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 Ordinary Differential Equations The “freezing” method for nonlinear equationsM. I. Gil' 1291 A nonlocal boundary value problem of the first kind in a differential and a difference treatmentD. M. Dovletov 1297 An inequality of Hilbert type in a system of eigen- and associated functions of a second-order differential operator for odd and even functionsH. M. Karov 1307 Stability of functional-differential inclusionsA. A. Levakov 1312 Nonlocal boundary value problems for ordinary differential equationsYu. V. Pokornyi, K. P. Lazarev, T. M. Gareeva 1321 Frequency criteria for the stability and instability of linear periodic systemsA. V. Savkin 1332 Asymptotics of the spectral function of a discrete operatorV. A. Sadovnichii, V. V. Dubrovskii, A. V. Nagornyi 1340 A variational approach to nonresonance problems for semilinear equations in a Hilbert spaceS. A. Terziyan 1344 A singular differential equation with a small parameter in the case of a variable bounded operator coefficientV. I. Fomin 1350 Partial Differential Equations A nonlocal boundary value problem for hyperbolic-parabolic equationsG. D. Karatoprakliev 1355 The Cauchy problem for evolution equations of fractional orderA. N. Kochubei 1359 On the behavior of solutions of some semilinear elliptic and parabolic inequalitiesD. I. Kristev 1368 A mixed problem for a degenerate equation of plate oscillation typeS. P. Lavrenyuk 1375 Lower bounds on the Green function of the second mixed problem for a second-order parabolic equationA. V. Lezhnev 1383 Isolation of a generalized solution of the Cauchy problem for a system of equations of gas dynamics without convexity conditionsG. N. Pazin 1394 On the Riemann–Hilbert boundary value problem ($L_2$-theory)M. M. Sirazhudinov 1400 Optimal control of objects that can be described by quasilinear elliptic equationsM. I. Sumin 1406 On the problem of the motion of an ideal fluid in an unbounded elastic basinA. Collar 1417 Limit transitions in optimal control problems for a fourth-order operatorA. M. Khludnev 1427 Short Communications An integral representation of solutions of the Moisil–Teodorescu system with singularities in the small termsA. Abdushukurov 1436 The regularized trace of the Sturm–Liouville operatorT. G. Amangil'din 1439 A boundary value operator with a condition at infinity for third-order equationsS. A. Bespalova, Yu. A. Klokov 1441 On an estimate for the modulus of the solution of a nonlinear system of functional-differential equations of parabolic typeS. Bzhyhchy 1444 Stability of almost periodic systems with respect to some of the variablesA. O. Ignatyev 1446 Application of the normalization method to the study of the dynamics of a differential-difference equation with a small factor multiplying the derivativeS. A. Kashchenko 1448 A frequency criterion for instability in the large of nonlinear dynamical systemsM. I. Lapachugina, G. A. Leonov 1451 Decomposition in dynamic problems with mixed constraintsI. S. Litvinchev 1453 A stable method for determining pseudo-solutions of nonlinear equations with monotone operatorsI. P. Ryazantseva 1457 Generalization of the method of characteristics for a nonlocal quasilinear equationS. M. Samarina 1459 Solvability of a discrete equation of convolution type with variable coefficientsA. I. Tuzik 1462 Letters to the Editor Ïîïðàâêè ê ñòàòüå H. È. Ãàâðèëîâà: VII âñåñîþç. êîíô. «Êà÷åñòâåííàÿ òåîðèÿ äèôôåðåíöèàëüíûõ óðàâíåíèé», 3–7 àïð. 1980 ã.A. K. Gushchin, Yu. N. Drozhzhinov, V. M. Millionshchikov, V. P. Mikhailov 1465