|
This article is cited in 3 scientific papers (total in 3 papers)
Mathematics
About reversibility states of linear differential operators with periodic unbounded operator coefficients
V. B. Didenko Voronezh State University, 1, Universitetskaya pl., 394006, Voronezh, Russia
Abstract:
For investigated linear differential operator (equation) with unbounded periodic operator coefficients defined at one of the Banach space of vector functions defined on all real axis difference operator (equation) with constant operator coefficient defined at appropriate Banach space of two-side vector sequences is considered. For differential and difference operators propositions about kernel and co-image dimensions coincidence, simultaneous complementarity of kernels and images, simultaneous reversibility, spectrum interrelation are proved.
Key words:
differential operators, difference operators, reversibility states, spectrum.
Citation:
V. B. Didenko, “About reversibility states of linear differential operators with periodic unbounded operator coefficients”, Izv. Saratov Univ. Math. Mech. Inform., 14:2 (2014), 136–144
Linking options:
https://www.mathnet.ru/eng/isu496 https://www.mathnet.ru/eng/isu/v14/i2/p136
|
Statistics & downloads: |
Abstract page: | 484 | Full-text PDF : | 111 | References: | 63 |
|