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

  • G. L. Kulinich
  • S. V. Kushnirenko

Abstract

We consider a solution of the Cauchy problem u(t, x), t > 0, xR 2, 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 lim t→∞ u(t, x) = v(x) and represent the solution of the Cauchy problem in explicit form in terms of the coefficients of the equation.
Published
25.12.2004
How to Cite
KulinichG. L., and KushnirenkoS. V. “On the Stabilization of a Solution of the Cauchy Problem for One Class of Integro-Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 12, Dec. 2004, pp. 1699 -, https://umj.imath.kiev.ua/index.php/umj/article/view/3877.
Section
Short communications