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The Gelfand–Shilov Type Estimate for Green’s Function of the Bounded Solutions Problem

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An analogue of the Gelfand–Shilov estimate of the matrix exponential is proved for Green’s function of the problem of bounded solutions of the ordinary differential equation $$x'(t)-Ax(t)=f(t)$$x′(t)-Ax(t)=f(t). Click to show full abstract

An analogue of the Gelfand–Shilov estimate of the matrix exponential is proved for Green’s function of the problem of bounded solutions of the ordinary differential equation $$x'(t)-Ax(t)=f(t)$$x′(t)-Ax(t)=f(t).

Keywords: bounded solutions; gelfand shilov; green function; estimate; problem

Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2017

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