Euler-Poisson-Darboux differential-operator equation with variable domains of smooth operators

Author: Khodos S.   Lomovtsev F.  

Publisher: MAIK Nauka/Interperiodica

ISSN: 0012-2661

Source: Differential Equations, Vol.46, Iss.8, 2010-08, pp. : 1164-1177

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Abstract

We prove the strong well-posed solvability of the Cauchy problem for a second-order singular hyperbolic differential equation with variable domain of variable unbounded operator coefficients and for the mixed problem for a complete equation of string vibrations with a strong singularity in time and with a time-dependent boundary condition.