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On the exponential growth of solutions to non-linear hyperbolic equations

Author

Listed:
  • H. Chi
  • H. Poorkarimi
  • J. Wiener
  • S. M. Shah

Abstract

Existence-uniqueness theorems are proved for continuous solutions of some classes of non-linear hyperbolic equations in bounded and unbounded regions. In case of unbounded region, certain conditions ensure that the solution cannot grow to infinity faster than exponentially.

Suggested Citation

  • H. Chi & H. Poorkarimi & J. Wiener & S. M. Shah, 1989. "On the exponential growth of solutions to non-linear hyperbolic equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 12, pages 1-7, January.
    • Handle: RePEc:hin:jijmms:256851
    DOI: 10.1155/S0161171289000670
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    Cited by:

    1. Allaberen Ashyralyev & Deniz Agirseven, 2019. "Bounded Solutions of Semilinear Time Delay Hyperbolic Differential and Difference Equations," Mathematics, MDPI, vol. 7(12), pages 1-38, December.
    2. Allaberen Ashyralyev & Sa’adu Bello Mu’azu, 2023. "Bounded Solutions of Semi-Linear Parabolic Differential Equations with Unbounded Delay Terms," Mathematics, MDPI, vol. 11(16), pages 1-14, August.

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