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 The construction of Ljapunov functionsE. A. Barbashin 2127 Optimal deviation in a differential gameN. N. Krasovskii, A. I. Subbotin 2159 The method of local cross sections in the theory of optimal processesV. G. Boltyanskii 2166 A certain class of probability characteristics of forced solutions of linear differential equations with constant coefficientsYu. I. Alimov 2184 Strict error estimates for the integration of a differential equation by Störmer's method. IL. Ya. Adrianova 2195 The number of operations required in the investigation by Frommer's method of a singular point of a differential equation with piecewise quasianalytic right-hand sideT. V. Stepanova 2208 A certain method of investigating singular problemsYu. S. Shatalov 2215 The relative position of the separatricesN. I. Avdonin 2230 Direct methods for the qualitative spectral analysis of a nonselfadjoint system of first order differential equations. IIV. V. Martynov 2243 A partly characteristic boundary value problem for a certain form of partial differential equations. IN. J. Yurchuk 2258 Regularization of nonlinear partial differential equationsV. V. Vasin 2268 Short Communications Some erroneous integral transform formulasN. M. Il'enkov 2275 A certain type of differential equations in a Banach spaceP. E. Sobolevskii 2278 The singular cycles of the equation $\frac{dy}{dx}=\frac{P(x,y)}{xy}$, where $P(x,y)$, is a second degree polynomialL. A. Cherkas 2281 Concerning the singularities of the solutions of an ordinary differential equationS. G. Kondratenya 2286 Reviews and Bibliography «Èñòîðèÿ îòå÷åñòâåííîé ìàòåìàòèêè»Yu. S. Bogdanov, E. A. Ivanov, A. I. Yablonskii 2290