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Nonlinear Oscillations

, Volume 8, Issue 2, pp 172–183 | Cite as

Qualitative Behavior of Solutions of a Randomly Perturbed Reaction-Diffusion Equation

  • O. V. Kapustyan
  • O. V. Pereguda
  • J. Valero
Article

Abstract

On the basis of the developed abstract theory of random attractors of probability dissipative systems, we investigate the qualitative behavior of solutions of a nonuniquely solvable reaction-diffusion equation perturbed by a stochastic “cadlag” process.

Keywords

Differential Equation Partial Differential Equation Ordinary Differential Equation Functional Equation Qualitative Behavior 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • O. V. Kapustyan
    • 1
  • O. V. Pereguda
    • 1
  • J. Valero
    • 1
  1. 1.Shevchenko Kyiv National UniversityKyivUkraine

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