Existence and Uniqueness of a Solution of Differential Equations with Constant Periodic Operator Coefficients
Ababneh Mousa Salty

Abstract
In this paper we establish a theorem that proves the existence and uniqueness of the solution of the equation L2pu(t) = f (t) under some conditions on the unbounded operator. This operator has a domain and a range belonging to Hilbert's Space. There are no general methods which may allow to establish if a periodic solution exists for some specific system of differential equations or not, and that is the reason that our problem is not trivial and has an important value in the theory of differential equation with operator periodic coefficients.

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