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

Author(s):

A. M. Akhmedov , Y. Y. Mustafayeva

Message:
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:

Banach algebra , operator , differential equation , spectral operators , Boolean algebra

Language:
English
Published:
Iranian Journal of science and Technology (A: Siences), Volume:32 Issue: 3, Summer 2008
Pages:
215 to 219
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