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KADAKAL, M., MUKHTAROV, O. SH., MUHTAROV, F. S.. (1384). SOME SPECTRAL PROPERTIES OF STURM-LIOUVILLE PROBLEM WITH TRANSMISSION CONDITIONS. , 29(2), 229-245. doi: 10.22099/ijsts.2005.2799
M. KADAKAL; O. SH. MUKHTAROV; F. S. MUHTAROV. "SOME SPECTRAL PROPERTIES OF STURM-LIOUVILLE PROBLEM WITH TRANSMISSION CONDITIONS". , 29, 2, 1384, 229-245. doi: 10.22099/ijsts.2005.2799
KADAKAL, M., MUKHTAROV, O. SH., MUHTAROV, F. S.. (1384). 'SOME SPECTRAL PROPERTIES OF STURM-LIOUVILLE PROBLEM WITH TRANSMISSION CONDITIONS', , 29(2), pp. 229-245. doi: 10.22099/ijsts.2005.2799
KADAKAL, M., MUKHTAROV, O. SH., MUHTAROV, F. S.. SOME SPECTRAL PROPERTIES OF STURM-LIOUVILLE PROBLEM WITH TRANSMISSION CONDITIONS. , 1384; 29(2): 229-245. doi: 10.22099/ijsts.2005.2799

SOME SPECTRAL PROPERTIES OF STURM-LIOUVILLE PROBLEM WITH TRANSMISSION CONDITIONS

Iranian Journal of Science
مقاله 1، دوره 29، شماره 2، آذر 2005، صفحه 229-245    اصل مقاله (257.47 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2005.2799
نویسندگان
M. KADAKAL* 1؛ O. SH. MUKHTAROV2؛ F. S. MUHTAROV3
1Ondokuz Mayis University, Science and Arts Faculty, Department of Mathematics 55139 Kurupelit, Samsun, Turkey
2Gaziosmanpasa University, Science and Arts Faculty, Department of Mathematics 60000-Tokat-Turkey
3Azerbaijan Science Academy, Mathematics and Mechanic Institute, Baku-Azerbaijan
چکیده
We investigate the boundary-value problem generated by the Sturm-Liouville equation with
discontinuous coefficients, eigenparameter dependent boundary conditions and transmission conditions
at the point of discontinuity. With a different approach we introduce an adequate Hilbert space
formulation, investigate some properties of eigenvalues, Green’s function and resolvent operator, and
find simple conditions on the coefficients which guarantee the self-adjointness of the considered
problem.
کلیدواژه‌ها
Sturm-Liouville problem؛ eigenvalue؛ eigenfunction؛ Green’s function؛ resolvent operator
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