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Some Existence Results for Systems of Impulsive Stochastic Differential Equations

Sliman Mekki

Sliman Mekki

Laboratory of Mathematics, Univ Sidi Bel AbbesSidi-Bel-Abbès, Algeria
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Mekki, Sliman
, 
Tayeb Blouhi

Tayeb Blouhi

Laboratory of Mathematics, Univ Sidi Bel AbbesSidi-Bel-Abbès, Algeria
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Blouhi, Tayeb
, 
Juan J. Nieto

Juan J. Nieto

Departamento de Análisis Matemático, Instituto de Matemáticas, Universidad de Santiago de CompostelaSpain
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Nieto, Juan J.
 and 
Abdelghani Ouahab

Abdelghani Ouahab

Laboratory of Mathematics, Univ Sidi Bel Abbes, Department of Mathematics and Informatics, The African University Ahmed Draia of AdrarSidi-Bel-Abbès,
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Ouahab, Abdelghani
  
Apr 13, 2021
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Published Online: Apr 13, 2021
Page range: 260 - 281
Received: Feb 23, 2020
Accepted: Dec 29, 2020
DOI: https://doi.org/10.2478/amsil-2020-0028
Keywords
© 2021 Sliman Mekki et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

In this paper we study a class of impulsive systems of stochastic differential equations with infinite Brownian motions. Sufficient conditions for the existence and uniqueness of solutions are established by mean of some fixed point theorems in vector Banach spaces. An example is provided to illustrate the theory.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics
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