Trudy Inst. Mat. i Mekh. UrO RAN, 2012, Volume 18, Number 2

JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

2012, Volume 18, Number 2

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