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Controllability of Nonlinear Neutral Evolution Equations with Nonlocal Conditions 被引量:1
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作者 刘明姬 吕悦 吕显瑞 《Northeastern Mathematical Journal》 CSCD 2007年第2期115-122,共8页
In this paper, we establish sufficient conditions for the controllability of nonlinear neutral evolution equations with nonlocal conditions. The result is obtained by using Krasnoselski-Schaefer type fixed point theorem.
关键词 nonlocal condition nonlinear neutral evolution equation mild solution Krasnoselski-Schaefer fixed point
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Existence and uniqueness of S-asymptotically periodic α-mild solutions for neutral fractional delayed evolution equation
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作者 WEI Mei LI Qiang 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2022年第2期228-245,共18页
In this paper, we investigate a class of abstract neutral fractional delayed evolution equation in the fractional power space. With the aid of the analytic semigroup theories and some fixed point theorems, we establis... In this paper, we investigate a class of abstract neutral fractional delayed evolution equation in the fractional power space. With the aid of the analytic semigroup theories and some fixed point theorems, we establish the existence and uniqueness of the S-asymptotically periodic α-mild solutions. The linear part generates a compact and exponentially stable analytic semigroup and the nonlinear parts satisfy some conditions with respect to the fractional power norm of the linear part, which greatly improve and generalize the relevant results of existing literatures. 展开更多
关键词 neutral fractional evolution equations S-asymptotically periodic problem α-mild solutions fractional power space analytic semigroup
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Approximating solutions of neutral stochastic evolution equations with jumps 被引量:1
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作者 BO LiJun SHI KeHua WANG YongJin 《Science China Mathematics》 SCIE 2009年第5期895-907,共13页
In this paper, we establish existence and uniqueness of the mild solutions to a class of neutral stochastic evolution equations driven by Poisson random measures in some Hilbert space. Moreover, we adopt the Faedo-Gal... In this paper, we establish existence and uniqueness of the mild solutions to a class of neutral stochastic evolution equations driven by Poisson random measures in some Hilbert space. Moreover, we adopt the Faedo-Galerkin scheme to approximate the solutions. 展开更多
关键词 neutral stochastic evolution equations Poisson random measures Faedo-Galerkin approximation 34A45 60H15
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EXISTENCE RESULTS FOR IMPULSIVE NEUTRAL EVOLUTION DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
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作者 Wensheng Li(Dept. of Basic Courses,Xi’an Aerotechnical College,Xi’an 710077) Yongkui Chang(Dept. of Math.,Lanzhou Jiaotong University,Lanzhou 730070) 《Annals of Differential Equations》 2011年第1期36-47,共12页
This paper is mainly concerned with the existence of mild solutions to a first order impulsive neutral evolution differential equations with state-dependent delay. By suitable fixed point theorems combined with theori... This paper is mainly concerned with the existence of mild solutions to a first order impulsive neutral evolution differential equations with state-dependent delay. By suitable fixed point theorems combined with theories of evolution systems,we prove some existence theorems. As an application,an example is also given to illustrate the obtained results. 展开更多
关键词 impulsive differential equations neutral evolution differential equations state-dependent delay evolution systems
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