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