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This article is cited in 10 scientific papers (total in 10 papers)
Periodic solutions of a quasilinear wave equation with
variable coefficients
I. A. Rudakov I. G. Petrovsky Bryansk State University
Abstract:
The existence of time-periodic solutions of the quasilinear
equation describing the vibrations of an inhomogeneous string with
homogeneous boundary
conditions of the 3rd kind is proved. The non-linear
term in the equation satisfies the non-resonance condition or
has power-like growth.
Bibliography: 16 titles.
Received: 01.02.2006
Citation:
I. A. Rudakov, “Periodic solutions of a quasilinear wave equation with
variable coefficients”, Mat. Sb., 198:7 (2007), 91–108; Sb. Math., 198:7 (2007), 993–1009
Linking options:
https://www.mathnet.ru/eng/sm1525https://doi.org/10.1070/SM2007v198n07ABEH003870 https://www.mathnet.ru/eng/sm/v198/i7/p91
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Abstract page: | 446 | Russian version PDF: | 217 | English version PDF: | 9 | References: | 63 | First page: | 4 |
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