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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 8, Pages 1291–1303
DOI: https://doi.org/10.31857/S0044466920080049 (Mi zvmmf11111) 		 
Functional differential equations of pointwise type: bifurcation

L. A. Beklaryana, A. L. Beklaryanb

a Central Economics and Mathematics Institute, Russian Academy of Sciences, Moscow, 117418 Russia
b National Research University Higher School of Economics, Moscow, 119049 Russia
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DOI: https://doi.org/10.31857/S0044466920080049
Abstract: The importance of functional differential equations of pointwise type is determined by the fact that their solutions are used to construct traveling-wave solutions for induced infinite-dimensional ordinary differential equations, and vice versa. Solutions of such equations exhibit bifurcation. A theorem on branching bifurcation is obtained for the solution to a linear homogeneous functional differential equation of pointwise type.
Key words: functional differential equation, initial-boundary value problem, bifurcation.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00147
This work was supported by the Russian Foundation for Basic Research, project no. 19-01-00147.
Received: 15.02.2020
Revised: 15.02.2020
Accepted: 09.04.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 8, Pages 1249–1260
DOI: https://doi.org/10.1134/S0965542520080047
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: L. A. Beklaryan, A. L. Beklaryan, “Functional differential equations of pointwise type: bifurcation”, Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020), 1291–1303; Comput. Math. Math. Phys., 60:8 (2020), 1249–1260
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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