Abstract
This chapter presents inhomogeneous functional and operational differential equation. It discusses the linear functional differential equation and the corresponding inhomogeneous equation. z is a solution of inhomogeneous equation if z is a solution of equation (4), z′t = A(t)zt + f(t), and to demonstrate that solutions of inhomogeneous equation have the variation of parameters. The results are then applied to give necessary and sufficient conditions for the solvability of the two point boundary value problem. Assuming a set of existence-uniqueness condition is given for the corresponding inhomogeneous equation with initial condition zb ∈ D at t = 0.
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