Existence of Periodic solutions of integro-differential delay equations with two variable in vector-valued function space

Rachid Bahloul (1) , Mohamed Bahaj (1) , Ilias Cherti (1) , Omar Sidki (1)

1 algèbre, analyse et applications

The aim of this work is to study the existence of a periodic solutions of neutral integro-differential partial functional differential equations with two variable: ∂ ∂x ∂ ∂y (u(x, y)−Bu(x− r, y − r)) + Au(x, y) = x −∞ y −∞ a(x − s, y − ξ)u(s, ξ)dξds + f (x, y), x, y ∈ [0, 2π]. Our approach is based on the L p-multipliers of linear operators.

Mots clés: vector-valued function space; neutral integro-differential equations; L p -multipliers

Domaines: Mathématiques [math]

Rachid Bahloul, Mohamed Bahaj, Ilias Cherti, Omar Sidki. Existence of Periodic solutions of integro-differential delay equations with two variable in vector-valued function space. 2017. ⟨hal-01548369⟩