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 Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 7, Pages 36–53 (Mi ivm9374)

Disjoint hypercyclic and disjoint topologically mixing properties of degenerate fractional differential equations

M. Kostića, V. E. Fedorovb

b Chelyabinsk State University, 129 Brat'ev Kashirinykh str., Chelyabinsk, 454001 Russia

Abstract: The main purpose of this paper is to analyze the classes of disjoint hypercyclic and disjoint topologically mixing abstract degenerate (multi-term) fractional differential equations in Banach and Fréchet function spaces. We focus special attention on the analysis of abstract degenerate differential equations of first and second order, when we also consider disjoint chaoticity as a linear topological dynamical property. We provide several illustrative examples and applications of our abstract results.

Keywords: disjoint hypercyclicity, disjoint topologically mixing property, abstract degenerate differential equation, fractional differential equation, Fréchet space.

 Funding Agency Grant Number Ministry of Education, Science and Technical Development of Serbia 174024 Ministry of Education and Science of the Russian Federation 02.A03.21.00111.6462.2017/Á×

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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:7, 31–46

Bibliographic databases:

Document Type: Article
UDC: 517.983

Citation: M. Kostić, V. E. Fedorov, “Disjoint hypercyclic and disjoint topologically mixing properties of degenerate fractional differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 7, 36–53; Russian Math. (Iz. VUZ), 62:7 (2018), 31–46

Citation in format AMSBIB
\Bibitem{KosFed18} \by M.~Kosti\'c, V.~E.~Fedorov \paper Disjoint hypercyclic and disjoint topologically mixing properties of degenerate fractional differential equations \jour Izv. Vyssh. Uchebn. Zaved. Mat. \yr 2018 \issue 7 \pages 36--53 \mathnet{http://mi.mathnet.ru/ivm9374} \transl \jour Russian Math. (Iz. VUZ) \yr 2018 \vol 62 \issue 7 \pages 31--46 \crossref{https://doi.org/10.3103/S1066369X18070034} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000436830400003} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85049127284} 

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This publication is cited in the following articles:
1. V. E. Fedorov, A. S. Avilovich, “A Cauchy type problem for a degenerate equation with the Riemann–Liouville derivative in the sectorial case”, Siberian Math. J., 60:2 (2019), 359–372
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