Abstract:
In the present paper, the stability in $\ell_p$ space for a wide class of difference schemes corresponding to the
heat conductivity equation with variable coefficients is proved. This paper is the sequel of the author's previous
works. The attraction of this methodology consists in that a prior estimations in $\ell_p$ for difference problems
are obtained in the same way as in the case of initial differential problems in $L_p$ space.
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