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Meždunarodnyj naučno-issledovatel'skij žurnal, 2017, , Issue 10-3(64), Pages 112–115
DOI: https://doi.org/10.23670/IRJ.2017.64.029 (Mi irj220) 		 
This article is cited in 1 scientific paper (total in 1 paper)

PHYSICS AND MATHEMATICS

Existence and uniqueness of the Cauchy problem for a wide class of ereditary oscillators

R. I. Parovikab

a Institute of Cosmophysical Researches and Radio Wave Propagation, Far East Division, Russian Academy of Sciences
b Kamchatka State University named after Vitus Bering
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DOI: https://doi.org/10.23670/IRJ.2017.64.029
Abstract: In this paper, using the elements of the theory of functional analysis (fixed-point theorem), the existence and uniqueness of the Cauchy problem for a special class of integral and differential equations with difference kernels in the form of power functions is justified. The initial integral and differential equation with the help of derivatives of fractional order in the sense of Gerasimov-Caputo is reduced to an equation, describing a wide class of fractal oscillators or oscillators with memory.
Keywords: heredity, contraction mapping principle, existence and uniqueness of a solution, the Cauchy problem, the fractal oscillator.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation AAAA-A17-117031050058-9
Document Type: Article
Language: Russian
Citation: R. I. Parovik, “Existence and uniqueness of the Cauchy problem for a wide class of ereditary oscillators”, Meždunar. nauč.-issled. žurn., 2017, no. 10-3(64), 112–115
Citation in format AMSBIB
\Bibitem{Par17}
\by R.~I.~Parovik
\paper Existence and uniqueness of the Cauchy problem for a wide class of ereditary oscillators
\jour Me{\v z}dunar. nau{\v{c}}.-issled. {\v z}urn.
\yr 2017
\issue 10-3(64)
\pages 112--115
\mathnet{http://mi.mathnet.ru/irj220}
\crossref{https://doi.org/10.23670/IRJ.2017.64.029}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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