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@article{CMFD_2017_63_2_a7, author = {V. A. Yurko}, title = {Spectral analysis of higher-order differential operators with discontinuity conditions at an interior point}, journal = {Contemporary Mathematics. Fundamental Directions}, pages = {362--372}, publisher = {mathdoc}, volume = {63}, number = {2}, year = {2017}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/CMFD_2017_63_2_a7/} }
TY - JOUR AU - V. A. Yurko TI - Spectral analysis of higher-order differential operators with discontinuity conditions at an interior point JO - Contemporary Mathematics. Fundamental Directions PY - 2017 SP - 362 EP - 372 VL - 63 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2017_63_2_a7/ LA - ru ID - CMFD_2017_63_2_a7 ER -
%0 Journal Article %A V. A. Yurko %T Spectral analysis of higher-order differential operators with discontinuity conditions at an interior point %J Contemporary Mathematics. Fundamental Directions %D 2017 %P 362-372 %V 63 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2017_63_2_a7/ %G ru %F CMFD_2017_63_2_a7
V. A. Yurko. Spectral analysis of higher-order differential operators with discontinuity conditions at an interior point. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 63 (2017) no. 2, pp. 362-372. http://geodesic.mathdoc.fr/item/CMFD_2017_63_2_a7/
[1] B. M. Levitan, I. S. Sargsyan, Introduction to Spectral Theory, Nauka, Moscow, 1970 (in Russian)
[2] O. N. Litvinenko, V. I. Soshnikov, Theory of Nonhomogeneous Lines and Their Applications in Radio Engineering, Sov. radio, Moscow, 1964 (in Russian)
[3] V. P. Meshchanov and A. L. Feldstein, Automatic Design of Directional Couplers, Svyaz', Moscow, 1980 (in Russian)
[4] M. A. Naimark, Linear Differential Operators, Nauka, Moscow, 1969 (in Russian) | MR
[5] V. A. Yurko, “On boundary-value problems with discontinuity conditions inside the interval”, Diff. uravn., 36:8 (2000), 1139–1140 (in Russian) | MR | Zbl
[6] Amirov R., Ozkan A., “Discontinuous Sturm–Liouville problems with eigenvalue dependent boundary conditions”, Math. Phys. Anal. Geom., 17:3–4 (2014), 483–491 | MR | Zbl
[7] Anderssen R. S., “The effect of discontinuities in density and shear velocity on the asymptotic overtone structure of torsional eigenfrequencies of the Earth”, Geophys. J. R. Astr. Soc., 50 (1997), 303–309 | DOI
[8] Beals R., Deift P., Tomei C., Direct and inverse scattering on the line, Am. Math. Soc., Providence, 1988 | MR | Zbl
[9] Freiling G., Yurko V. A., Inverse Sturm–Liouville problems and their applications, NOVA Science Publishers, New York, 2001 | MR | Zbl
[10] Hald O. H., “Discontinuous inverse eigenvalue problems”, Commun. Pure Appl. Math., 37 (1984), 539–577 | DOI | MR | Zbl
[11] Krueger R. J., “Inverse problems for nonabsorbing media with discontinuous material properties”, J. Math. Phys., 23:3 (1982), 396–404 | DOI | MR | Zbl
[12] Lapwood F. R., Usami T., Free oscillations of the Earth, Cambridge University Press, Cambridge, 1981 | Zbl
[13] Shepelsky D. G., “The inverse problem of reconstruction of the medium's conductivity in a class of discontinuous and increasing functions”, Adv. Sov. Math., 19 (1994), 209–231 | MR
[14] Yurko V. A., “Integral transforms connected with discontinuous boundary value problems”, Integral Transforms Spec. Funct., 10:2 (2000), 141–164 | DOI | MR | Zbl
[15] Yurko V. A., Method of spectral mappings in the inverse problem theory, VSP, Utrecht, 2002 | MR