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 \(x'(t)-Ax(t)=f(t)\).
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V. G. Kurbatov was supported by the Ministry of Education and Science of the Russian Federation under state order No. 3.1761.2017/4.6.
I. V. Kurbatova was supported by the Russian Foundation for Basic Research under research Project No. 16-01-00197.
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Kurbatov, V.G., Kurbatova, I.V. The Gelfand–Shilov Type Estimate for Green’s Function of the Bounded Solutions Problem. Qual. Theory Dyn. Syst. 17, 619–629 (2018). https://doi.org/10.1007/s12346-017-0262-z
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DOI: https://doi.org/10.1007/s12346-017-0262-z
Keywords
- Green’s function
- Bounded solutions problem
- Gelfand–Shilov’s estimate
- Functional calculus
- Newton’s interpolating polynomial