

A. Vict. Antoniouk, O. M. Kiselev, N. N. Tarkhanov Asymptotic Solutions of the Dirichlet Problem for the Heat Equation at a Characteristic Point
Ukrainian Mathematical Journal March 2015, Volume 66, Issue 10, pp 14551474 Date: 12 Jun 2015 Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 10, pp. 1299–1317, October, 2014.
 O.M.Kiselev. Asymptotics of autoresonant soliton
Trudy Inst matem i mekh. RAN, v.21(2015), n1, p.128136.

O. Kiselev, N. Tarkhanov. The capture of a particle into resonance at potential hole with dissipative perturbation.
Chaos, Solitons & Fractals Volume 58, January 2014, Pages 27–39

O.Kiselev, N. Tarkhanov, Scattering of trajectories at a separatrix under autoresonance.
J. Math. Phys. 55, n6, 063502 (2014)
 O.M. Kiselev Autoresonant soliton and decay pumping
http://arxiv.org/abs/1301.6885
 O.M. Kiselev Threshold values of autoresonant pumping
http://arxiv.org/abs/1303.4691
 A. Antoniouk, O. Kiselev, V. A. Stepanenko, and N. Tarkhanov
Asymptotic Solutions of the Dirichlet Problem for the Heat Equation at a Characteristic Point
Prepint Institut fur Mathematik Universitat Potsdam, October 10, 2012.
 O.M. Kiselev. Oscillations near separatrix of Duffing's equation
Trudy instituta matematiki i mekhaniki, 2012, v.18, n2, p.141153.
 Oleg Kiselev, and Nikolai Tarkhanov Scattering of autoresonance trajectories upon a separatrix
Prepint Institut fur Mathematik Universitat Potsdam, November 10, 2011.
 Sergei Glebov, Oleg Kiselev, and Nikolai Tarkhanov Forced nonlinear resonance in a system of coupled oscillators
Chaos 21, 023109 (2011); doi:10.1063/1.3578047 (7 pages)
 Sergei Glebov, Oleg Kiselev, and Nikolai Tarkhanov Autoresonance in a dissipative system
J. Phys. A: Math. Theor. 43 (2010) 215203

Sergei Glebov, Oleg Kiselev, and Nikolai Tarkhanov Weakly Nonlinear Dispersive Waves under Parametric Resonance Perturbation.
Studies in Applied Mathematics, 10.1111/j.14679590.2009.00460.x

O. Kiselev, I. Shestakov Asymptotics of solutions to the Laplace–Beltrami equation on a rotation surface with a cusp.
Journal of Mathematical Analysis and Applications, Volume 362, Issue 2, 15 February 2010, Pages 393400

Sergei Glebov, Oleg Kiselev, Nikolai Tarkhanov Autoresonance in a Dissipative System.
http://arxiv.org/abs/0912.0133

O.M. Kiselev Oscillations near separatrix for perturbed Duffing equation.
http://arxiv.org/abs/0903.4523

Oleg Kiselev, Sergei Glebov Autoresonant germ in dissipative system.
http://arxiv.org/abs/0902.4595

S.G. Glebov, O.M. Kiselev, V.A. Lazarev The autoresonance threshold in a system of weakly coupled oscillators.
Proceedings of the Steklov Institute of Mathematics. Suppl. 1, 2007, S111123

S.G. Glebov, O.M. Kiselev, V.A. Lazarev The autoresonance threshold into a system of weakly coupled oscillators.
arxiv.org/abs/0707.2311

O.M. Kiselev, S.G. Glebov The capture into parametric autoresonance.
Nonlinear Dynamics, v48, n12, 2007, pp.217230

O.M. Kiselev Asymptotics of solutions of higherdimensional integrable equations and their perturbations.
Journal of Mathematical Sciences, v138, n6, 2006, pp. 60676230.

S.G. Glebov, O.M. Kiselev. Resonant excitation of waves in KDV equation.
Materialen zum wissenschaftlichen Seminar der Stipendiaten des "Michail Lomonosov" programms
2005/06. DAAD  Min.fur Bild. und Forschung der RF, Moskau, 2425 April, 2006,
pp.3841.

N.K. Gorbatova, O.M. Kiselev, S.G. Glebov. Resonant excitation of nonlinear waves.
AIP Conference Proceedings, v.834, 2006, pp.196205.

