Periodic solutions of differential equations with three variable in vector-valued space

Bahloul Rachid (1) , Bahaj Mohamed , Sidki Omar

1 algèbre, analyse et applications

The aim of this work is to study the existence and uniqueness of a periodic solutions of differential partial functional differential equations with three variable: ∂ ∂x ∂ ∂y ∂ ∂y u(x, y, w) + Au(x, y, w) = f (x, y, w); x, y, w ∈ [0, 2π]. Our approach is based on the L p-multipliers of linear operators.

Mots clés: Differential equations; L p -multipliers; vector-valued function space

Domaines: Théorie spectrale [math.SP]; Analyse fonctionnelle [math.FA]; Systèmes dynamiques [math.DS]

Bahloul Rachid, Bahaj Mohamed, Sidki Omar. Periodic solutions of differential equations with three variable in vector-valued space. 2017. ⟨hal-01635197⟩