Existence and Controllability Result for Nonlinear Neutral Evolution Integrodifferential Systems

Existence and Controllability Result for Nonlinear Neutral Evolution Integrodifferential Systems

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摘要 In this paper, we establish sufficient conditions for existence and controllability of nonlinear neutral evolution integroditferential systems in Banach spaces. The result is obtained by using the resolvent operators and fixed point analysis approach. In this paper, we establish sufficient conditions for existence and controllability of nonlinear neutral evolution integroditferential systems in Banach spaces. The result is obtained by using the resolvent operators and fixed point analysis approach.

作者吕悦刘明姬吕显瑞

机构地区 School of Mathematics

出处《Northeastern Mathematical Journal》 CSCD 2008年第1期54-62,共9页 东北数学（英文版）

关键词 mild solution CONTROLLABILITY resolvent operator neutral evolution integrodifferential system Banach fixed point theorem mild solution, controllability, resolvent operator, neutral evolution integrodifferential system, Banach fixed point theorem

分类号 O175.12 [理学—基础数学]

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1B. Liu.Controllability of Nonlinear Neutral Evolution Integrodifferential Systems with Infinite Delay[J].Journal of Optimization Theory and Applications.2004(1)
2X. Zhang.Exact Controllability of Semilinear Evolution Systems and Its Application[J].Journal of Optimization Theory and Applications.2000(2)
3W. Bian.Approximate Controllability for Semilinear Systems[J].Acta Mathematica Hungarica (-).1998(1-2)
4E. N. Chukwu,S. M. Lenhart.Controllability questions for nonlinear systems in abstract spaces[J].Journal of Optimization Theory and Applications.1991(3)
5Sakthivel,R,Choi,Q.H,Jung,T.Existence results for semilinear,differential equations[].JKorean MathSoc.2002
6Liu,B.Controllability of nonlinear neutral evolution integrodifferential systems with infinite delay[].Journal of Optimization Theory and Applications.2004
7Carmichel,N,Quinn,M.D.Fixed Point Methods in Nonlinear Control[].Lecture Notes in Control and InformSci.1984
8Eduardo Hern ndez M.Existence results for a class of semi-linear evolution equations[].Electronic Journal of Oncology.2001
9L. Byszewski,H. Akca.Existence of solutions of a semilinear functional differential evolution nonlocal problem[].Nonlinear Analysis.1998
10Quinn,M. D.,Carmichael,N.An Approach to Nonlinear Control Problems Using Fixed-Point Methods, Degree Theory, and Pseudo-Inverses[].Numerical Functional Analysis and Optimization –.1984–1985

1Wensheng Li(Dept. of Basic Courses,Xi’an Aerotechnical College,Xi’an 710077) Yongkui Chang(Dept. of Math.,Lanzhou Jiaotong University,Lanzhou 730070).EXISTENCE RESULTS FOR IMPULSIVE NEUTRAL EVOLUTION DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY[J].Annals of Differential Equations,2011,27(1):36-47.
2刘明姬,吕悦,吕显瑞.Controllability of Nonlinear Neutral Evolution Equations with Nonlocal Conditions[J].Northeastern Mathematical Journal,2007,23(2):115-122. 被引量：1
3Zhaoqiang Ge.Perturbation and robust controllability of singular distributed parameter control systems in Hilbert space[J].Journal of Systems Engineering and Electronics,2011,22(4):647-653. 被引量：1
4黄永忠.EXACT SEMI-INTERNAL CONTROL OF A WLAVE EQUATION WITH COEFF-ICIENT DEPENDING ON THE TIME[J].内江师范学院学报,1994,9(4):5-8.
5Yueju Cao (College of Science,Northwest A&F University,Yangling 712100,Shanxi) Xianlong Fu (Dept. of Math.,East China Normal University,Shanghai 200062).NONDENSELY DEFINED IMPULSIVE NEUTRAL FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS[J].Annals of Differential Equations,2009,25(2):127-139.
6朱海平,陈立.A Study of the Behavioral Controllability for Superposed Kuznetsov–Ma Soliton of the (3+1)-Dimensional Generalized Nonlinear Schr?dinger Equation[J].Communications in Theoretical Physics,2014,61(4):495-500.
7FENG Shaoji FENG Dexing.Exact internal controllability for shallow shells[J].Science in China(Series F),2006,49(5):566-577. 被引量：2
8周鸿兴.APPROXIMATE CONTROLLABILITY ON ABSTRACT CONTROL SYSTEM WITH A NONLINEAR DISTURBANCE[J].Chinese Science Bulletin,1985,30(3):285-288.
9Chengkang Wu~(a) and Wenxia Pan Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China.Unsteadiness in non-transferred dc arc plasma generators[J].Theoretical & Applied Mechanics Letters,2011,1(2):1-7.
10LIU KANGSHENG,YU XINHUI.EQUIVALENCE BETWEEN EXACT INTERNAL CONTROLLABILITY OF THE KIRCHHOFF PLATE-LIKE EQUATION AND THE WAVE EQUATION[J].Chinese Annals of Mathematics,Series B,2000,21(1):71-76. 被引量：1

Northeastern Mathematical Journal

2008年第1期

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Existence and Controllability Result for Nonlinear Neutral Evolution Integrodifferential Systems

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