Almost-periodic solutions of differential-operator equations
Copyright policy )Almost-periodic solutions of differential-operator equations
In the paper is proposed a simple method which enables to obtain sufficient conditions for the existence of various classes of almost- periodic solutions of the equations of the type \(P(d/dt)u=\sum^{m}_{k=0}A_ kd^ ku/dt^ k=f,\) \(t\in {\mathbb{R}}\), where \(A_ k\in L(D,X)\) and f is an almost periodic function with values in the Banach space X. Here L(D,X) is the space of bounded linear operators from D into X, where D and X are complex Banach spaces.
fundamental solution, Almost and pseudo-almost periodic solutions to ordinary differential equations, Linear differential equations in abstract spaces, complex Banach spaces, General theory of ordinary differential operators
fundamental solution, Almost and pseudo-almost periodic solutions to ordinary differential equations, Linear differential equations in abstract spaces, complex Banach spaces, General theory of ordinary differential operators
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