Periodic solutions of almost linear Volterra integro-dynamic systems

Abderrahim Guerfi; Abdelouaheb Ardjouni

doi:10.26637/MJM0804/0015

Abstract

In this paper, we use Krasnoselskii's fixed point theorem to establish new results on the existence of periodic solutions for the almost linear Volterra integro-dynamic system on periodic time scales of the form
$$
\left\{\begin{array}{l}
x^{\Delta}(t)=a(t) p(x(t))+\int_{-\infty}^t C(t, s) h(y(s)) \Delta s+e(t) \\
y^{\Delta}(t)=b(t) q(y(t))+\int_{-\infty}^t D(t, s) g(x(s)) \Delta s+f(t)
\end{array}\right.
$$

Keywords:

Volterra integro-dynamic systems, time scales, Krasnoselskii’s fixed point theorem, periodic solutions

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Abderrahim Guerfi Faculty of Sciences, Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria. https://orcid.org/0000-0002-1866-5217
Abdelouaheb Ardjouni Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria. https://orcid.org/0000-0003-0216-1265

Pages: 1427-1433
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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