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On classical almost-periodic solutions of nonlinear hyperbolic equations

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References

  1. G. Prouse, “Soluzioni quasi-periodiche dell'equazione non omogenea delle onde, con termine dissipativo non lineare. I-IV,” Atti Accad. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8),38, No. 6, 804–807;39, No. 1–2, 11–18;39, No. 3–4, 155–160,39, No. 5, 240–244 (1965).

    Google Scholar 

  2. L. Amerio and G. Prouse, Almost-Periodic Functions and Functional Equations, Van Nostrand, New York (1971).

    Google Scholar 

  3. M. Biroli and A. Haraux, “Asymptotic behavior for an almost periodic, strongly dissipative wave equation,” J. Differential Equations,38, No. 3, 422–440 (1980).

    Google Scholar 

  4. A. Haraux, “Semilinear hyperbolic problems in bounded domains,” Math. Reports,3, Part 1, Harwood Academic Publishers, Gordon and Breach, New York (1987).

    Google Scholar 

  5. A. Haraux, “Nonresonance for a strongly dissipative wave equation in higher dimensions,” Manuscripta Math.,53, No. 1–2, 145–166 (1985).

    Google Scholar 

  6. M. Nakao, “Bounded, periodic or almost-periodic solutions of nonlinear hyperbolic partial differential equations,” J. Differential Equations,23, No. 3, 368–386 (1977).

    Google Scholar 

  7. M. Nakao, “Bounded, periodic and almost periodic classical solutions of some nonlinear wave equations with a dissipative term,” J. Math. Soc. Japan,30, No. 3, 375–394 (1978).

    Google Scholar 

  8. P. Marcati, “Almost-periodic solutions for a semilinear quasi-autonomous hyperbolic problem,” Nonlinear Anal.,10, No. 10, 1053–1067 (1986).

    Google Scholar 

  9. B. M. Levitan and V. V. Zhikov, Almost Periodic Functions and Differential Equations, Cambridge Univ. Press, Cambridge (1982).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 54, No. 6, pp. 146–148, December, 1993.

The author is grateful to M. I. Vishik for the formulation of the problem and for his interest in the paper.

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Shirikyan, A.R. On classical almost-periodic solutions of nonlinear hyperbolic equations. Math Notes 54, 1288–1290 (1993). https://doi.org/10.1007/BF01209094

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