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).
               
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