книги2 / 10-1

Фармонов Ш.Р. Нелокальные задачи для уравнения сме-

шанного типа с сильным вырождением . .

. . . . . .

. 262

Федоров В.Е., Захарова Т.А. Квазилинейные уравнения с

дробными производными в банаховых пространствах

. 265

Фомин В.И. О разложении комплексных операторных три-

гонометрических функций в степенные ряды . . . . .

. 269

Фомин

В.И.

Об

n-компонентных

векторно-

функциональных операторах . . . . . . . .

. . . . . .

. 273

Фомин В.И. О нормировании алгебры комплексных опера-

торов

. . . . .

. . . .

. . . . . . . . . . . . .

. . . . . .

. 277

Хабибуллин Б.Н., Меньшикова Э.Б. Интегральные нера-

венства для распределений корней голоморфных

функций при ограничениях их роста . . . . . . . . .

. . 280

Хасанов Ю.Х. Об абсолютной сходимости рядов в тополо-

гических пространствах . . . . . . . . . . . . . . . .

. . 283

Хацкевич В.Л. Применение метода функций Грина к реше-

нию линейных дифференциальных уравнений высоко-

го порядка с нечеткозначной правой частью . . . .

. . 285

Царьков И.Г. Вопросы существования в равномерно выпук-

лых несимметричных пространствах . . . . . . . . .

. . 289

Цехан О.Б. Асимптотическая аппроксимация решения од-

ной линейной нестационарной сингулярно возмущен-

ной системы с постоянным запаздыванием . . . . .

. . 292

Челнокова А.С., Бубенчиков А.М. Моделирование взаимо-

действия газовой смеси с графеновой поверхностью

. . 295

Чистяков В.Ф. О решении начально-краевых задач для

дифференцино-алгебраических уравнений в частных

производных методом наименьших квадратов . . . .

. . 296

Шамолин М.В. Инварианты динамических систем малого

нечетного порядка с диссипацией . . . . . . . . . . .

. . 301

Шананин Н.А. О продолжении четности решений диффе-

ренциальных уравнений с аналитическими коэффици-

ентами . . . . . . . . . . . . . . . . . . . . . . . . . . .

. . 303

Kolokoltsov V.N. New nonlinear stochastic equations of

Schrodinger-Belavkin type describing continuously

observed quantum systems of a large number of particles . 305

Korzyuk V.I., Rudzko J.V. Classical solution of the first mixed

problem for a mildly quasilinear wave equation . . . .

. . 306

Malyutin K.G., Kabanko M.V. Delta-subharmonic functions of

finite order with respect to the model function of growth . 308

Misiuk V.R. About one embedding theorem . . . . . . . . .

. . 311

Sidorenko V.V. Application of a map approximating the phase

flow to study the attitude motion of a satellite in a

gravitational field . . . . . . . . . . . . . . . . . . . . .

. . 312

Contents

Kostin V.A. In the epicenter of two catastrophes (from the life

of Academician V. P. Maslov) . . . . . . . . . . . . . . . .

21

Abduragimov G.E. On the existence and uniqueness of a

positive solution to a boundary value problem for one

nonlinear FDE of even order . . . . . . . . . . . . . . . . .

33

Agureeva E.S. The separating set of the pseudo-euclidean

analogue of the axisymmetric Zhukovsky system . . . . .

35

Adamova R.S To the Mordell’s theorem . . . . . . . . . . . . .

38

Alkhutov Yu.A., Chechkin G.A. Existence, uniqueness and

higher integrability of gradient of solutions to Zaremba

problem for Poisson equation with shift . . . . . . . . . .

39

Arakhov N.D., Pryadiev V.L. About the equation y′′(x) +

p(x)f(y(x))g(y′(x)) = 0 as Euler’s equation in the

calculus of variations . . . . . . . . . . . . . . . . . . . . .

42

Askerova N.Yu., Galeev E.M. Conditions of the 2nd order

extremum in problems of calculus of variations . . . . . .

43

Askhabov S.N. Integro-differential equation with a sum-

difference kernel and inhomogeneity in the linear part . .

46

Atanov A.V., Loboda A.V. On orbits of 7-dimensional Lie

algebras with 3-dimensional abelian ideal . . . . . . . . .

