On some generalizations of the properties of the multidimensional generalized Erdélyi-Kober operators and their applications

In this paper we investigate the composition of a multidimensional generalized Erdélyi-Kober operator with differential operators of high order. In particular, with powers of the differential Bessel operator. Applications of proved properties to solving the Cauchy problem for a multidimensional polycaloric equation with a Bessel operator are show

Boundary Value Problem with Integral Condition for the Mixed Type Equation with a Singular Coefficient

© 2020, Springer Nature Switzerland AG. We study the boundary value problem for the mixed type equation with a singular coefficient and nonlocal integral first-kind condition. We establish the uniqueness criterion and prove the solution existence and stability theorems. The solution of the problem is constructed explicitly and the proof of convergence of the series in the class of regular solutions is derived