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 1996, Volume 32, Number 2

 Ordinary Differential Equations On the existence of periodic points in a neighborhood of a homoclinic point of an $n$-dimensional diffeomorphismE. V. Vasil'eva 147 On the transcendence of the Painlevé equationsV. I. Gromak 154 On equiconvergence for matrix differential operators with a diagonal-matrix eigenvalueA. V. Dyadechko 161 On a singular Cauchy problem for systems of linear ordinary differential equationsI. T. Kiguradze 171 Duck cycles of three-dimensional relaxation systems with one fast and two slow variablesA. Yu. Kolesov, N. Kh. Rozov 180 On the existence of right-sided solutions of the differential equations of the dynamics of mechanical systems with dry frictionV. M. Matrosov, I. A. Finogenko 185 Description of the nonwandering set of a periodic systemV. A. Pliss 193 Conditions for the existence of selfadjoint extensions of a third-order differential operatorV. P. Serebryakov 201 Application of the axiomatic method for studying differential equations with singularitiesA. F. Filippov 205 Numerical methods. Equations in finite differences Stability of two-parameter discrete systems with commuting operatorsI. V. Gaishun 216 Optimality conditions in a linear two-parameter differential-difference control system with constraintsM. P. Dymkov 225 Solution of the a posteriori estimation problem in fuzzy observation systems by means of a fuzzy preference relationS. K. Korzhenevich 232 Numerical solution of supersingular integral equations by a rectangle-type methodI. K. Lifanov, L. N. Poltavskii 238 On a modification of a numerical-analytic method for solving two-point boundary value problems for ordinary differential equationsYu. I. Mel'nik 249 Representation of solutions of difference equations with a continuous argumentG. P. Pelyukh 256 Difference schemes of increased order of accuracy on nonuniform gridsA. A. Samarskii, P. N. Vabishchevich, P. P. Matus 265 Short Communications Fractional powers of the operator $-|x|^2\Delta$ in $L_p$-spacesA. V. Abramyan, V. A. Nogin, S. G. Samko 275 On the stability of linear differential systems with a small parameter multiplying the derivativeS. G. Krasovskii 277 Instability of nonconstant stationary solutions of reaction and density-dependent diffusion equations in a convex domainV. N. Razzhevaikin 280 On the deviations of Demidovich's characteristic exponents of linear diagonal systems under power perturbationsO. P. Stepanovich 283
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