48

Baderko E.A., Fedorov K.D. On the smoothness of the

solution of the first initial-boundary value problem for

parabolic systems in a semibounded curvilinear domain

on the plane . . . . . . . . . . . . . . . . . . . . . . . . . .

50

Banaru G.A., Banaru M.B. The problem on the classification

of 6-dimensional Hermitian planar submanifolds of Cayley

algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

51

Barysheva I.V., Trusova N.I., Frolova E.V. On continuity of

the partial-integral operator with weak singularity in the

anisotropic CLp class of functions . . . . . . . . . . . . . .

55

Baskakov A.G., Garkavenko G.V., Kostina L.N., Uskova N.B.

On invertibility states and weak similarity of some classes

of linear operators . . . . . . . . . . . . . . . . . . . . . .

57

Belozerov G.V., Fomenko A.T. Orbital invariants of billiards .

60

Bogatov E.M. On the development of topological methods

of nonlinear analysis and the contribution of domestic

mathematicians . . . . . . . . . . . . . . . . . . . . . . . .

62

Borovskikh A.V. Lie group geometry at the group analysis of

the one-dimensional kinetic equation . . . . . . .

. . . . . 68

Bulatov Yu.N. Generalized T-pseudo-shift and Poisson formula

for the solution of the Euler-Poisson-Darboux-Kipriyanov

equation . . . . . . . . . . . . . . . . . . . . . . .

. . . . . 71

Bulinskaya E.V. Mathematical models of risk theory

. . . . . 73

Vasilyev V.B. On the reduction method for infinite system of

linear algebraic equations . . . . . . . . . . . . .

. . . . . 74

Vedyushkina V.V. The Liouville foliation of the billiard books

in the neigborhood of the focal fiber . . . . . . .

. . . . . 76

Virchenko Yu.P., Chentsova V.V. Estimates of solutions

with mode aggravation of the nonlinear heat conduction

equation . . . . . . . . . . . . . . . . . . . . . . .

. . . . . 79

Votiakova M.M. Minenkov D.S. Asymptotics of long nonlinear

coastal waves and their relation to billiards with semi-rigid

walls . . . . . . . . . . . . . . . . . . . . . . . . .

. . . . . 82

Gasanov M.V., Orlov V.N. Problems arising in the study of

a certain class of nonlinear differential equations and

methods for their solution . . . . . . . . . . . . .

. . . . . 83

Gliklikh Yu.E. Operator approach to periodic solutions of

differential equations of Lie groups . . . . . . . .

. . . . . 86

Gorshkov A.V. The Hodge-Helmholtz problem and no-slip

condition in exterior domains . . . . . . . . . . .

. . . . . 87

Danilov V.G. Maslov’s tunnel asymptotics for problems with

continuous and discrete arguments . . . . . . . .

. . . . . 89

Dzhangibekov G., Koziev G. Two-dimensional

integral

operators with moving and fixed singularities over a

bounded region . . . . . . . . . . . . . . . . . . .

. . . . . 90

Dobrokhotov S.Yu., Minenkov D.S., Nazaikinsky V.E.

Asymptotic solutions of problems with a free boundary

for a system of shallow water equations in the vicinity of

a gentle shore . . . . . . . . . . . . . . . . . . . .

. . . . . 92

Egorova A.Yu. Solvability of the Cauchy problem for parabolic

system in anisotropic Zygmund spaces . . . . . .

. . . . . 93

Zhalukevich D.S. Method of field characteristics for

autonomous systems of the third order . . . . . .

. . . . . 95

Zhuikov K.N., Savin A.Yu. Eta-invariant of elliptic parameter-

depndent boundary value problems . . . . . . . .

. . . . . 97

Zavyalov V.N. The Fomenko-Zieschang invariants of circular

billiards with slipping at any retional angle . . .

. . . . . 99

Zvyagin A.V. Initial-boundary value problem describing the

motion of a viscoelastic medium with a fractional

derivative in the rheological relation . . . . . . . . . . . .

101

Zvyagin A.V., Strukov M.I. Existence of weak solutions to the

initial boundary problem for viscoelastic medium . . . . .

