Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
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Preface I. V. Volovich
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Mathematical Physics
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Mathematical Modeling of Molecular “nano-machines” V. A. Avetisov, A. Kh. Bikulov, A. P. Zubarev
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9 |
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On nonlocal cosmological equations on half-line I. Ya. Aref'eva, I. V. Volovich
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16 |
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Some features of second kind Fredholm equations kernels M. A. Buzova
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28 |
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Mathematical questions for theory of nonlinear pseudodifferential equations with $p$-adic string V. S. Vladimirov
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34 |
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Cauchy problem for the wave equation on non-globally hyperbolic manifolds O. V. Groshev
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42 |
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Weak and strong convergence of solutions to linearized equations of low compressible fluid N. A. Gusev
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47 |
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The estimates of the solution of the Dirichlet problem with boundary function from $L_p$ for a second-order elliptic equation A. K. Gushchin
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53 |
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Generalized functions asymptotically homogeneous along the unstable degenerated node Yu. N. Drozhzhinov, B. I. Zav'yalov
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68 |
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Method of general Coule–Hopf substitutions in theory of finite-dimensional dynamical systems V. M. Zhuravlev, C. S. Obrubov
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83 |
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$p$-Adic BMO and VMO functions E. I. Zelenov
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90 |
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The solution of the full matrix analogue of the generalized Abel equation with constant coefficients R. R. Ismagiliva
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93 |
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Simple proof of the adiabatic theorem M. O. Katanaev
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99 |
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Special solutions of matrix Gellerstedt equation E. A. Kozlova
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108 |
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Multidimensional $p$-adic metric and genetic code S. V. Kozyrev, A. Yu. Khrennikov
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113 |
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Dirac–Yang–Mills model equations with a spinor gauge symmetry N. G. Marchuk
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118 |
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The functional mechanics: Evolution of the moments of distribution function and the Poincaré recurrence theorem A. I. Mikhailov
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124 |
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On classical and functional approachs to mechanics E. V. Piskovskiy
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134 |
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Nonlocal boundary value problem for a Lykov's type system of first-order O. A. Repin, S. K. Kumykova
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140 |
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Solution in explicit form of non-local problem for differential equation with partial fractional derivative of Riemann–Liouville S. A. Sayganova
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151 |
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Boltzmann equation and $H$-theorem in the functional formulation of classical mechanics A. S. Trushechkin
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158 |
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Theorem on the norm of elements of spinor groups D. S. Shirokov
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165 |
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Matrix models and parquet approximation A. O. Shishanin
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172 |
Mechanics
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On stability of solutions of equations of interaction between elastic walls of channels and affluent liquid A. V. Ankilov, P. A. Vel'misov
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179 |
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Investigation of the stress-strain state of the asymmetrical elastic plates V. O. Bytev, I. V. Slezko
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186 |
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Concentrated force acting near the tip of an interface crack with a rigid overlay on its side Yu. O. Vasilieva, V. V. Sil'vestrov
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191 |
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An optimal system of one-dimensional subalgebras for the symmetry algebra of three-dimensional equations of the perfect plasticity V. A. Kovalev, Yu. N. Radaev
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196 |
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Propagation of thermoelastic impulse through a cylindrical waveguide under sidewall heat interchanging V. A. Kovalev, Yu. N. Radaev, R. A. Revinskiy
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221 |
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Construction of analitical solution of 2D stochastically nonlinear boundary value problem of steady creep state with respect to the boundary effects L. V. Kovalenko, N. N. Popov
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228 |
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Progective algorithm of boundary value problem for inhomogeneous Lame's equation V. G. Lezhnev, A. N. Markovsky
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236 |
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On orthogonal second order finite functions associated with triangular meshes and their application in mathematical modeling V. L. Leont'ev, A. V. Kochulimov
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241 |
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Static bending and vibrations of multilayer orthotropic rectangular plate with simply supported edges P. F. Nedorezov, A. V. Aristambekova
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244 |
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Rheological model of viscoelastic body with memory and differential equations of fractional oscillator E. N. Ogorodnikov, V. P. Radchenko, N. S. Yashagin
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255 |
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Method of states on the basis of Kilchevskiy's equations for analysis of 3D steady-state oscillation V. B. Pen'kov, I. N. Stebenev
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269 |
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Mathematical model of the development of the wedging crack in the disturbed material E. V. Spiridonova, S. V. Beloborodova
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276 |
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Simulation of high-temperature shortening of cylinders under different material creep equations V. V. Teraud
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283 |
Theoretical Physics
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Time dynamics of electron wave functions of 3D quantum ring in alternating magnetic field A. A. Bryzgalov, F. I. Karmanov
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291 |
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Thermal Equations of the Radiation Dominated Universe Evolution M. V. Dolgopolov, E. Yu. Petrova
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297 |
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The chiral color symmetry and $G'$-boson mass limit from new Tevatron data on $t \bar{t}$ production M. V. Martynov, A. D. Smirnov
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305 |
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The $n {-} \bar n$ oscillations in neutron fluxes running from Sun to Earth L. S. Molchatsky
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313 |