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Periodic solutions of a quasilinear wave equation with homogeneous boundary conditions

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In this paper, we prove the existence of time-periodic weak solutions for the wave equation with homogeneous boundary conditions. This paper deals with the cases where a nonlinear term has a superlinear and sublinear growth.

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Authors and Affiliations

  1. I. G. Petrovsky Bryansk State University, Russia

    I. A. Rudakov

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  1. I. A. Rudakov
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Correspondence to I. A. Rudakov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 12, No. 5, pp. 189–201, 2005.

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Rudakov, I.A. Periodic solutions of a quasilinear wave equation with homogeneous boundary conditions. J Math Sci 150, 2588–2597 (2008). https://doi.org/10.1007/s10958-008-0157-2

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  • DOI: https://doi.org/10.1007/s10958-008-0157-2

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