Controllability results for a nonlocal impulsive neutral stochastic functional integro-differential equations with delay and Poisson jumps

Authors

  • M. Diop Gaston University
  • A. Mane Gaston Berger University
  • Kora BETE Institut de Math ?ematique et de Sciences Physiques, URMPM,01, B.P 613, Porto-Novo, Benin.
  • Carlos OGOUYANDJOU Institut de Math ?ematique et de Sciences Physiques, URMPM,01, B.P 613, Porto-Novo, Benin.

Abstract

The current paper is concerned with the controllability of impulsive neutral stochastic delay partial functional integro-differential equations with Poisson jumps in Hilbert spaces. Suffi- cient conditions are established using the theory of resolvent operators developed by Grim- mer [Resolvent operators for integral equations in Banach spaces, Trans. Amer. Math. Soc., 273(1982):333-349] combined with a fixed point approach for achieving the required result. An example is presented to illustrate the application of the obtained results.

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Published

2018-03-31

How to Cite

Diop, M., Mane, A., BETE, K., & OGOUYANDJOU, C. (2018). Controllability results for a nonlocal impulsive neutral stochastic functional integro-differential equations with delay and Poisson jumps. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 9(1), 67-83. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/480

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Section

Research Article