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

2003, Volume 9, Number 1

| General information | Contents |


Asymptotic expansions, approximation theory, topology


Arlen Mikhailovich Il'in (on the occasion of the 70th anniversary)
V. M. Babich, L. A. Kalyakin, M. D. Ramazanov, N. Kh. Rozov
3
Asymptotics of solution for a problem of convective diffusion with volume reaction near a spherical drop
R. G. Akhmetov
10
Asymptotic solutions of the Schrödinger equation in thin tubes
V. V. Belov, S. Yu. Dobrokhotov, S. O. Sinitsyn
15
Navigation by means of the field of altitudes and its fragment
V. I. Berdyshev
26
Singularly perturbed parabolic problem in the case of intersecting roots of the degenerate equation
V. F. Butuzov, E. A. Gromova
38
Investigation of alternating contrast structures
A. B. Vasil'eva
45
On domains with a narrow isthmus in the critical case
R. R. Gadyl'shin
50
Asymptotic analysis of a subharmonic autoresonance model
R. N. Garifullin
56
Birth of solitons during passage through local resonance
S. G. Glebov, O. M. Kiselev, V. A. Lazarev
64
Approximation of a singularly perturbed elliptic optimal control problem with geometric constraints on the control
A. R. Danilin
71
Dispersion-managed solitons in the limit of large energy
H. Kalisch, Dmitry Pelinovsky
79
Justification of asymptotic expansions for the principal resonance equations
L. A. Kalyakin
88
Asymptotic solutions for Hartree equations and logarithmic obstructions for higher corrections of semiclassical approximation
M. V. Karasev, A. V. Pereskokov
102
On the asymptotics of a solution of a second order elliptic equation with small parameter at a higher derivative
E. F. Lelikova
107
Delay of exchange of stabilities in singularly perturbed parabolic problems
N. N. Nefedov, K. R. Schneider
121
Different kinds of closedness in $S(n)$-spaces
A. V. Osipov
131
Method of asymptotic partial decomposition of domain and partial homogenization
G. Panasenko
137
Asymptotics of solutions of a perturbed problem on decay of a discontinuity
I. O. Rasskazov
143
On the dynamic unfolding of a saddle-center bifurcation and the change in the action
R. Haberman, D. C. Diminnie
159
Grid approximation of improved convergence order for a singularly perturbed elliptic convection-diffusion equation
G. I. Shishkin
165
Solutions of the extended nonlinear Schrödinger equation that oscillate at infinity
A. E. El'bert
183


© Steklov Math. Inst. of RAS, 2025