102

Zizov V.S Dynamic activity of decoders in a model of long

cellular circuits . . . . . . . . . . . . . . . . . . . . . . . .

104

Zolotukhina A.A. Asymptotic solutions of a one-dimensional

pseudodifferential equation for water waves over an

uneven bottom, taking into account reflection from a

vertical wall . . . . . . . . . . . . . . . . . . . . . . . . . .

109

Zubova S.P., Raetskaya E.V. Building feedback to stabilize

the program motion of the satellite in case of failure in

radial thrust . . . . . . . . . . . . . . . . . . . . . . . . . .

110

Ilolov M.I., Rakhmatov J.Sh. About some three-dimensional

geothermic problems . . . . . . . . . . . . . . . . . . . . .

112

Kabanko M.V. On the triangular structure of the operator

algebra in couples of spaces of analytic functions . . . . .

114

Kibkalo V.A Atomic invariants of billiard books and maximally

symmetric atoms . . . . . . . . . . . . . . . . . . . . . . .

115

Klimishin A.V. Stable solution of the inverse problem for the

metaharmonic equation for a body of constant thickness . 120

Korosteleva D.M. Numerical modeling of the eigenvibrations of

the plate with oscillator . . . . . . . . . . . . . . . . . . .

123

Kostenko E.I. Study of the weak solvability of one model of the

nonlinear viscous motion fluid . . . . . . . . . . . . . . . .

126

Kostin D.V., Kostin T.I., Baboshin S.D., Zhurba A.V. On the

mathematical model of an imperfect pulse submersible . . 128

Kudryavtsev K.N., Simakov P.K. Formation of a package of

securities using the EDAS method . . . . . . . . . . . . .

130

Kulagin A.E., Shapovalov A.V. Semiclassical quasiparticles for

the Schrodinger equation with a nonlocal nonlinearity and

anti-Hermitian term . . . . . . . . . . . . . . . . . . . . .

133

Kulikov A.N., Kulikov D.A., Frolov D.G. Taking into account

spatial factors in the multiplier-accelerator model . . . . .

136

Kunakovskaya O.V. Topological indices and their applications

137

Kurbanov A.O. On the asymptotic center of a sequence of

sequential contours in a Banach space . . . . . . . . . . .

140

Kyrov V.A. Operator Lax equation in Jordan form . . . . . . .

141

Lyakhov

L.N.,

Roshchupkin

S.A.,

Bulatov

Yu.N.

Pseudodifferential Kipriyanov operators

. . . . . .

. . . . 157

Maslov D.D. Geodesic billiards on paraboloids in the gravity

field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

162

Mirzoev K.A. Recurrence relations with skips for Bernoulli and

Euler polynomials . . . . . . . . . . . . . . . . . . . . . .

165

Mironova L.B. On the solvability of a boundary value

problem for a factorized equation with a pseudoparabolic

differential operator . . . . . . . . . . . . . . . . . . . . .

169

Naimov A.N. On the question of the existence of periodic

solutions for systems of nonlinear ordinary differential

equations . . . . . . . . . . . . . . . . . . . . . . . . . . .

178

Nesterov A.V. On the asymptotics of the solution of the Cauchy

problem for one singularly perturbed differential operator

transport equation . . . . . . . . . . . . . . . . . . . . . .

181

Nikolaev V.G. About the solvability of the Schwartz problem

in an ellipse for two-dimensional matrices . . . . . . . . .

182

Nikulin M.A. Asymptotic behaviour of energy levels of a

quantum free particle in an elliptic sector . . . . . . . . .

183

Okishev V.A. Computational model of composite material

heating during surface heating by electron beam . . . . .

185

Orlov V.P. Rules for the preparation of abstracts . . . . . . .

186

Pankov V.V. A priori estimates of the solutions and solvability

of one class of boundary value problems in a strip for

degenerate high order elliptic equations . . . . . . . . . .

189

Pastukhova S.E. Homogenization estimates for higher order

elliptic operators . . . . . . . . . . . . . . . . . . . . . . .

191

Pereskokov A.V. Asymptotic solutions to the Hartree equation.

Asymptotics of self-consistent potentials . . . . . . . . . .

