Structure of solutions of differential equations in a Banach space on an infinite interval

Authors

  • V. M. Gorbachuk NTU of Ukraine “Kiev Polytechnic Institute”

DOI:

https://doi.org/10.15407/dopovidi2016.02.007

Keywords:

analytic and entire vectors of a closed operator, bounded analytic semigroup, C0-semigroup of linear operators, differential equation in a Banach space, the Phragmén-Lindelöf principle

Abstract

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References

Gorbachuk V. I., Gorbachuk M. L. Boundary value problems for operator differential equations, Dordrecht: Kluwer, 1991. doi: https://doi.org/10.1007/978-94-011-3714-0

Gorbachuk M., Gorbachuk V. Math. Nachr., 2012, 285: No 14–15: 1860–1879. doi: https://doi.org/10.1002/mana.201100277

Hille E., Phillips R. S. Functional Analysis and Semi-Groups, Moscow: Izd. Inostr. Lit., 1962 (in Russian).

Yosida K. Functional Analysis, Moscow: Mir, 1967 (in Russian).

Gelfand I. M., Shilov G. E. Generalized functions, Vol.2: Spaces of Test and Generalized Functions, Moscow: Fizmatgiz, 1958 (in Russian).

Mikhailov V. P. Math. Sb., 1996, 187, No 11: 89–114 (in Russian). doi: https://doi.org/10.4213/sm173

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Published

29.09.2024

How to Cite

Gorbachuk, V. M. (2024). Structure of solutions of differential equations in a Banach space on an infinite interval . Reports of the National Academy of Sciences of Ukraine, (2), 7–12. https://doi.org/10.15407/dopovidi2016.02.007

Issue

No. 2 (2016): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

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