| Subject |
Local and nonlocal boundary value problems for partial differential equations |
| Title |
CHARACTERISTICAL DETERMINANT OF THE SPECRAL PROBLEM FOR ORDINARY DIFFERENTIAL OPERATOR WITH BOUNDARY LOAD |
| Author(s) |
Nurlan Imanbaev,Makhmud Sadybekov |
| Keywords |
spectral problem, operator with an integral perturbation, systems of root functions, strongly regular boundary conditions. |
| Abstract |
This direction is closely connected with the study operators with potential containing a delta function, but also has its peculiarities. Nowadays this direction is under the stage of accumulation of primary information, for which it is necessary to obtain formulas of the explicit form to compute eigenvalues and study their asymptotics. An important step in this direction is to construct explicitly or identify structure of the characteristic determinant of the spectral problem. |
