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

2015, Volume 21, Number 1

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Trudy Instituta Matematiki i Mekhaniki UrO RAN


On discretization of methods for localization of singularities a noisy function
A. L. Ageev, T. V. Antonova
3
Boundary value problems for motion equations of polymeric fluids with nonlinear slip condition on solid walls
M. A. Artemov, E. S. Baranovskii
14
Finite groups in which all maximal subgroups are $\pi$-closed. I
V. A. Belonogov
25
Strongly uniform extensions of dual 2-designs
I. N. Belousov, A. A. Makhnev
35
On the problem of tracking a moving object by observers
V. I. Berdyshev
46
On an eigenvalue for the Laplace operator in a disk with Dirichlet boundary condition on a small part of the boundary in a critical case
R. R. Gadyl'shin, S. V. Repjevskij, E. A. Shishkina
56
Asymptotics of the optimal time in a time-optimal control problem with a small parameter
A. R. Danilin, O. O. Kovrizhnykh
71
Asymptotics of a solution of the second boundary value problem for the Laplace equation outside a small neighborhood of a segment
A. A. Ershov
81
Singular asymptotics in the Cauchy problem for a parabolic equation with a small parameter
S. V. Zakharov
97
On intersections of primary subgroups in the group Aut$(L_n(2))$
V. I. Zenkov
105
Stability of equilibrium with respect to a white noise
L. A. Kalyakin
112
On the existence of complements for residuals of finite groups
S. F. Kamornikov, O. L. Shemetkova
122
Asymptotics of an autoresonance soliton
O. M. Kiselev
128
Toward the $L^1$-theory of degenerate anisotropic elliptic variational inequalities
A. A. Kovalevsky
137
Properties of mappings of scalar functions to operator functions of a linear closed operator
L. F. Korkina, M. A. Rekant
153
Enumeration of ideals of exceptional nilpotent matrix algebras
V. P. Krivokolesko, V. M. Levchuk
166
Finite simple groups that are not spectrum critical
N. V. Maslova
172
Boundary-value problem for a second-order nonlinear equation with delta-like potential
F. Kh. Mukminov, T. R. Gadylshin
177
On estimates for the uniform norm of the Laplace operator of the best interpolants on a class of bounded interpolation data
S. I. Novikov
191
Characterization of the pseudovariety generated by finite monoids satisfying $\mathscr{R}=\mathscr{H}$
T. V. Pervukhina
197
The calculation of the thermal field of massive bodies moving band heat source
I. V. Pershin
205
On Lebesgue constants of local parabolic splines
E. V. Strelkova, V. T. Shevaldin
213
Stability of capture into parametric autoresonance
O. A. Sultanov
220
An approach to solving an ill-posed problem for a nonlinear differential equation
E. V. Tabarintseva
231
A two-sided error estimate for a regularizing method based on M.M. Lavrent'ev's method
V. P. Tanana, A. I. Sidikova
238
Necessary conditions for the existence of pseudovertices of the boundary set in the Dirichlet problem for the eikonal equation
A. A. Uspenskii
250
On piecewise constant approximation in distributed optimization problems
A. V. Chernov
264
Difference scheme of highest accuracy order for a singularly perturbed reaction-diffusion equation based on the solution decomposition method
G. I. Shishkin, L. P. Shishkina
280
Optimal shapes of cracks in a viscoelastic body
V. V. Shcherbakov, O. I. Krivorot'ko
294


© Steklov Math. Inst. of RAS, 2025