Controllability of impulsive neutral integrodifferential systems with infinite delay in Banach spaces

Controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with delay and Poisson jumps

“…In addition, an application is provided to illustrate the effectiveness of the controllability results obtained. The results in our paper extend and improve the corresponding ones announced by Arthi and Balachandran (2012), Balasubramaniam and Muthukumar (2009), Muthukumar and Rajivganthi (2013), Annapoorani (2009), Park, Balachandran, andArthi (2009), Travis and Webb (1978), and some other results. …”

“…Recently, Park, Balachandran, and Arthi (2009) investigated the controllability of impulsive neutral integro-differential systems with infinite delay in Banach spaces using Schauder-type fixed point theorem. Arthi and Balachandran (2012) established the controllability of damped second-order impulsive neutral functional differential systems with infinite delay by means of the Sadovskii fixed point theorem combined with a noncompact condition on the cosine family of operators.…”

Controllability of impulsive neutral functional evolution integrodifferential systems with infinite delay

“…Balachandran et al [24,25] obtained the controllability results for neutral functional integrodifferential infinite delay systems in Banach space with the help of Nussbaum's fixed point theorem. Controllability of various kinds of nonlinear systems in Banach spaces has been studied by many authors [16,23,[26][27][28][29][30].…”

Controllability of non-densely defined impulsive neutral functional differential systems with infinite delay in Banach spaces

“…In recent years, the problem of controllability for various kinds of differential and impulsive differential systems has been extensively studied by many authors [11][12][13][14][15][16][17]9,18] using different approaches. Recently, Chang et al [4] studied the controllability of impulsive neutral functional differential systems with infinite delay in Banach spaces by using Dhage's fixed point theorem.…”

“…In all these works [11,12,14,9,18], the linear operator A is always defined densely in X and satisfies the Hille-Yosida condition so that it generates a C 0 -semigroup or analytic semigroup. However, as indicated in [19], we sometimes need to deal with non-densely defined operators.…”