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This manuscript is involved with a category of second-order impulsive functional integro-differential equations with nonlocal conditions in Banach spaces. Sufficient conditions for existence and approximate controllability of mild solutions are acquired by making use of the theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem. An illustration is additionally furnished to prove the attained principles.
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참고문헌 (30)
참고문헌 신청
M. M. Arjunan / 2009 / Existence results for impulsive neutral functional differential equations with state-dependent delay / Electron. J. Qual. Theory Differ. Equ. 2009(26):13
G. Arthi / 2011 / Controllability of damped second order nonlinear impulsive systems / Nonlinear Functional Anal. Appl. 16:227~245
G. Arthi / 2012 / Controllability of second-order impulsive differential and integrodifferential evolution systems with nonlocal conditions / Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 19(6):693~715
G. Arthi / 2015 / On controllability of second-order impulsive neutral integrodifferential systems with infinite delay / IMA J. Math. Control Inform. 32(3):639~657
P. Balasubramaniam / 2010 / Approximate controllability of neutral stochastic functional differential systems with infinite delay / Stoch. Anal. Appl. 28(2):389~400
G. Arthi / 2011 / Controllability of damped second order nonlinear impulsive systems / Nonlinear Functional Anal. Appl. 16:227~245
G. Arthi / 2012 / Controllability of second-order impulsive differential and integrodifferential evolution systems with nonlocal conditions / Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 19(6):693~715
G. Arthi / 2015 / On controllability of second-order impulsive neutral integrodifferential systems with infinite delay / IMA J. Math. Control Inform. 32(3):639~657
P. Balasubramaniam / 2010 / Approximate controllability of neutral stochastic functional differential systems with infinite delay / Stoch. Anal. Appl. 28(2):389~400
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