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

1998, Volume 5

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Trudy Instituta Matematiki i Mekhaniki UrO RAN


Algebra
Small interactions in the groups ${\rm SL}_3(q)$, ${\rm SU}_3(q)$, ${\rm PSL}_3(q)$ and ${\rm PSU}_3(q)$
V. A. Belonogov
3
A study of $k$-arcs in Hughes plane of order 9 by means of computer
V. I. Vasil'kov, G. V. Maslennikov
28
Parabolic permutation representations of the group $F_4(q)$
V. V. Korableva
39
On $p$-regular groups
A. A. Finogenov
60

Topology
Strong topology of $C_{\lambda}(X)$
N. V. Velichko
67
On the theory of $K$-analytic spaces
E. G. Pytkeev
76
Steinhaus' problem on the chessboard
Ju. A. Shashkin
83

Functional analysis and its applications
Uniqueness and nonuniqueness of solution of the totality of the first kind equations equivalent with respect to a given accuracy
A. L. Ageev
85
The relative Jung constant in the space $l^n_{\infty}$
S. V. Berdyshev
97
A classification of the difference linear systems of the second order
V. A. Gustomesov
104
Application of $i$-smooth analysis to construction of numerical methods for solving functional-differential equations
A. V. Kim, V. G. Pimenov
119
Numerical realization of liydrodyiiamic 3D-model of the formation of sedimentary basins
B. M. Naimark, A. T. Ismail-zade, A. I. Korotkii, A. P. Suetov, I. A. Tsepelev
143
On solvability of a spectral boundary value problem
S. I. Novikov
174

Approximation theory
Exact Jackson–Stechkin inequality in the space $L^2(\mathbb R^m)$
A. G. Babenko
183
Maclaurin's expansion of Szegö's function whose weight is positive and satisfies Dini's condition, uniformly converges in the closed disc
V. M. Badkov
199
Approximative properties of sets with the convex complement
V. S. Balaganskii
205
On Bernstein's theorem about a sequence of best approximations in spaces $L^{\varphi}$.
A. I. Vasil'ev
227
“Suns” and geometric properties of the unit sphere in a Banach space
L. P. Vlasov
247
Exact Jackson–Stechkin inequality in the space $L_2$ on hyperboloid
V. Yu. Popov
254

Mathematical theory of optimal control and differential games
On the separation property in a priori problems of ensured control and estimation. Operator formalization
S. V. Kruglikov
267
On extension of stochastic constraints in the class of finitely additive probabilities
N. M. Loginova, A. G. Chentsov
277
Hamilton–Jacobi–Bellman equation for a nonlinear impulse control problem
A. V. Stefanova
301
Dynamic reconstruction of the set of parameters in the Goursat–Darboux boundary value problem
I. A. Tsepelev
319
The universal asymptotic realization of integral constraints and constructions of extension in the class of finitely additive measures
A. G. Chentsov
328

Mathematical Programming
Sigma-piecewise functions and problems of disjunctive programming
I. I. Eremin
357
About accuracy of the solution of internal subproblems in the Hestenes–Powell method
L. D. Popov
381

Letter to the Editor
A. I. Korotkii
387


© Steklov Math. Inst. of RAS, 2025