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2012, Volume 18, Number 2  
| General information | Contents |


Trudy Instituta Matematiki i Mekhaniki UrO RAN


Arlen Mikhailovich Il'in (photo)
Arlen Mikhailovich Il'in. On the occasion of his 80th birsday
 5–8
On the statistical stability of input identification problems for dynamic systems
S. A. Anikin 		9–21
On a $\mathcal{PT}$-symmetric waveguide with a pair of small holes
D. I. Borisov 		22–37
Error estimate for approximations of an optimal stabilizing control in a delay system
D. S. Bykov, Yu. F. Dolgii 		38–47
On Friedrichs inequalities for a disk
R. R. Gadyl'shin, E. A. Shishkina 		48–61
Autoresonance excitation of a soliton of the nonlinear Schrödinger equation
R. N. Garifullin 		62–66
Asymptotic representation of a solution to a singular perturbation linear time-optimal problem
A. R. Danilin, O. O. Kovrizhnykh 		67–79
Difference fitting scheme for a singularly perturbed problem with turning point
K. V. Emel'yanov 		80–91
Asymptotic expansion of the Dirichlet problem with Laplace equation outside a thin disk
A. A. Ershov 		92–107
Regular asymptotics of a generalized solution of the stationary Navier–Stokes system
S. V. Zakharov 		108–113
Application of characteristic series for constructing solutions of nonlinear parabolic equations and systems with degeneracy
A. L. Kazakov 		114–122
Analysis of the Bloch equations for the nuclear magnetization model
L. A. Kalyakin 		123–140
Oscillations near a separatrix in the Duffing equation
O. M. Kiselev 		141–153
Reconstruction of boundary controls in hyperbolic systems
A. I. Korotkii, E. I. Gribanova 		154–169
On the asymptotics of a solution to an equation with a small parameter at some of the highest derivatives
E. F. Lelikova 		170–178
Special solutions of the first and second Painlevé equations and singularities of the monodromy data manifold
V. Yu. Novokshenov 		179–190
On the completeness properties of the $C$-compact-open topology on $C(X)$
A. V. Osipov 		191–198
Periodic solutions of the vibrating string equation with Neumann and Dirichlet boundary conditions and a discontinuous nonlinearity
V. N. Pavlenko, T. A. Petrash 		199–204
Partial asymptotic decomposition of the domain for the diffusion–discrete absorption
G. P. Panasenko 		205–211
Investigation of stochastic problems of mathematical physics
V. S. Parfenenkova 		212–221
Numerical methods for solving a hereditary equation of hyperbolic type
V. G. Pimenov, E. E. Tashirova 		222–231
On factorizations of subformations of one-generated hereditary $\omega$-saturated formations
V. M. Sel'kin 		232–237
On successive approximations of solutions of a singular Cauchy problem
N. A. Sidorov, D. N. Sidorov 		238–244
Asymptotics of the Gurevich–Pitaevskii universal special solution of the Korteweg–de Vries equation as $|x|\to\infty$
B. I. Suleimanov 		245–253
Stability of autoresonance models under persistent disturbances
O. A. Sultanov 		254–264
Solution of nonlinear partial differential equations by the geometric method
L. I. Rubina, O. N. Ul'yanov 		265–280
Approximation of nonsmooth solutions of a retrospective problem for an advection-diffusion model
I. A. Tsepelev 		281–290
Conditioning of a difference scheme of the solution decomposition method for a singularly perturbed convection-diffusion equation
G. I. Shishkin 		291–304
Asymptotic analysis of the diffusion-absorption equation with fast and strongly oscillating absorbtion coefficient in the two-dimensional case
A. E. El'bert 		305–311
Trudy Instituta Matematiki i Mekhaniki UrO RAN
 
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