Voir la notice de l'article provenant de la source Math-Net.Ru
@article{ISU_2012_12_3_a3, author = {M. Sh. Burlutskaya and V. P. Kurdyumov and A. P. Khromov}, title = {Refined asymptotic formulas for eigenvalues and eigenfunctions of the {Dirac} system with nondifferentiable potential}, journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics}, pages = {22--30}, publisher = {mathdoc}, volume = {12}, number = {3}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/ISU_2012_12_3_a3/} }
TY - JOUR AU - M. Sh. Burlutskaya AU - V. P. Kurdyumov AU - A. P. Khromov TI - Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system with nondifferentiable potential JO - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics PY - 2012 SP - 22 EP - 30 VL - 12 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ISU_2012_12_3_a3/ LA - ru ID - ISU_2012_12_3_a3 ER -
%0 Journal Article %A M. Sh. Burlutskaya %A V. P. Kurdyumov %A A. P. Khromov %T Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system with nondifferentiable potential %J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics %D 2012 %P 22-30 %V 12 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ISU_2012_12_3_a3/ %G ru %F ISU_2012_12_3_a3
M. Sh. Burlutskaya; V. P. Kurdyumov; A. P. Khromov. Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system with nondifferentiable potential. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 3, pp. 22-30. http://geodesic.mathdoc.fr/item/ISU_2012_12_3_a3/
[1] Dzhakov P. V., Mityagin B. S., “Zony neustoichivosti odnomernykh periodicheskikh operatorov Shredingera i Diraka”, UMN, 61:4 (2006), 77–182 | DOI | MR | Zbl
[2] Djakov P., Mityagin B., “Bari–Markus property for Riesz projections of 1D periodic Dirac operators”, Math. Nachr., 283:3 (2010), 443–462 | DOI | MR | Zbl
[3] Baskakov A. G., Derbushev A. V., Scherbakov A. O., “Metod podobnykh operatorov v spektralnom analize nesamosopryazhennogo operatora Diraka s negladkim potentsialom”, Izv. RAN. Ser. matematicheskaya, 75:3 (2011), 3–28 | DOI | MR | Zbl
[4] Marchenko V. A., Operatory Shturma–Liuvillya i ikh prilozheniya, Nauk. dumka, Kiev, 1977, 340 pp. | MR
[5] Burlutskaya M. Sh., “Ob asimptotike resheniya odnogo differentsialnogo uravneniya pervogo poryadka s nepreryvnym potentsialom”, Sovremennye metody teorii kraevykh zadach, Materialy Voronezh. vesennei mat. shk. “Pontryaginskie chteniya KhKhI”, Izdat.-poligraf. tsentr Voronezh gos. un-ta, Voronezh, 2010, 3–9
[6] Khromov A. P., “Ob asimptotike reshenii uravneniya Diraka”, Sovremennye metody teorii funktsii i smezhnye problemy, Materialy Voronezh. zimnei mat. shk., Izd.-poligraf. tsentr Voronezh gos. un-ta, Voronezh, 2011, 346–347
[7] Khromov A. P., “Teoremy ravnoskhodimosti dlya integro-differentsialnykh i integralnykh operatorov”, Mat. sb., 114(156):3 (1981), 378–405 | MR | Zbl
[8] Gokhberg I. Ts., Krein M. G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov, Nauka, M., 1965, 445 pp.