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 Existence of an unbiased entropy estimator for the special Bernoulli measureE. A. Timofeev 521 Stability of the solutions of the simplest space-distributed discrete equationsS. A. Kashchenko 537 The impulse-refractive mode in the neural network with ring synaptic interactionM. M. Preobrazhenskaya 550 On locally convex curvesV. S. Klimov 567 On $n$-dimensional simplices satisfying inclusions $S\subset [0,1]^n\subset nS$M. V. Nevskii, A. Yu. Ukhalov 578 Asymptotic integration of certain differential equations in Banach spaceP. N. Nesterov 596 Bifurcations of spatially inhomogeneous solutions of a boundary value problem for the generalized Kuramoto–Syvashinsky equationA. V. Sekatskaya 615 Versions of the collocation and least residuals method for solving problems of mathematical physics in the convex quadrangular domainsV. A. Belyaev, V. P. Shapeev 629 A family of non-rough cycles in a system of two coupled delayed generatorsA. A. Kashchenko 649 Constructive solution of ellipticity problem for the first order differential systemsV. E. Balabaev 655