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Existence of positive solutions of a new class of nonlocal p(x)-Kirchhoff parabolic systems via sub-super-solutions concept

Zediri Sounia, Guefaifia Rafik, Boulaaras Salah

Journal of Applied Analysis

2020

Vol. 26, nr 1

49--58

Motivated by the idea which has been introduced by Boulaaras and Guefaifia [S. Boulaaras and R. Guefaifia, Existence of positiveweak solutions for a class of Kirchhoff elliptic systems with multiple parameters, Math. Methods Appl. Sci. 41 (2018), no. 13, 5203-5210] and by Afrouzi and Shakeri [G. A. Afrouzi, S. Shakeri and N. T. Chung, Existence of positive solutions for variable exponent elliptic systems with multiple parameters, Afr. Mat. 26 (2015), no. 1-2, 159-168] combined with some properties of Kirchhoff-type operators, we prove the existence of positive solutions for a new class of nonlocal p(x)-Kirchhoff parabolic systems by using the sub- and super-solutions concept.

On the solutions of a class of difference equations systems

Elabbasy E., El-Metwally H., Elsayed E.

Demonstratio Mathematica

2008

Vol. 41, nr 1

109-122

In this paper we discuses the periodic solutions of particular cases of the following general system of difference equations [...]. The results obtained are new and contained as special cases some other results.