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Asymptotic behavior of the solutions of a discrete reaction-diffusion equation

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  • Rigoberto Medina
  • Sui Sun Cheng

Abstract

By means of Bihari type inequalities, we derive sufficient conditions for solutions of a discrete reaction-diffusion equation to be bounded or to converge to zero. Asymptotic representation of solutions are also derived. Our results yield estimates and explicit attractive regions for the solutions.

Suggested Citation

  • Rigoberto Medina & Sui Sun Cheng, 2002. "Asymptotic behavior of the solutions of a discrete reaction-diffusion equation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 29, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:982363
    DOI: 10.1155/S0161171202012656
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