Generalized equations of Mathieu
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2011), pp. 12-17
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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.
@article{VKAM_2011_2_a1,
author = {R. I. Parovik},
title = {Generalized equations of {Mathieu}},
journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
pages = {12--17},
year = {2011},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VKAM_2011_2_a1/}
}
R. I. Parovik. Generalized equations of Mathieu. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2011), pp. 12-17. http://geodesic.mathdoc.fr/item/VKAM_2011_2_a1/