Russian Math. Surveys 1985, Volume 40, Issue 4(244)

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1985, Volume 40, Issue 4(244)

	International conference “Modern Problems of Algebra and Analysis” Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 1–2 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003605 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 3–4	1–2
	Address by Academician N. N. Bogolyubov at the opening session of the conference Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 3–6 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003606 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 5–12	3–6
Plenary lectures
	Iteration of holomorphic maps E. Vesentini Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 7–11 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003607 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 13–16	7–11
	Conservation laws for non-linear equations V. S. Vladimirov, I. V. Volovich Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 13–24 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003608 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 17–26	13–24
	Identification of noisy systems R. E. Kalman Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 25–42 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003609 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 27–41	25–42
	Explicit results on the arithmetic of curves of higher genus J. S. Cassels Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 43–48 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003610 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 43–47	43–48
	Minimal total curvature, a look at old and new results N. H. Kuiper Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 49–55 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003611 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 49–54	49–55
	Some questions in the optimal control of distributed systems J. Lions Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 57–72 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003612 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 55–68	57–72
	Applications of categorical algebra S. MacLane Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 73–80 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003613 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 69–75	73–80
	About teaching the subject of algebra at school S. M. Nikol'skii Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 81–83 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003614 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 77–78	81–83
	The geometry of conservative systems of hydrodynamic type. The method of averaging for field-theoretical systems S. P. Novikov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 85–98 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003615 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 79–89	85–98
	Abelian and Tauberian theorems for Stieltjes transforms of distributions B. Stanković Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 99–113 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003616 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 91–103	99–113
	On sign systems K. Tandori Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 115–119 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003617 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 105–108	115–119
	Twistor geometry and classical field theory R. O. Wells, Jr Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 121–128 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003618 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 109–115	121–128
	Cocycles of the group of currents and the quantum theory of Yang–Mills fields L. D. Faddeev Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 129–133 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003619 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 117–120	129–133
	Algebraic surfaces with extreme Chern numbers (report on the thesis of Th. Höfer, Bonn, 1984) F. Hirzebruch Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 135–145 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003620 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 121–129	135–145
Brief communications
	Free commutative quasi-regular algebras and algebras without quasi-regular subalgebras V. A. Andrunakievich, Yu. M. Ryabukhin Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 147–148 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003621 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 131–132	147–148
	The Nielsen numbers of maps of nil-manifolds D. V. Anosov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 149–150 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003622 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 133–134	149–150
	On the problem of extending the topologies of a group and a ring to their group ring V. I. Arnautov, A. V. Mikhalev Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 151–152 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003623 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 135–136	151–152
	On computational proofs and mathematical experiments on computers K. I. Babenko Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 153–154 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003624 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 137–138	153–154
	Derivation of perfect lattices from admissible centerings E. P. Baranovskii, S. S. Ryshkov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 155–156 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003625 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 139–140	155–156
	On the problem of the extremum of discontinuous maps V. D. Batukhtin Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 157–158 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003626 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 141–142	157–158
	The distribution of rounding errors in numerical algorithms realized on computers I. V. Bezmenov, V. V. Rusanov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 159–160 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003627 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 143–144	159–160
	Topological analysis of Steklov's integrable cases O. I. Bogoyavlenskii, G. F. Ivakh Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 161–162 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003628 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 145–146	161–162
	Analytic methods in bifurcation theory A. I. Botashev Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 163–164 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003629 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 147–148	163–164
	A generalization of Keldysh's construction of a monotone map of a cube onto a cube of higher dimension A. V. Chernavskii Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 165–167 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003630 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 209–211	165–167
	On supersoluble almost Abelian $A$-groups satisfying the minimum condition S. N. Chernikov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 168–169 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003631 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 207–208	168–169
	Approximation by algebraic polynomials on simplexes Z. Ciesielski Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 170–172 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003632 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 212–214	170–172
	On an elliptic problem with free boundary I. I. Danilyuk Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 173–174 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003633 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 159–160	173–174
	Integration of the differential cross-section of the scattering of a photon by an electron with arbitrary momentum V. A. Dzhrbashyan Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 175–176 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003634 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 161–162	175–176
	On the theory of linear equations of Fuchsian type V. K. Dzyadyk Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 177–178 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003635 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 163–164	177–178
	Remarks on a theorem of Keldysh–Lavrent'ev P. M. Gauthier Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 179–180 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003636 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 157–158	179–180
	On the representation of functionals on a Wiener field I. I. Gikhman Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 181–182 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003637 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 153–154	181–182
	On the equilibrium problem for vector potentials A. A. Gonchar, E. A. Rakhmanov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 183–184 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003638 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 155–156	183–184
	The $ K$-theory of special normed algebras Kh. N. Inasaridze Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 185–186 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003639 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 169–170	185–186
	Ill-posed problems and divergent processes V. K. Ivanov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 187–188 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003640 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 165–166	187–188
	On functions determined by central exponents of high order N. A. Izobov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 189–190 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003641 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 167–168	189–190
	On the real zeros of the function $\zeta(1/2+it)$ A. A. Karatsuba Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 191–192 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003642 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 171–172	191–192
	Precise Hölder exponents for a generalized solution of the Dirichlet problem for the biharmonic equation that are defined by the geometry of the domain V. A. Kondrat'ev, O. A. Oleinik Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 193–194 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003643 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 173–174	193–194
	Duality of extremal problems in function spaces and approximation of functions N. P. Korneichuk Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 195–196 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003644 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 175–176	195–196
	The method of a small parameter in flows of a gas containing dust V. P. Korobeinikov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 197–198 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003645 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 177–178	197–198
	The regular formalization of the basic concepts of the quasidifferential calculus Yu. P. Krivenkov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 199–200 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003646 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 179–180	199–200
	An analytical description of the set of enduring trajectories of a differential system A. B. Kurzhanskii Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 201–202 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003647 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 183–184	201–202
	Poincaré series and an extension of the Lehmer conjecture N. V. Kuznetsov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 203–204 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003648 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 181–182	203–204
	On central exponents of diffeomorphisms V. M. Millionshchikov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 205–206 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003649 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 185–186	205–206
	Investigation of the solution of a non-linear equation of gravitation theory E. I. Moiseev, V. A. Sadovnichii Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 207–208 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003650 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 187–188	207–208
	Equivariants in the category of Markov maps E. A. Morozova, N. N. Chentsov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 209–210 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003651 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 189–190	209–210
	On Schrödinger's equation with a generalized potential Yu. A. Rozanov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 211–212 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003652 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 191–192	211–212
	A new axiomatic approach in the theory of operator algebras T. A. Sarymsakov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 213–214 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003653 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 193–194	213–214
	Estimates of integral representations in a future tube A. G. Sergeev Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 215–216 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003654 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 195–196	215–216
	Averaging of quasilinear elliptic problems in perforated domains I. V. Skrypnik Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 217–218 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003655 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 197–198	217–218
	On the number of irreducible polynomials in $F_q[x]$ of special form S. A. Stepanov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 219–220 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003656 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 199–200	219–220
	A question in the mathematical theory of discrete Boltzmann equations U. M. Sultangazin Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 221–222 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003657 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 201–202	221–222
	Quadrature formulae and recovery of number-theoretical nets from nodal values for classes of functions with small degree of smoothness V. N. Temlyakov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 223–224 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003658 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 203–204	223–224
	Generalized convolutions K. Urbanik Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 225–226 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003659 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 205–206	225–226
	The comparison principle in mathematical systems theory S. N. Vassilyev, V. M. Matrosov, E. A. Sumenkov Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 227–228 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003660 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 149–150	227–228
	Extension of the germ of a holomorphic map of a strictly pseudo-convex surface A. G. Vitushkin Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 229–230 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003661 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 151–152	229–230

