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 Review articles Generalized direct Lyapunov method for abstract semidynamic processes. I. Semidynamic processes as semidynamical systems. Localization of the limit set of autonomous and asymptotically autonomous semidynamic processesA. A. Shestakov 1475 Ordinary Differential Equations The highest $\sigma$-exponent of linear Hamiltonian systemsE. A. Barabanov, A. M. Nurmatov 1491 Periodic solutions with incommensurable periods of periodic differential systemsÈ. I. Grudo 1499 The maximum principle in a minimax problemE. I. Zheleznov 1504 Integral expansions related to Mehler–Fok transformationsN. N. Lebedev, I. P. Skal'skaja 1515 Differentiable invariant manifolds of dynamical systemsYu. A. Mitropol'skii, V. L. Kulik 1523 Attracting sets with a strong transversality condition on the boundaryS. Yu. Pilyugin 1532 Focal cyclicity of critical points of a differential systemM. N. Popa, K. S. Sibirskii 1539 Weyl discs for Jacobi block matricesV. P. Serebryakov 1545 A boundary value problem of periodic type for a second-order nonlinear ordinary differential equationB. L. Shekhter 1551 Partial Differential Equations Integral representations of solutions of first-order elliptic systems on Riemann surfacesI. A. Bikchantaev 1557 A singularly perturbed system of equations of elliptic type in the critical caseV. F. Butuzov, T. A. Urazgil'dina 1565 The structure of the fundamental solution of the Cauchy problem for a system of Maxwell equationsV. G. Romanov 1577 Stability of the existence of a global solution to the first boundary value problem for a controllable parabolic equationV. I. Sumin 1587 Differential equations in locally convex spaces and evolution pseudodifferential equationsA. Yu. Khrennikov 1596 Short Communications The comparison method and investigation of the stability of systems of ordinary differential equations containing perturbationsO. V. Anashkin, M. M. Khapaev 1604 A nonlinear equation of convolution typeS. N. Askhabov, N. K. Karapetyants, A. Ya. Yakubov 1606 A problem in the theory of second-order elliptic equations in the planeE. S. Gubanova 1609 An approach to the approximate calculation of path integrals with respect to the Gaussian measure of certain special functionalsV. P. Danilovich 1611 Differential equations that contain the products of discontinuous functions with impulsesS. T. Zavalishchin, Yu. V. Orlov 1614 Problems on the convergence of spectral expansions in eigen- and associated functions of a parabolic operatorN. Yu. Kapustin 1616 Asymptotic integration of systems of linear differential equations with coefficients having power growth ordersM. Kh. Lantsman 1618 Linear differential systems that are equivalent with respect to the generalized Lyapunov transformationS. A. Mazanik 1619 The spectrum of multigroup diffusion approximation of the neutron transport equationR. S. Makin 1623 A control problem of discontinuous dynamic systemsA. B. Pashaev 1626 On the presentation of solutions of nonlinear differential-functional equations in the neighborhood of singular pointsG. P. Pelyukh 1628 The existence of solutions of noncooperative differential gamesG. V. Tomskii 1630 Solutions of nonlinear parabolic equations describing the phenomenon of self-organizationV. A. Trenogin, I. S. Nedosekina 1631 Singular points of two-dimensional linear total differential equations with constant coefficientsB. A. Shcherbakov 1633 Freezing and averaging methods for certain systems of integro-differential equations with an integral boundary conditionKh. Eshmatov 1636 Periodic perturbations that preserve the law of dispersion of a differential operatorP. A. Kuchment 1641 Dissipativity and global stability of the Lorenz systemG. A. Leonov 1642 Construction of structures of solutions of nonstationary heat conduction problemsYu. A. Timofeev 1644 Unsteady motion of a flexible wing of infinite span in a compressible fluidB. A. Ershov 1646