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Controllability of nonlinear stochastic systems with multiple time-varying delays in control

100%

Karthikeyan S., Balachandran K., Sathya M.

International Journal of Applied Mathematics and Computer Science

2015

tom 25

nr 2

207-215

This paper is concerned with the problem of controllability of semi-linear stochastic systems with time varying multiple delays in control in finite dimensional spaces. Sufficient conditions are established for the relative controllability of semilinear stochastic systems by using the Banach fixed point theorem. A numerical example is given to illustrate the application of the theoretical results. Some important comments are also presented on existing results for the stochastic controllability of fractional dynamical systems.

Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations

63%

Akdad A.-N., Ezzinbi K., Souden L.

Nonautonomous Dynamical Systems

2015

tom 2

nr 1

In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Nonautonomous Dynamical Systems

1 Akdad A.-N.

1 Balachandran K.

1 Ezzinbi K.

1 Karthikeyan S.

1 Sathya M.

1 Souden L.

2 2015

Wyniki wyszukiwania

Controllability of nonlinear stochastic systems with multiple time-varying delays in control

Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations