This article is cited in 1 paper

The Cauchy problem for evolution equations with the Bessel operator of infinite order. II

V. V. Gorodestkii, O. V. Martynyuk

Chair of Algebra and Information Science, Chernovtsy National University, Chernovtsy, Ukraine

Abstract: We prove the correct solvability of the Cauchy problem for singular evolution equations of infinite order in classes of initial conditions that are generalized functions like ultra-distributions (analytic functionals).

Keywords: Cauchy problem, evolution equation, distribution, Bessel operator of infinite order.

UDC: 517.956

Received: 08.05.2008

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:7, 26–36

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