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Periodic Solutions of a Nonlinear Wave Equation with Nonconstant Coefficients

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Abstract

The existence of time-periodic solutions of a nonlinear equation for forced oscillations of a bounded string is proved when the d'Alembert operator has nonconstant coefficients and the nonlinear term has power-law growth.

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  1. M. V. Lomonosov Moscow State University, russia

    I. A. Rudakov

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  1. I. A. Rudakov
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Rudakov, I.A. Periodic Solutions of a Nonlinear Wave Equation with Nonconstant Coefficients. Mathematical Notes 76, 395–406 (2004). https://doi.org/10.1023/B:MATN.0000043467.04680.1d

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  • DOI: https://doi.org/10.1023/B:MATN.0000043467.04680.1d

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