Controllability of Damped Second-Order Impulsive Neutral Functional Differential Systems with Infinite Delay

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. …”

“…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. Very recently, also using Sadovskii's fixed point theorem, Muthukumar and Rajivganthi (2013) proved sufficient conditions for the approximate controllability of fractional order neutral stochastic integro-differential systems with nonlocal conditions and infinite delay.…”

Controllability of Damped Second-Order Neutral Impulsive Stochastic Functional Differential Systems with Infinite Delay

“…As far as we know, there is no work reported on the controllability of damped second order stochastic functional differential systems with infinite delay in the phase space B and the objective of this paper is to fill this gap. Moreover, the present work is the stochastic extension of the work [24].…”

“…Mckibben [23] have investigated second order damped functional stochastic evolution equations in Hilbert spaces. More recently, Arthi and Balachandran [24] derived the controllability of damped second order impulsive neutral functional differential systems with infinite delay. As far as we know, there is no work reported on the controllability of damped second order stochastic functional differential systems with infinite delay in the phase space B and the objective of this paper is to fill this gap.…”

A Study of Second Order Impulsive Neutral Evolution Differential Control Systems with an Infinite Delay

“…The theory of impulsive systems provides a common frame work for mathematical modeling of many real world phenomena. Moreover, these impulsive phenomena can also be found in fields such as information science, electronics, fed-batch culture in fermentative production, robotics and telecommunications (see [1,16,5,14,12,17] and references therein).…”