such system under the assumption that the associated linear part
of system is approximately controllable. The results are obtained
by using strongly continuous cosine families of operators and the
contraction mapping principle. An example is given to illustrate the obtained theory 相似文献
19.
In this paper approximate and exact controllability for semilinear stochastic functional integrodifferential systems are established. The results are obtained by using the Banach fixed point theorem. An example is provided to illustrate the theory. 相似文献
20.
In this paper we prove the existence of mild solutions for neutral functional integrodifferential equation in a Banach space.
The results are obtained by using the Schaefer fixed-point theorem. 相似文献