共查询到20条相似文献,搜索用时 15 毫秒
1.
Existence results for fractional order functional differential equations with infinite delay 总被引:1,自引:0,他引:1
The Banach fixed point theorem and the nonlinear alternative of Leray-Schauder type are used to investigate the existence of solutions for fractional order functional and neutral functional differential equations with infinite delay. 相似文献
2.
In this paper, the existence of solution on a compact interval to second order impulsive functional differential inclusions is investigated. Several new results are obtained by using suitable fixed point theorem. 相似文献
3.
Some results on the existence and uniqueness of mild solution for a system of semilinear impulsive differential equations with infinite fractional Brownian motions are proved. The approach is based on Perov's fixed point theorem and a new version of Schaefer's fixed point theorem in generalized Banach spaces. The relationship between mild and weak solutions and the exponential stability of mild solutions are investigated as well. The abstract theory is illustrated with an example. 相似文献
4.
《Nonlinear Analysis: Hybrid Systems》2008,2(1):209-218
In this work, we prove the existence of mild solutions for impulsive partial neutral functional differential equations with infinite delay in a Banach space. The results are obtained by using the Krasnoselski–Schaefer type fixed point theorem. 相似文献
5.
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
6.
G.M. Mophou 《Applied mathematics and computation》2010,216(1):61-69
We deal in this paper with the mild solution for fractional semilinear differential equations with infinite delay: with T>0 and 0<α<1. We prove the existence (and uniqueness) of solutions, assuming that A generates an α-resolvent family (Sα(t))t?0 on a complex Banach space X by means of classical fixed points methods. 相似文献
7.
In this article, we investigate the existence and asymptotic stability in p-th moment of a mild solution to a class of neutral stochastic integro-differential equation of fractional order involving non-instantaneous impulses with infinite delay in a Hilbert space. A new set of sufficient conditions proving existence and asymptotic stability of mild solution is derived by utilizing solution operator, functional analysis, stochastic analysis and fixed point technique. Finally, an example is provided to illustrate the obtained abstract result. 相似文献
8.
Jung-Chan Chang 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(10):3204-3217
This study intends to investigate a class of quasi-linear partial neutral functional differential equations with infinite delay. We assume that the linear part generates an analytic compact semigroup and the nonlinear part satisfies certain conditions. A sufficient condition is given to ensure the existence of mild and classical solutions. Finally, an example is given to illustrate our abstract results. 相似文献
9.
Meili Li 《Nonlinear Analysis: Hybrid Systems》2011,5(3):502-512
In this paper, we study a class of impulsive neutral functional differential equations with infinite delay. We suppose that the linear part is not necessarily densely defined but satisfies the resolvent estimates of the Hille–Yosida theorem. We give some sufficient conditions ensuring the existence of integral solutions and strict solutions. To illustrate our abstract results, we conclude this work with an example. 相似文献
10.
Hernán R. Henríquez 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(10):3333-3352
In this paper the existence of solutions of a non-autonomous abstract retarded functional differential equation of second order with infinite delay is considered. Assuming the existence of an evolution operator corresponding to the associate abstract Cauchy problem of second order, we establish the existence of mild solutions of the functional equation. Furthermore, we study the existence of classical solutions of the abstract Cauchy problem of second order and we apply these results to establish the existence of classical solutions of the functional equation. Finally, we apply our results to study the existence of solutions of the non-autonomous wave equation with delay. 相似文献
11.
In this paper, we discuss local and global existence and uniqueness results for first order impulsive functional differential equations with multiple delay. We shall rely on a nonlinear alternative of Leray–Schauder. For the global existence and uniqueness we apply a recent nonlinear alternative of Leray–Schauder type in Fréchet spaces, due to M. Frigon and A. Granas [Résultats de type Leray–Schauder pour des contractions sur des espaces de Fréchet, Ann. Sci. Math. Québec 22 (2) (1998) 161–168]. The goal of this paper is to extend the problems considered by A. Ouahab [Local and global existence and uniqueness results for impulsive differential equations with multiple delay, J. Math. Anal. Appl. 323 (2006) 456–472]. 相似文献
12.
通过构造算子利用Krasnoselskii不动点定理和线性系统的指数二分性讨论了一类具有无穷时滞非线性中立型高维周期微分系统的周期解存在性问题.得到保证系统存在周期解的新的充分条件. 相似文献
13.
Lijing Chen 《Journal of Mathematical Analysis and Applications》2006,323(1):708-720
This paper discusses a kind of linear boundary value problem for a nonlinear second order impulsive functional differential equations. We establish several existence results by using the lower and upper solutions and monotone iterative techniques. An example is discussed to illustrate the efficiency of the obtained result. 相似文献
14.
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
15.
Pseudo almost periodic in distribution solutions and optimal solutions to impulsive partial stochastic differential equations with infinite delay 下载免费PDF全文
In this paper, we study a general class of impulsive partial stochastic differential equations with infinite delay and pseudo almost periodic coefficients in Hilbert spaces. Firstly, a more appropriate concept of pseudo almost periodic in distribution for stochastic processes of infinite class is introduced. Secondly, the existence of pseudo almost periodic in distribution mild solutions is investigated by utilizing the interpolation theory, the stochastic analysis techniques and fixed point theorem. The existence of optimal mild solutions of the systems is also proved. Finally, an example is provided to show the effectiveness of the theoretical results. 相似文献
16.
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
17.
Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay 下载免费PDF全文
Ahmed Boudaoui Tomás Caraballo Abdelghani Ouahab 《Mathematical Methods in the Applied Sciences》2016,39(6):1435-1451
In this paper, we prove the existence of mild solutions for a first‐order impulsive semilinear stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay. We consider the cases in which the right hand side is convex or nonconvex valued. The results are obtained by using two different fixed point theorems for multivalued mappings. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
18.
Abdelhai Elazzouzi 《Journal of Mathematical Analysis and Applications》2007,329(1):498-514
In this work we study the existence of periodic solutions for some partial functional differential equation with infinite delay. We assume that the linear part is not necessarily densely defined and satisfies the known Hille-Yosida condition. Firstly, we give some estimates of the solutions. Secondly, we prove that the Poincaré map is condensing which allows us to prove the existence of periodic solutions when the solutions are ultimately bounded. 相似文献
19.
20.
Antonín Slavík 《Mathematische Nachrichten》2014,287(11-12):1363-1382
We use the theory of generalized linear ordinary differential equations in Banach spaces to study linear measure functional differential equations with infinite delay. We obtain new results concerning the existence, uniqueness, and continuous dependence of solutions. Even for equations with a finite delay, our results are stronger than the existing ones. Finally, we present an application to functional differential equations with impulses. 相似文献