Existence and controllability results for second-order impulsive stochastic evolution systems with state-dependent delay

Existence and controllability results for second-order impulsive stochastic evolution systems with state-dependent delay

In this paper, we discuss a kind of impulsive second-order stochastic evolution systems with state-dependent delay in a real separable Hilbert space. The results concerning the existence and controllability of mild solutions have been addressed. By means of the fixed point techniques, some sufficien...

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Veröffentlicht in:Applied mathematics and computation 2014-12, Vol.248, p.328-341
Hauptverfasser: Arthi, G., Park, Ju H., Jung, H.Y.
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Controllability
Delay
Evolution
Existence
Fixed point theorem
Impulses
Impulsive stochastic evolution system
Mathematical models
Partial differential equations
State-dependent delay
Stochasticity
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Zusammenfassung:In this paper, we discuss a kind of impulsive second-order stochastic evolution systems with state-dependent delay in a real separable Hilbert space. The results concerning the existence and controllability of mild solutions have been addressed. By means of the fixed point techniques, some sufficient conditions are formulated, as well as an application involving partial differential equation with impulses is presented.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.09.084