TMF, 2005, Volume 142, Number 1

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2005, Volume 142, Number 1

	Oleg Ivanovich Zav'yalov		3
	The rapidly decreasing solution of the Cauchy problem for the Toda lattice A. Kh. Khanmamedov		5
	A class of integrable evolutionary vector equations M. Yu. Balakhnev		13
	Mass spectra in the doubly symmetric theory of infinite-component fields L. M. Slad		21
	Investigating the anomaly puzzle in $N=1$ supersymmetric electrodynamics K. V. Stepanyantz		37
	Sudden-perturbation approximation for the dirac equation V. I. Matveev		58
	Resonance effects in the field of a stationary electromagnetic wave and a constant magnetic field V. V. Ternovskii, A. M. Khapaev, M. M. Khapaev		64
	Closed relativistic strings in geometrically nontrivial spaces A. E. Milovidov, G. S. Sharov		72
	One-magnon systems in an isotropic non-Heisenberg ferromagnetic impurity model S. M. Tashpulatov		83
	Smolukhovsky problem for electrons in a metal A. V. Latyshev, A. A. Yushkanov		93
	Nonequilibrium statistical thermodynamics of positronium atoms moving in solids Yu. A. Kashlev		112
	Algebra with polynomial commutation relations for the Zeeman effect in the Coulomb–Dirac field M. V. Karasev, E. M. Novikova		127
	The problem of processing time series: Extending possibilities of the local approximation method using singular spectrum analysis I. A. Istomin, O. L. Kotlyarov, A. Yu. Loskutov		148
	Obtaining equations of motion for charged particles in the $(v/c)^3$-approximation by the Einstein–Infeld–Hoffmann method M. V. Gorbatenko		160