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Ukrainian Mathematical Journal

, Volume 56, Issue 12, pp 2007–2016 | Cite as

On the Stabilization of a Solution of the Cauchy Problem for One Class of Integro-Differential Equations

  • H. L. Kulinich
  • S. V. Kushnirenko
Article
  • 23 Downloads

Abstract

We consider a solution of the Cauchy problem u(t, x), t > 0, xR2, for one class of integro-differential equations. These equations have the following specific feature: the matrix of the coefficients of higher derivatives is degenerate for all x. We establish conditions for the existence of the limit limt→∞u(t, x) = v(x) and represent the solution of the Cauchy problem in explicit form in terms of the coefficients of the equation.

Keywords

Cauchy Problem Explicit Form High Derivative 
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

  • H. L. Kulinich
    • 1
  • S. V. Kushnirenko
    • 1
  1. 1.Shevchenko Kyiv National UniversityKyivUkraine

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