FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 1, PAGES 295-300

**Linear differential equation with non-densely defined operator
coefficient, generating a non-analytical semigroup**

Y. T. Silchenko

Abstract

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The solvability of the Cauchy problem for the linear
differential equation with operator coefficient is established when
this coefficient is not densely defined and generates a semigroup
with a singularity.

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Last modified: May 10, 2001