Differentsial'nye Uravneniya
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 Ordinary Differential Equations Stability criteria for a class of systems of differential equationsN. E. Barabanov 371 A quasilinear boundary value problem in the case of nondegeneracy of the homogeneous problemS. A. Brykalov 374 Estimates for domains of attraction of stationary solutions of differential equations of systems of frequency synchronization. III. M. Burkin, I. S. Dzesov, G. A. Leonov 381 The optimal control method in an extremal problem in a class of solutions of the Löwner–Kufarev equationA. Yu. Vasiliev 386 Construction of the asymptotics of the solution of a singularly perturbed Cauchy problem in which the initial values of the “fast” variables are unbounded with respect to the parameterV. Ya. Glizer 393 On the existence of the $\epsilon$-$\beta$-core in dynamic games of fixed durationN. N. Danilov, G. V. Tomskii 401 The method of sectors in the proof of Lyapunov instabilityB. S. Klebanov 408 On the theory of complete controllability of linear time-dependent systemsS. A. Minyuk 414 Auxiliary and central exponents of linear systems with coefficients that are perturbed by white noiseNguyen Dinh Cong 420 Partial Differential Equations The Dirichlet problem for the Poisson equation in generalized weighted Hölder spacesE. G. Guseinov 428 The Gellerstedt problem for a parabolic-hyperbolic equation in a three-dimensional spaceT. D. Dzhuraev, Yu. P. Apakov 438 Solvability in the large of a system of reaction-diffusion equations with the balance conditionYa. I. Kanel' 448 The d'Alembert representation and the equipartition of energyI. A. Kipriyanov, L. A. Ivanov 458 On the asymptotic behavior near the boundary of the solution of a singular boundary value problem for a semilinear elliptic equationV. A. Kondratiev, V. A. Nikishkin 465 Generalized solutions of some degenerate equations of parabolic typeP. I. Mysovskikh 468 On the loss of smoothness of the solution of a mixed problem with an oblique derivative for the wave operatorS. E. Pastukhova 478 The maximum principle for systems of second-order equations of mixed typeK. B. Sabitov 488 Averaging of a system of Prandtl equationsV. N. Samokhin 495 Estimation of the growth of solutions of some quasilinear elliptic inequalitiesM. Kh. Khallaev 501 Integral Equations and Integral-Differential Solutions of a spatially inhomogeneous equation of coagulation taking into account particle breakdownP. B. Dubovski 508 Linear integral equations of the third kind in weighted $L_2$ spaces. IA. A. Kuleshov 514 On the regularization of integral equations of the first kind of Volterra typeA. Srazhidinov 521 Short Communications Symmetries and first integrals of dynamical systemsG. G. Gafarov 531 Asymptotics of the spectral function of an ordinary differential operatorV. V. Dubrovskii 533 Correct solvability of general mixed problemsYu. A. Mamedov 534 Solvability of the vector Helmholtz equation in orthogonal coordinate systemsB. N. Nefedov 537 Asymptotic behavior of singular solutions of the second Painlevé equation as $x\to\pm\infty$B. I. Suleimanov 540 A case of the integrability of the Riccati equationA. A. Vartanyan, V. A. Kulikovskiy 542 Integrating factors and limit cyclesYu. V. Malyshev, V. P. Zakharov 542 On the Cauchy problem corresponding to a linear system of differential equations with random coefficientsV. G. Zadorozhniy 545