N.K. Gorbatova, O.M. Kiselev, S.G. Glebov. Finite amplitude waves under a small resonant driving force
ArXiv: nlin.PS # 0512049

O.M. Kiselev, S.G. Glebov. The capture into parametric autoresonance
ArXiv: mathph # 0511017

S.G. Glebov and O.M. Kiselev. The forced KdV equation and passage through the resonance
Preprint 2005/21 ISSN 1437739X, Institut fur Mathematik, Uni Potsdam, 2005
 S.G. Glebov, O.M. Kiselev. The slowly passage through the resonances and wave packets with the different carriers.
Dynamics of Partial Differential Equations Vol. 2, No. 3 2005, p.261. (PDFfile)
(see also ArXiv: mathph # 0503019).
 S.G. Glebov, O.M. Kiselev. The stimulated scattering of solitons on a resonance.
Journal of Nonlinear Mathematical Physics, 2005, v.12, n3, p.330341.
 S.G. Glebov, O.M. Kiselev, V.A. Lazarev. Slow passage through resonance for a weakly nonlinear dispersive wave.
SIAM Journal of Applied Mathematics, 2005, vol.65,n6, pp.21582177.
 O.M. Kiselev. Asymptotics of solutions for the multidimensional integrable equations and its perturbations.
Contemporary mathematics. Fundamental trend. 2004, v11, p.3149 (PDFfile in Russian).
 S.G. Glebov, O.M. Kiselev, V.A. Lazarev. Resonant pumping in nonlinear KleinGordon equation and solitary packets of waves.
ArXiv: mathph # 0410041.
 O.M. Kiselev, S.G. Glebov. Scattering of solitons on resonance. Asymptotics and numeric simulations.
ArXiv: nlin.PS # 0410024.
 O.M. Kiselev, S.G. Glebov. Scattering of solitons on resonance.
ArXiv: mathph # 0403038.
 O.M. Kiselev. Multidimesional nonlinear equations: asymptotics of solutions and perturbations.
Contemporary mathematics and its applications. v.5. Asymptotic methods of functional analysis, pp.109134. Publishing by Georgian Academy of Sciences, Institute of cybernetics, Tbilisi, 2003.
 S.G. Glebov, V.A. Lazarev, O.M. Kiselev. Generation of solitary
packets of waves by resonance.
Proceedings of International seminar "Day on Diffraction2003",
SPb. Russia. pp.4651
 O.M. Kiselev, S.G. Glebov. An asymptotic solution slowly crossing the separatrix
near a saddlecenter bifurcation point.
Nonlinearity, 2003, v.16, pp.327362.
 S.G. Glebov, O.M. Kiselev, V.A. Lazarev. Birth of solitons during passage through local resonance.
Proceedings of the Steklov Institute of Mathematics. Suppl., 2003, issue 1, S84S90. (PDFfile)
 O.M. Kiselev, S.G. Glebov. Asymptotic description of separatrix crossing near a saddlecenter point.
Progress in nonlinear science. Proceedings of International Conference dedicated to the 100th anniversary of A.A. Andronov.
Vol.1, Mathematical problem of nonlinear dynamics, Nizhny Novgorod, 2002, pp.269274
 R.R. Gadyl'shin, O.M. Kiselev. Perturbation of the soliton for DaveyStewartson II equation.
Matematicheskaya fizika, Analiz, Geometriya, 2002,
v.9, n2, pp.272280.
 O.M. Kiselev. KrylovBogolyubov ansatz for nonlinear nonautonomous second order equation.
Review. 22 pages (in Russian). DVIfile (196kB), PSfile (594kB)
 S.G. Glebov, O.M. Kiselev. Applicability of the WKB method in the perturbation problem for the equation of Principal resonance.
Russian J. of Math. Phys., v.9, n1, 2002, pp.6083
 O.M. Kiselev. Asymptotics of a solution of the KadomtsevPetviashvili2 equation.
Proceedings of the Steklov Institute of Mathematics. Suppl. 1, 2001, S107S139. (PDFfile)
 O.M. Kiselev, S.G. Glebov. Asymptotic decsription of nonlinear resonance.
ArXiv: math.DS # 0105011.
 O.M. Kiselev. Hard Loss of Stability in Painleve2 Equation.
Journal of Nonlinear Mathematical Physics, 2001, v.8, n1, p.6595.
 O.M. Kiselev. Dromion Perturbation for the DaveyStewartson1 Equations.
Journal of Nonlinear Mathematical Physics, 2000, v.7, n4, p.411422.
 S.G. Glebov, O.M. Kiselev. Asymptotics of a rigid generation of natural oscillations. I.
Â êí. Complex Analysis, Differential Equations and related topics. Differential Equations. I. Ufa, 2000, p.4952. (in Russian)
 O.M. Kiselev, S.G. Glebov. Asymptotics of a rigid generation of natural oscillations. II
Â êí. Complex Analysis, Differential Equations and related topics. Differential Equations. I.Ufa, 2000, p.9597. (in Russian)
 O.M. Kiselev. Perturbation of a solitary wave of the nonlinear KleinGordon equation.
