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

Author:

Kurbatov V. G.,Kurbatova I. V.

Funder

Ministry of Education and Science of the Russian Federation

Russian Foundation for Basic Research

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference28 articles.

1. Baskakov, A.G.: Some conditions for the invertibility of linear differential and difference operators. Dokl. Akad. Nauk 333(3), 282–284 (1994). ((in Russian); English translation in Doklady Mathematics, 48(3):498–501, 1994)

2. Baskakov, A.G.: Estimates for the Green’s function and parameters of exponential dichotomy of a hyperbolic operator semigroup and linear relations. Mat. Sb. 206(8), 23–62 (2015). ((in Russian); English translation in Sb. Math., 206(8):1049–1086, 2015)

3. Behncke, H., Hinton, D., Remling, C.: The spectrum of differential operators of order $$2n$$ 2 n with almost constant coefficients. J. Differ. Equ. 175(1), 130–162 (2001)

4. Bourbaki, N.: Functions of a Real Variable: Elementary Theory. Elements of Mathematics. Springer, Berlin (2004). (Translated from the 1976 French original)

5. Burd, V.Sh., Kolesov, Ju.S., Krasnosel’skii, M.A.: Investigation of the Green’s function of differential operators with almost periodic coefficients. Izv. Akad. Nauk SSSR Ser. Mat. 33(5), 1089–1119 (1969). ((in Russian); English translation in Math. USSR-Izv., 3(5):1027–1054, 1969)

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