Asian Journal of Mathematics and Computer Research

PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH TWO VARIABLE IN VECTOR-VALUED FUNCTION SPACE

BAHLOUL RACHID *

Department of Mathematics, Faculty of Sciences and Technology, Fez, Morocco.

*Author to whom correspondence should be addressed.

---

Abstract

The aim of this work is to study the existence of a periodic solutions of differential equations: ∂/∂x ∂/∂t u(x,t) + Au (x,t) = f(x,t), x,t ∈ ℝ. Our approach is based on the L^p-multipliers of linear operators.

Keywords: Periodic differential equations, Lp-multipliers, vector-valued function space

---

---