Konan Charles Etienne Goli ; Assohoun Adjé
-
Existence of solutions for a coupled system with ∅-Laplacian operators and nonlinear coupled boundary conditions
Existence of solutions for a coupled system with ∅-Laplacian operators and nonlinear coupled boundary conditionsArticle
Authors: Konan Charles Etienne Goli ; Assohoun Adjé
NULL##NULL
Konan Charles Etienne Goli;Assohoun Adjé
We study the existence of solutions of the system submitted to nonlinear coupled boundary conditions on [0, T] where ∅1, ∅2: (-a, a) → ℝ, with 0 < a < +∞, are two increasing homeomorphisms such that ∅1(0) = ∅2(0) = 0, and fi : [0, T] × ℝ4 → ℝ, i ∈{1, 2} are two L1-Carathéodory functions. Using some new conditions and Schauder fixed point Theorem, we obtain solvability result.