193

Petrosyan G.G. On a controllability problem for a feedback

control system governed by a differential equation and a

sweeping process . . . . . . . . . . . . . . . . . . . . . . .

196

Piskarev S.I. Convergence rate estimates and coercivity for

fractional equations . . . . . . . . . . . . . . . . . . . . . .

198

Plyshevskaya S.P. Research of local dynamics of the Cahn-

Hilliard family equations . . . . . . . . . . . . . . . . . . .

199

Pozdnyakov A.A. About a low frequency part of spectrum of

oscillations of a three-dimensional grid of strings . . . . .

202

Pochinka O.V. Stable paths in the space of dynamical systems

203

Pryadiev V.L. Boundary behaviours method for wave equation

on a geometric graph . . . . . . . . . . . . . . . . . . . . .

203

Pskhu A.V. Inversion formula for distributed order integro-

differentiation operators . . . . . . . . . . . . . . . . . . .

206

Pustovoitov S. E. Semilocal singularities of Birkhoff billiard

with potential . . . . . . . . . . . . . . . . . . . . . . . . .

206

Rautian N.A. Representations of the solutions of Volterra

integro-differential equations in Hilbert spaces . . . . . . .

208

Rodikova E.G., Kislakova K.V. On differentiation in classes of

the M. Djrbashyan type . . . . . . . . . . . . . . . . . . .

209

Rumyantseva S.V. Tunnel splitting of lower energy levels of the

quadratic operator on the su(1, 1) . . . . . . . . . . . . .

212

Sabitov K.B. Inverse problems for the heat equation to find a

source with nonlocal integral observation . . . . . . . . . .

214

Savin A.Yu. Quantized canonical transformationis and index

theory . . . .

. . . . . . . . . . . . . . . . . . . . . . . . .

219

Sadov S.Yu. On precise norms of convolution operators in Lp

scale of spaces .

. . . . . . . . . . . . . . . . . . . . . . . .

221

Salnikova T.V., Kugushev E.I. On localized motions in the

neighborhood of an unstable equilibrium point . . . . . .

223

Samsonov A.A. Asymptotic properties of eigenvibrations of a

loaded plate . .

. . . . . . . . . . . . . . . . . . . . . . . .

228

Sakharov S.I.

Initial-boundary value problems for

homogeneous parabolic systems in a semibounded

plane domain and the Lopatinskii condition . . . . . . . .

231

Safonova T.A.,Barmak B.D. On new representations of the

Dirichlet Beta function in natural points . . . . . . . . . .

231

Soliev Yu.S. About quadrature formulas with multiples nodes

for singular integral by real axis segment . . . . . . . . .

234

Solov’ev P.S. Approximation of positive solutions of nonlinear

spectral problems . . . . . . . . . . . . . . . . . . . . . . .

237

Spivac A.S. On the construction of barriers for soft laplacian

on stratified set . . . . . . . . . . . . . . . . . . . . . . . .

240

Stepanov A.V., Chunovkina A.G. On one method for choosing

a distribution law from the TSP family and its properties

241

Sukhocheva L.I. On twofold completeness and basis of Jordan

chains of the quadratic bundle of operators . . . . . . . .

244

Tao S. Dynamics and exact solutions of the Boussinesq

equation . . . .

. . . . . . . . . . . . . . . . . . . . . . . .

246

Tashpulatov S.M., Parmanova R.T. Structure of essential

spectrum and discrete spectra of the energy operator of

fouer-electron systems in the impurity hubbard model in

the three-dimensional lattice. Third-triplet state . . . . .

248

Tikhonov Yu.A. On correct solvability of one class of integro-

differential equations, arising in viscoelasticity theory . . . 251

Tkacheva S.A., Savchenko G.B., Balykin D.I. Оn the

solvability of the boundary problem for some differential

equations with «weighted» derivative . . . . . . . . . . . .

254

Tlyachev V.B., Ushkho D.S. On phase portraits of a dynamical

system describing a flat elastic medium in the framework

of the Ginzburg-Landau theory . . . . . . . . . . . . . . .

256

Farkov Yu.A. Step tight frames on a field of formal Loran

series . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

261

Shamolin M.V. Invariants of lower odd order dynamical

systems with dissipation . . . . . . . . . . . . . . . . . . .

301