Random semilinear system of differential equations with state-dependent delay

Random semilinear system of differential equations with state-dependent delay

Authors

  • Ferhat MOHAMED*, Blouhi TAYEB

Keywords:

random variable, state-dependent delay, fixed point theorem, retarded functional differential equations

Abstract

In this paper we prove the existence of mild solutions for a rst-order semilin- ear dierential with state-dependent delay. The existence results are established by means of a new version of Perov's xed point principles combined with a technique based on vector-valued metrics and convergent to zero matrices.

References

reference 1 : hakem ali hakemali@yahoo.com full professor university of sidi bel abbes departement of computer sciences

refernce 2: abes benaissa benaissa_abbes@yahoo.com full professor university of sidi bel abbes faculty of exact science

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Published

2019-12-31

Issue

Vol. 3 No. 1 (2019)

Section

Articles

How to Cite

Random semilinear system of differential equations with state-dependent delay. (2019). Advances in the Theory of Nonlinear Analysis and Its Application, 3(1), 1-10. https://mail.atnaea.org/index.php/journal/article/view/67