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society
	On Poisson brackets of hydrodynamic type with a degenerate metric N. I. Grinberg Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 231–232 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003662 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 217–218	231–232
	Halmos algebras and axiomatizable classes of quasi-groups A. A. Gvaramiya Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 233–234 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003663 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 215–216	233–234
	On injective Boolean spaces A. G. Lutsenko Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 235–236 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003665 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 219–220	235–236
	On the measure of algebraic independence of the values of an elliptic function at algebraic points Yu. V. Nesterenko Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 237–238 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003666 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 221–222	237–238
	On a uniqueness theorem for martingales N. B. Pogosyan Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 239–240 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003667 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 223–224	239–240
	Extremal projections for reductive classical Lie superalgebras with a non-degenerate generalized Killing form V. N. Tolstoy Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 241–242 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003668 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 225–226	241–242
	On the connection between complex and operator topological equivariant $K$-theories E. V. Troitskii Russian Mathematical Surveys, 1985, Volume 40, Issue 4, Pages 243–244 DOI: https://doi.org/10.1070/RM1985v040n04ABEH003669 Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 227–228	243–244
Papers published in the Russian version only
Reviews and Bibliography
	New books on mathematics L. P. Kalinina Uspekhi Matematicheskikh Nauk, 1985, Volume 40, Issue 4(244), Pages 229–237	229–237

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