Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 191, Pages 129–134
DOI: https://doi.org/10.36535/0233-6723-2021-191-129-134
(Mi into772)
 

On the Huygens effect and points of hopelessness in the T. Puu macroeconomic model

M. V. Polovinkina, I. P. Polovinkin, S. A. Rabeeakh

Voronezh State University
References:
Abstract: We consider the macroeconomic model proposed by T. Puu, which describes fluctuations in gross income in a given region. Under a special combination of savings and investment rates, income deviations occur only for a finite period of time, after which the income returns to a stationary state. In mathematical physics, this effect is called the Huygens effect (principle). Results of the study of the model by statistical methods allow one to speak about the plausibility of the hypothesis about the presence of the Huygens effect in certain periods of the history of the Russian economy. The question on the structure of the set of stationary zeros of nontrivial solutions of a stationary equation is considered.
Keywords: income distribution model, Huygens principle, Cauchy problem, dependence domain, stationary zeros of the solution.
English version:
Journal of Mathematical Sciences (New York), 2025, Volume 288, Issue 6, Pages 794–799
DOI: https://doi.org/10.1007/s10958-025-07769-2
Document Type: Article
UDC: 517.956.326, 519.862.5
MSC: 35L81, 91B64
Language: Russian
Citation: M. V. Polovinkina, I. P. Polovinkin, S. A. Rabeeakh, “On the Huygens effect and points of hopelessness in the T. Puu macroeconomic model”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 191, VINITI, Moscow, 2021, 129–134; J. Math. Sci. (N. Y.), 288:6 (2025), 794–799
Citation in format AMSBIB
\Bibitem{PolPolRab21}
\by M.~V.~Polovinkina, I.~P.~Polovinkin, S.~A.~Rabeeakh
\paper On the Huygens effect and points of hopelessness in the T.~Puu macroeconomic model
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 191
\pages 129--134
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into772}
\crossref{https://doi.org/10.36535/0233-6723-2021-191-129-134}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2025
\vol 288
\issue 6
\pages 794--799
\crossref{https://doi.org/10.1007/s10958-025-07769-2}
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