Approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps

Advances in Difference Equations

article

Anguraj, A.¹  Ravikumar, K.¹  Baleanu, Dumitru² 

[1] Department of Mathematics, PSG College of Arts and Science;Department of Mathematics, Cankaya University;Institute of Space Sciences

关键词: Approximate controllability;    Mild solutions;    Impulsive systems;    Poisson jumps;   

DOI  :  10.1186/s13662-019-2461-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

The objective of this paper is to investigate the approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps in a Hilbert space. Nonlocal initial condition is a generalization of the classical initial condition and is motivated by physical phenomena. The results are obtained by using Sadovskii’s fixed point theorem. Finally, an example is provided to illustrate the effectiveness of the obtained result.

【 授权许可】

CC BY