Author/Authors :
Mirzoev, S. S. Baku State University, Azerbaijan , Rustamova, L. A. Baku State University - Institute of Applied Mathematics, Azerbaijan
Title Of Article :
On an Interior Compactness of One Homogeneous Boundary Value Problem
Abstract :
In the paper the conditions are obtained providing existence and uniqueness of the regular solution of the boundary problem for class of the second order homogeneous operator-differential equation with singular coefficients. High term of the equation contains the normal operator the spectrum of which is contained in the certain sectors. Further, it is proved the theorem of internal compactness of space of regular solutions of the considered problem.
NaturalLanguageKeyword :
Normal operator , discontinuous coefficients , regular solvability , Hilbert space
JournalTitle :
Erciyes University Journal Of The Institute Of Science and Technology
