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This article is cited in 3 scientific papers (total in 3 papers)
MATHEMATICS
Generalized equations of Mathieu
R. I. Parovikab a Institute of Cosmophysical Researches and Radio Wave Propagation Far-Eastern Branch, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
b Branch of the Far Eastern Federal State University, 683 031, Petropavlovsk-Kamchatsky, Tushkanova st., 11 / 1, Russia
Abstract:
We consider non-local model of wave process, which generalizes the classical model of parametric resonance Mathieu. It is proved that this model has a unique solution.
Keywords:
Caputo-Gerasimov operator, Hille-Tamarkin formula, the integral Volterra of the second kind.
Received: 10.10.2011
Citation:
R. I. Parovik, “Generalized equations of Mathieu”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2011, no. 2(3), 12–17
Linking options:
https://www.mathnet.ru/eng/vkam86 https://www.mathnet.ru/eng/vkam/y2011/i2/p12
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Abstract page: | 177 | Full-text PDF : | 51 | References: | 69 |
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