Abstract
Motivated by the idea which has been introduced by Boulaaras and Guefaifia (Math. Meth. Appl. Sci. 41 (2018), 5203-5210 and, by Afrouzi and Shakeri (Afr. Mat. (2015) 26: 159-168) combined with some properties of Kirchhoff type operators, we prove the existence of positive solutions for a class of nonlocal p (x)-Kirchhoff evolutionary systems by using the sub and super solutions concept.