Some methods of solution to the Cauchy problem for a inhomogeneous equation of hyperbolic type with a Bessel operator
Sh. T. KarimovPhysical and Mathematical faculty; Fergana state university, 150100, Murabbiylar str., 19, Fergana, UzbekistanElina ShishkinaFaculty of Applied mathematics, Informatics and Mechanics; Voronezh State University, 394018, Universitetskaya pl., 1, Voronezh, Russia
ABI
Аннотация
In this paper, the transmutation method of reducing the equation with singular Bessel operator to the utt-L(u)=f (x,t) with homogeneous initial conditions is introduced. Solutions of these two differential equations are connected by the Erdélyi-Kober fractional integrodifferential operator in a suitable space. Several examples intended to illustrate the transmutation method are given.
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