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Found 102 Documents (Results 1–100)

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Spectral asymptotics of solutions of a \(2\times 2\) system of first-order ordinary differential equations. (English. Russian original) Zbl 07455577

Math. Notes 110, No. 6, 967-971 (2021); translation from Mat. Zametki 110, No. 6, 939-943 (2021).
MSC:  34B05 34B09 34L10
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Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states. (English. Russian original) Zbl 1453.81024

Theor. Math. Phys. 204, No. 2, 984-992 (2020); translation from Teor. Mat. Fiz. 204, No. 2, 171-180 (2020).
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On the asymptotic behavior of solutions to two-term differential equations with singular coefficients. (English. Russian original) Zbl 1403.34060

Math. Notes 104, No. 2, 244-252 (2018); translation from Mat. Zametki 104, No. 2, 231-242 (2018).
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Asymptotics of eigenvalues of differential operator with alternating weight function. (English. Russian original) Zbl 1403.34066

Russ. Math. 62, No. 6, 27-42 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 6, 31-47 (2018).
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Oscillation method in the spectral problem for a fourth order differential operator with a self-similar weight. (English. Russian original) Zbl 1343.34193

St. Petersbg. Math. J. 27, No. 2, 237-244 (2016); translation from Algebra Anal. 27, No. 2, 83-95 (2015).
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Asymptotics of the eigenvalues of boundary value problems for the Laplace operator in a three-dimensional domain with a thin closed tube. (English. Russian original) Zbl 1336.35267

Trans. Mosc. Math. Soc. 2015, 1-53 (2015); translation from Tr. Mosk. Mat. O.-va 76, No. 1, 1-66 (2015).
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Spectral analysis of a differential operator with involution. (Russian, English) Zbl 1349.34374

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 14, No. 4, 64-78 (2014); translation in J. Math. Sci., New York 213, No. 6, 897-909 (2016).
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On spectral properties of certain regular boundary value problems for higher-order differential operators. (English. Russian original) Zbl 1297.34024

Dokl. Math. 88, No. 3, 645-648 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 1, 131-135 (2013).
MSC:  34B05 34L10 34L20
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Asymptotic formulas for fundamental solutions of the Dirac system with complex-valued integrable potential. (English. Russian original) Zbl 1283.34078

Differ. Equ. 49, No. 5, 545-556 (2013); translation from Differ. Uravn. 49, No. 5, 573-584 (2013).
MSC:  34L40 34L10 34D05
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Periodic differential operators. (English) Zbl 1267.34001

Operator Theory: Advances and Applications 230. Basel: Birkhäuser (ISBN 978-3-0348-0527-8/hbk; 978-3-0348-0528-5/ebook). viii, 216 p. (2013).
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Existence and basis property of eigen and associated elements of linear operators. (Existence and basisness of eigen and adjoined elements of linear operators.) (English. Russian original) Zbl 1163.47012

Russ. Math. 52, No. 6, 37-48 (2008); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2008, No. 6, 43-55 (2008).
MSC:  47A70 47A10 34L10
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Spectral characteristics of a first order differential operator with perturbation depending on a differential operator of the second order. (Russian) Zbl 1140.47032

Applied mathematics and mechanics. Collection of scientific works. Ul’yanovsk: Ul’yanovskiĭ Gosudarstvennyĭ Tekhnicheskiĭ Universitet (ISBN 978-5-9795-0135-2/pbk), 201-209 (2007).
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The Hamiltonians of pseudorelativistic atoms with finite-mass nuclei: the structure of the discrete spectrum. (English. Russian original) Zbl 1070.81121

Funct. Anal. Appl. 38, No. 2, 151-156 (2004); translation from Funkts. Anal. Prilozh. 38, No. 2, 85-91 (2004).
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Marine acoustics. Direct and inverse problems. (English) Zbl 1055.35134

Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-547-4/pbk). xii, 336 p. (2004).
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Asymptotics of the spectrum of integral convolution operators on a finite interval with homogeneous polar kernels. (English. Russian original) Zbl 1068.45002

Izv. Math. 67, No. 4, 695-779 (2003); translation from Izv. Ross. Akad. Nauk Ser. Mat. 67, No. 4, 67-154 (2003).
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Discrete spectrum and Weyl’s asymptotic formula for incomplete manifolds. (English) Zbl 1024.58015

Fukaya, Kenji (ed.) et al., Minimal surfaces, geometric analysis and symplectic geometry. Based on the lectures of the workshop and conference, Johns Hopkins University, Baltimore, MD, USA, March 16-21, 1999. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 34, 219-229 (2002).
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Asymptotics of polynomials and eigenfunctions. (English) Zbl 1146.58300

Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20–28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor (ISBN 7-04-008690-5/3-vol. set). 733-742 (2002).
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Asymptotics of solutions of the Sturm-Liouville equation with respect to a parameter. (English. Russian original) Zbl 0999.34051

Ukr. Math. J. 53, No. 6, 866-885 (2001); translation from Ukr. Mat. Zh. 53, No. 6, 742-757 (2001).
MSC:  34D05 34B24
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Existence and asymptotics of poles with small imaginary part for the Helmholtz resonator. (English. Russian original) Zbl 0902.35025

Russ. Math. Surv. 52, No. 1, 1-72 (1997); translation from Usp. Mat. Nauk 52, No. 1, 3-76 (1997).
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On spectral properties of Schrödinger-type operator with complex potential. (English) Zbl 0857.35098

Gohberg, I. (ed.) et al., Recent developments in operator theory and its applications. Proceedings of the international conference, Winnipeg, Canada, October 2-6, 1994. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 87, 164-176 (1996).
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On the scattering of an \(H\)-polarized electromagnetic field by an ideal conductive cylinder with a narrow lengthwise split of finite depth. (English. Russian original) Zbl 0872.35113

J. Math. Sci., New York 83, No. 2, 204-209 (1997); translation from Zap. Nauchn. Semin. POMI 210, 65-72 (1994).
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Semiclassical eigenstates in a multidimensional well. (English) Zbl 0937.35511

Séminaire de théorie spectrale et géométrie. Année 1992-1993. Chambéry: Univ. de Savoie, Fac. des Sciences, Service de Math. Sémin. Théor. Spectrale Géom., Chambéry-Grenoble. 11, 147-155 (1993).
MSC:  35P10 35J10
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The spectral and scattering theories of differential operators and related topics. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto (Japan), January 23- 25, 1989. (Japanese) Zbl 0718.47001

RIMS Kokyuroku, 692. Kyoto: Kyoto University, Research Institute for Mathematical Sciences. ii, 175 p. (1989).
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Asymptotics of the spectral functions for second order elliptic operators on Lobachevskij spaces. (English. Russian original) Zbl 0666.35070

Mosc. Univ. Math. Bull. 43, No. 3, 73-75 (1988); translation from Vestn. Mosk. Univ., Ser. I 1988, No. 3, 73-75 (1988).
Reviewer: J.Tian
MSC:  35P10 47F05 35J15
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Dilatation and the asymptotics of the eigenvalues of spectral problems with singularities. (English. Russian original) Zbl 0628.35077

Funct. Anal. Appl. 20, 277-281 (1986); translation from Funkts. Anal. Prilozh. 20, No. 4, 29-34 (1986).
Reviewer: P.Burda
MSC:  35P20 35J25 47A70
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