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 The problem of constructing a matrix with a given determinantM. B. Korolëv 1267 Energy bounds of some nonlinear dynamical systems with an external actionYu. A. Kriksin 1275 The problem of determining the coefficient in the nonlinear stationary heat-conduction equationA. M. Denisov, S. I. Solovjeva 1294 Mesh approximation of singularly perturbed quasilinear elliptic equations which degenerate to a zero-order equationG. I. Shishkin 1305 On the nonlinear vibrations equation with a coefficient containing an integralHuynh Ba Lan, Le Thai Thanh, Nguyen Thanh Long, Nguyen Thuan Bang, Tran Luu Cuong, Trinh Ngoc Minh 1324 Adaptive grids and grids on surfacesS. A. Ivanenko 1333 Conservative difference schemes for non-stationary Maxwell's equations in three dimensionsA. R. Maikov, A. G. Sveshnikov 1352 Planar bending vibrations of a curved rodM. G. Giorgadze, A. D. Myshkis 1368 On the numerical solution of the inverse problem of $X$-ray diffraction opticsV. V. Aristov, S. M. Kuznetsov 1377 Approximate solutions of systems of Boolean equationsV. K. Leont'ev, G. P. Tonoyan 1383 On the stability of bottleneck problemsE. N. Gordeev 1391 Scientific communications On some modifications of Newton's method for solving the nonlinear spectral problemS. V. Kartyshov, L. F. Yukhno 1403 An iterative method for solving variational inequalities of the contact elastoplastic problem by the penalty methodV. A. Kovtunenko 1409 The solvability of a multipoint boundary-value problem for the one-dimensional drift-diffusion model of a semiconductor multiterminal networkV. V. Gudkov 1415 Flow around a blunt spherical body in a supersonic turbulent wakeYu. P. Golovachëv, V. V. Zemlyakov 1422 On the solvability of vector problems of diffraction in domains connected through an opening in a screenYu. G. Smirnov 1427