Neutral Stochastic Functional Differential Equations with Infinite Delay under state space C_r: existence and uniqueness

Authors

  • Hussein K. Asker Department of Mathematics, College of Science, Swansea University, Swansea, UK.
  • Hussein K. Asker Department of Mathematics, Faculty of Computer Science and Mathematics, Kufa University, Al-Najaf, Iraq.
  • Mohammed S. Kadhim Department of Mathematics, College of Science, Basra University, Basra, IQ.

DOI:

https://doi.org/10.29304/jqcm.2019.11.4.618

Keywords:

Neutral stochastic functional differential equations,, Infinite delay,, Existence and uniqueness of solutions,, State space C_r.

Abstract

In this paper, we studied the neutral stochastic functional differential equations with infinite delay (NSFDEwID for short).The existence and uniqueness of solutions to NSFDEwID at the state space  have been addressed under the local Lipschitz condition and and Linear growth condition and we introduced a prove of lemma 3.4 because of it is presented in many articles without prove.  

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Published

2019-09-20

How to Cite

Asker, H. K., Asker, H. K., & Kadhim, M. S. (2019). Neutral Stochastic Functional Differential Equations with Infinite Delay under state space C_r: existence and uniqueness. Journal of Al-Qadisiyah for Computer Science and Mathematics, 11(4), Stat Page 21–29. https://doi.org/10.29304/jqcm.2019.11.4.618

Issue

Vol. 11 No. 4 (2019): JQCM

Section

Statistic Articles