Ab initio . ., . ., - - .76 . ., . ., - .82 . ., - .88 . ., . ., - . ., . . . ., . ., . . - .95 . ., - .100 - . ., . ., . . . ., . . . . m p .107 . ., . ., . ., (Y1–xNdx)3Al5O12 .110 – .114 © , 2013 CONTENTS Mathematics AZOV D.G. Estimation of bijective projection area of a surface with negative curvature . 4 AKIMOVA A.A. Classification of knots in the thickened torus with minimal diagrams which are not in a circule and have five crossings . 8 HERREINSTEIN A.V., KHAYRISLAMOV M.Z. Explicit difference scheme for the solution of one-dimensional quasi-linear heat conductivity equation. 12 ZIMOVETS A.A. A boundary layer method for the construction of approximate attainability sets of control systems . 18 KAMALTDINOVA T.S. Approximate solution of inverse boundary problem for the heat conductivity equation by nonlinear method of projection regularity . 26 KARACHIK V.V. On one generalized mean theorem for harmonic functions . 34 LEBEDEV P.D., USHAKOV V.N. A variant of a metric for unbounded convex sets. 40 MENIKHES L.D. On connection between sufficient conditions of regularizability of integral equations. 50 PASIKOV V.L. Extreme strategies in game-theory problems for linear integral differential Volterra systems, II. 55 PATRUSHEV A.A., PATRUSHEVA E.V. A variant of the solution of Markushevich boundary problem. 63 YULDASHEV . . <...> Inverse problem for nonlinear integral differential equation with hyperbolic operator of a high degree . 69 Physics VERKHOVYKH A.V., MIRZOEV A.A. Ab initio modeling of the grain boundary formation energy in BCC iron. 76 GROMOV V.E., RAYKOV S.V., SHERSTOBITOV D.A., IVANOV Yu. <...> ESTIMATION OF BIJECTIVE PROJECTION AREA OF A SURFACE WITH NEGATIVE CURVATURE D.G. Azov1 The article deals with a surface of negative Gaussian curvature which is bijectively projected onto a circle. <...> Keywords: surfaces with negative Gaussian curvature, hyperbolic Monge–Ampere equation, estimation of bijective projection area. <...> Efimov N.V. Issledovanie polnoj poverkhnosti otricatelnoj krivizny [Research of a complete surface with negative curvature]. <...> G 1 Akimova Alyona Andreevna is Student, South Ural State University. <...> Herreinstein A.V., Mashrabov N. Nagrevanie kruga dvizhushhimsya teploistochnikom [Circle heating by moving heat source]. <...> Herreinstein A.W., Herreinstein E.A., Mashrabov N. Ustojchivye yavnye skhemy dlya urav[Steady <...>
Вестник_Южно-Уральского_государственного_университета._Серия_Математика._Механика._Физика_№1_2013.pdf
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CONTENTS
Mathematics
AZOV D.G. Estimation of bijective projection area of a surface with negative curvature ................. 4
AKIMOVA A.A. Classification of knots in the thickened torus with minimal diagrams which are
not in a circule and have five crossings ............................................................................................... 8
HERREINSTEIN A.V., KHAYRISLAMOV M.Z. Explicit difference scheme for the solution of
one-dimensional quasi-linear heat conductivity equation.................................................................... 12
ZIMOVETS A.A. A boundary layer method for the construction of approximate attainability sets
of control systems ................................................................................................................................ 18
KAMALTDINOVA T.S. Approximate solution of inverse boundary problem for the heat conductivity
equation by nonlinear method of projection regularity .............................................................. 26
KARACHIK V.V. On one generalized mean theorem for harmonic functions .................................. 34
LEBEDEV P.D., USHAKOV V.N. A variant of a metric for unbounded convex sets....................... 40
MENIKHES L.D. On connection between sufficient conditions of regularizability of integral equations......................................................................................................................................................
50
PASIKOV V.L. Extreme strategies in game-theory problems for linear integral differential
Volterra systems, II.............................................................................................................................. 55
PATRUSHEV A.A., PATRUSHEVA E.V. A variant of the solution of Markushevich boundary
problem................................................................................................................................................ 63
YULDASHEV . . Inverse problem for nonlinear integral differential equation with hyperbolic
operator of a high degree ..................................................................................................................... 69
Physics
VERKHOVYKH A.V., MIRZOEV A.A. Ab initio modeling of the grain boundary formation energy
in BCC iron.................................................................................................................................. 76
GROMOV V.E., RAYKOV S.V., SHERSTOBITOV D.A., IVANOV Yu.F., KHAIMZON B.B.,
KONOVALOV S.V. Analysis of carbon dissolution in titanium under electron beam treatment ...... 82
RECHKALOV V.G., BESKACHKO V.P. Simulation of experiments to measure surface tension
by the shape of a drop surface at the existence of irregularity in its hanger or bearing....................... 88
SOZYKIN S.A., SOKOLOVA E.R., TELNOY K.A., BESKACHKO V.P., VYATKIN G.P. Quantum-chemical
modeling of deformation processes of chiral carbon nanotubes................................... 95
SHEVYAKOV I.A., TAMBOVCEV V.I., KUCHURKIN A.A. Radio physical properties of collisional
plasma in gas discharge............................................................................................................. 100
Short communications
AL-DELFI J.K. Quasi-Sobolev spaces m
p .......................................................................................... 107
RYBINA E.N., BRYZGALOV A.N., SVIRSKAYA L.M., VIKTOROV V.V., VOLKOV P.V.,
ZHIVULIN D.E. The magnetic properties of solid solutions (Y1–xNdx)3Al5O12.................................. 110
CHIRKOV P.V., MIRZOEV A.A. Ineratomic potential for iron-carbon system and martencitic
phase transition problem...................................................................................................................... 114
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