Siberian Mathematical Journal, 2000, v.41, n2, p.345358.
 O.M. Kiselev. Asymptotic behaviour of a solution for KadomtsevPetviashvili2 equation.
ArXiv: mathph # 0003014.
 O.M. Kiselev. Asymptotics of soliton solution for the perturbed DaveyStewartsonI equations.
ArXiv: mathph # 9909028.
 R.R.Gadyl'shin, O.M. Kiselev. Structural instability of soliton for the DaveyStewartson II equation.
Teor. Mat. Fiz., 1999, v.118, n3, p.354361 (in Russian).
 O.M. Kiselev. Asymptotic behavior of the solution for twodimensional Dirac system with rapidly oscillating coefficients.
Matem.sb.,1999, v.190, n2, p.7192 (in Russian).
 O.M. Kiselev. Asymptotic approach for the rigid condition of appearance of the oscillations in the solution of the Painleve2 equation.
ArXiv: solvint # 9902007.
 O.M. Kiselev, B.I. Suleimanov. The solution of the Painleve equations as special functions of catastrophes, defined by a rejection in these equations of terms with derivative.
ArXiv: solvint # 9902004.
 O.M. Kiselev. The basic functions associated with a twodimensional Dirac system.
Funk. analiz i ego pril., 1998, v.32, n1, p.7276 (in Russian).
 R.R. Gadyl'shin, O.M. Kiselev. Asymptotics of perturbed soliton solution for the DaveyStewartson II equation.
ArXiv: solvint # 9801014.
 R.R. Gadyl'shin, O.M. Kiselev. On lump instability of the DaveyStewartson II equation.
ArXiv: solvint # 9804001.
 O.M. Kiselev. Perturbation theory for the Dirac equation in the twodimensional space.
Journal of Math. Phys., 1998, v.39, n4, p.23332345.
 O.M. Kiselev. Asymptotic behavior of the solution for the Cauchy problem of the DaveyStewartson I equation.
Teor. Mat. Fiz., 1998, v.114, n1, p.104114.
 O.M. Kiselev. Asymptotic behavior of the nonsoliton solution of the DaveyStewartson II equation.
Differentsialnye Uravneniya, 1997, v.33, n6, p.812819 (in Russian).
 O.M. Kiselev. The Fourier method for the linearized DaveyStewartson I equation.
In: Complex analysis, differential equations, numerical methods and applications. III. Differential equations. Ufa, 1996, p.9397 (in Russian).
(see also ArXiv: solvint # 9701014).
 O.M. Kiselev. The interaction of a kink with a breather of small amplitude in the phi^4model.
Russian Journ. of Math.Phys., 1997, v.5, n1, p.2946.
 O.M. Kiselev. The basic functions associated with a twodimensional Dirac system.
Uspehi matem. nauk, 1996, v.51, n5, p.230. (Materials of International Conference "Differential equations and related topics" dedicated to the 95th anniversary of I.G. Petrovsky)
 R.R.Gadyl'shin, O.M. Kiselev. On solitonless structure of the scattering data for perturbed twodimensional soliton solution for the DaveyStewartson II equation.
Theor. and Mathem. Phys, 1996, v.106, n2, p.200208 (in Russian).
 O.M. Kiselev. Asymptotics of the Cauchy problem solution for the semilinear hyperbolic system with the strong dispersion.
In: Asymptotics and symmetries in nonlinear dynamical systems. Ufa, 1995, p. 5270 (in Russian).
 O.M. Kiselev. Asymptotics of a multiple Cauchy integral with rapidly oscillating exponential.
Mathematical Notes, 1995, v.58, n2, p.231242.
 O.M. Kiselev. Solution of Goursat problem for the Maxwell  Bloch system.
Theor. Math. Phys., 1994, v.98, n1. p.2937.
 O.M. Kiselev. The formal solution of the Goursat problem for the SineGordon equation.
In: Integrability in dynamical systems. Ufa, 1994, p. 1726 (in Russian).
 O.M. Kiselev. Kink asymptotics of the perturbed SineGordon equation.
Theor. Math. Phys, 1992, v.93, p.11061111.
 O.M. Kiselev. On the asymptotics of the iterated Fourier type integral.
In: Asymptotic methods for the solution of the differential equations. Ufa, 1992, p.61 73 (in Russian).
 O.M. Kiselev. The formal asymptotics of the soliton solution for the SineGordon equation.
In: Asymptotic solutions of the problems of the mathematical physics. Ufa, 1990, p.5062 (in Russian).
 O.M. Kiselev. Asymptotic behavior of the Cauchy problem for the reduced MaxwellBloch system.
In: Asymptotic methods for the solutions of the mathematical physics problems. Ufa, 1989, p.7081 (in Russian).
 O.M. Kiselev. Asymptotic behavior of the Cauchy problem for the perturbed KleinFockGordon equation.
Zap. Nauch. Semin. LOMI, 1987, v.165, p.115121 (in Russian).
 