The Approximations for Degenerate C0-semigroup

Abstract

The results from the theory of Sobolev type equations have been actively used to measure the dynamically distorted signals recently. The formulas obtained for relatively $p$-radial case of Sobolev type equations are used for the numerical solution of such problems. Hille-Widder-Post approximations for the operators of strongly continuous resolving semigroup for homogeneous equations are considered in the article. The authors show that a simpler formula can be used as approximations of operators of a resolving semigroup.