Persons: Glebov, Sergey Gennad'evich

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Glebov, Sergey Gennad'evich

Total publications:	25 (25)
in MathSciNet:	14 (14)
in zbMATH:	16 (16)
in Web of Science:	11 (11)
in Scopus:	9 (9)
Cited articles:	12
Citations:	67

Number of views:
This page:	625
Abstract pages:	1424
Full texts:	515
References:	212

Associate professor

Candidate of physico-mathematical sciences (1998)

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

E-mail:

Keywords:

nonlinear differential equations; asymptotics.

Subject:

Nonlinear differential equations with small parameter

Biography

Graduated from Faculty of Mathematics of Bashkir State University (BSU) in 1965 (department of differential equations). Ph.D. thesis was defended in 1998.

Main publications:

O. M. Kiselev, S. G. Glebov. Asymptotic decsription of nonlinear resonance. ArXiv: math.DS # 0105011. http://xxx.lanl.gov/abs/math/0105011.

https://www.mathnet.ru/eng/person17553

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/358153

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2018
1.	S. G. Glebov, O. M. Kiselev, N. N. Tarkhanov, Nonlinear Equations with Small Parameter, v. 2, De Gruyter Series in Nonlinear Analysis and Applications, 23/2, Waves and boundary problems, De Gruyter, Berlin, New York, 2018 (to appear) , 402 pp. www.degruyter.com/view/product/485040

2017
2.	S. G. Glebov, O. M. Kiselev, N. N. Tarkhanov, Nonlinear Equations with Small Parameter, v. 1, De Gruyter Series in Nonlinear Analysis and Applications, 23/1, Oscillations and resonances, De Gruyter, Berlin, New York, 2017 (to appear) , 361 pp. www.degruyter.com/view/product/211477

2013
3.	S. Glebov, N. Tarkhanov, System of nonlinear oscillators with dissipation. Initial interval of autoresonance, 2013 , 12 pp., arXiv: 1301.4792

2011
4.	S. Glebov, O. Kiselev, N. Tarkhanov, “Forced nonlinear resonance in a system of coupled oscillators”, Chaos, 21:2 (2011), 023109 , 7 pp.

2010
5.	S. Glebov, O. Kiselev, N. Tarkhanov, “Weakly nonlinear dispersive waves under parametric resonance perturbation”, Studies in Applied Mathematics, 124:1 (2010), 19–37	3 ^[x]
6.	S. Glebov, O. Kiselev, N. Tarkhanov, “Autoresonance in a dissipative system”, Journal Physics A: Mathematical and Theoretical, 43:21 (2010), 215203 , 16 pp.	3 ^[x]

2009
7.	O. Kiselev, S. Glebov, Autoresonant germ in dissipative system, 2009 , 6 pp., arXiv: 0902.4595
8.	S. Glebov, O. Kiselev, N. Tarkhanov, Autoresonance in a Dissipative System, 2009 , 22 pp., arXiv: 0912.0133

2008
9.	S. Glebov, O. Kiselev, N. Tarkhanov, Slow passage through parametric resonance for a weakly nonlinear dispersive wave, 2008 , 20 pp., arXiv: 0806.3338
10.	O. Kiselev, Yu. Bagderina, S. Glebov, Scattering problem for the local parametric resonance equation, 2008 , 5 pp., arXiv: 0802.2849

2007
11.	S. G. Glebov, O. M. Kiselev, V. A. Lazarev, “The autoresonance threshold in a system of weakly coupled oscillators”, Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S111–S123
12.	O. M. Kiselev, S. G. Glebov, “The capture into parametric autoresonance”, Nonlinear Dynamics, 48:1–2 (2007), 217–230	15 ^[x]

2006
13.	N. Gorbatova, O. Kiselev, S. Glebov, “Resonant excitation of nonlinear waves”, AIP Conference Proceedings, 834:1 (2006), 196–205	2 ^[x]

2005
14.	S. Glebov, O. Kiselev, “The stimulated scattering of solitons on a resonance”, Journal of Nonlinear Mathematical Physics, 12:3 (2005), 330–341	6 ^[x]
15.	S. Glebov, O. Kiselev, V. Lazarev, “Slow passage through resonance for a weakly nonlinear dispersive wave”, SIAM Journal of Applied Mathematics, 65:6 (2005), 2158–2177	10 ^[x]
16.	S. Glebov, O. Kiselev, “The slow passage through the resonances and wave packets with the different carriers”, Dynamics of Partial Differential Equations, 2:3 (2005), 261–280	1 ^[x]

2004
17.	O. M. Kiselev, S. G. Glebov, V. A. Lazarev, Resonant pumping in nonlinear Klein-Gordon equation and solitary packets of waves, 2004 , 21 pp., arXiv: math-ph/0410041
18.	O. M. Kiselev, S. G. Glebov, Scattering of solitons on resonance, 2004 , 10 pp., arXiv: math-ph/0403038

2003
19.	S. G. Glebov, O. M. Kiselev, V. A. Lazarev, “Birth of solitons during passage through local resonance”, Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S84–S90
20.	O. M. Kiselev, S. G. Glebov, “An asymptotic solution slowly crossing the separatrix near a saddle–centre bifurcation point”, Nonlinearity, 16:1 (2003), 327–362	14 ^[x]

2002
21.	S. G. Glebov, O. M. Kiselev, “Applicability of the WKB method in the perturbation problem for the equation of principal resonance”, Russian Journal of Mathematical Physics, 9:1 (2002), 60–83

2001
22.	O. M. Kiselev, G. G. Glebov, Asymptotic description of nonlinear resonance, 2001 , 48 pp., arXiv: math/0105011

1999
23.	S. G. Glebov, “Resonance layers in the interactions of rapidly oscillating wave fields”, Theoret. and Math. Phys., 118:3 (1999), 295–300

1995
24.	S. G. Glebov, “On a weakly nonlinear problem with local resonances”, Differential Equations, 31:8 (1995), 1354–1361

1994
25.	L. A. Kalyakin, S. G. Glebov, “On the solvability of nonlinear equations of Shrödinger type in the class of rapidly oscillating functions”, Math. Notes, 56:1 (1994), 673–678

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Ufa State Petroleum Technological University

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