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

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Nonlinear Oscillations

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.

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Authors and Affiliations

  1. Shevchenko Kyiv National University, Kyiv, Ukraine

    O. V. Kapustyan, O. V. Pereguda & J. Valero

Authors
  1. O. V. Kapustyan
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  2. O. V. Pereguda
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  3. J. Valero
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Translated from Neliniini Kolyvannya, Vol. 8, No. 2, pp. 174–185, April–June, 2005.

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Kapustyan, O.V., Pereguda, O.V. & Valero, J. Qualitative Behavior of Solutions of a Randomly Perturbed Reaction-Diffusion Equation. Nonlinear Oscill 8, 172–183 (2005). https://doi.org/10.1007/s11072-005-0047-1

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  • DOI: https://doi.org/10.1007/s11072-005-0047-1

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