On the Stabilization of a Solution of the Cauchy Problem for One Class of Integro-Differential Equations |
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Authors: | H L Kulinich S V Kushnirenko |
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Institution: | (1) Shevchenko Kyiv National University, Kyiv, Ukraine |
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Abstract: | We consider a solution of the Cauchy problem u(t, x), t > 0, x ∈ R
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.__________Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 12, pp. 1699 – 1706, December, 2004. |
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Keywords: | |
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