On the existence of eigenvalues of a boundary value problem with transmitting condition of the integral form for parabolic-hyperbolic equation

Abstract

In the paper, we investigate a local boundary value problem with transmitting condition of the integral form for mixed parabolic-hyperbolic equation with non-characteristic line of type changing. Two theorems on strong solvability and the existence of eigenvalues of the considered problem have been proved.

13 pages

References in corpus (1)

• Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations

Cited by in corpus (1)

• Unique solvability of a non-local problem for mixed type equation with fractional derivative