ON THE SOLVABILITY OF SOME OPERATOR-DIFFERENTIAL EQUATIONS IN COMPLEX DOMAIN

Document Type: Research Note

Authors

Baku State University, Department of Mechanics and Mathematics, Z. Khalilov st., 23, P. O. Box Az-1148, Baku, Azerbaijan

Abstract

In the present paper an operator-differential equation of second order in complex domain is
considered when the coefficients have singularity of pole type at the point z=0. A theorem of existence of the
solution of the equation is proved and the spectral property of the solution is separately investigated when the
coefficients are spectral operators.

Keywords