Étude de certaines équations elliptiques à argument dévié

The elliptic equations with deviated arguments appear in some models of population such as in biology, etc. as indicated in the books [4] and [5] and the works of Levin [3], Skellam [6]. In this paper, we establish some results of existence and uniqueness for some non-local equations called elliptic equations with deviated argument. Firstly, we handle linear and nonlinear cases. Therefore, we hope to complete some results obtained by Chipot and Mardare [2].