Voskresenskii, E. V. Asymptotic equilibrium, periodic solutions, and Lyapunov’s direct method. (English. Russian original) Zbl 0979.34040 Differ. Equations 35, No. 6, 729-732 (1999); translation from Differ. Uravn. 35, No. 6, 729-732 (1999). Reviewer: Igor Bock (Bratislava) MSC: 34D20 34C10 34C25 PDFBibTeX XMLCite \textit{E. V. Voskresenskii}, Differ. Equations 35, No. 6, 729--732 (1999; Zbl 0979.34040); translation from Differ. Uravn. 35, No. 6, 729--732 (1999)
Snizhko, N. V. Direct methods for solving bisingular integral equations on Lyapunov skeletons in generalized Hölder spaces. (English. Russian original) Zbl 1026.65134 Differ. Equations 34, No. 9, 1294-1296 (1998); translation from Differ. Uravn. 34, No. 9, 1291-1292 (1998). MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{N. V. Snizhko}, Differ. Equations 34, No. 9, 1294--1296 (1998; Zbl 1026.65134); translation from Differ. Uravn. 34, No. 9, 1291--1292 (1998)
Gelig, A. Kh.; Churilov, A. N. On the stability in the whole of systems with pulse response. (English. Russian original) Zbl 0911.34049 Differ. Equations 33, No. 6, 752-756 (1997); translation from Differ. Uravn. 33, No. 6, 748-753 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 34D20 34A37 PDFBibTeX XMLCite \textit{A. Kh. Gelig} and \textit{A. N. Churilov}, Differ. Equations 33, No. 6, 752--756 (1997; Zbl 0911.34049); translation from Differ. Uravn. 33, No. 6, 748--753 (1997)
Anashkin, O. V. Averaging method in the stability theory of functional-differential equations. (English. Russian original) Zbl 0907.34057 Differ. Equations 33, No. 4, 447-456 (1997); translation from Differ. Uravn. 33, No. 4, 448-457 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 34K20 93D20 34C29 PDFBibTeX XMLCite \textit{O. V. Anashkin}, Differ. Equations 33, No. 4, 447--456 (1997; Zbl 0907.34057); translation from Differ. Uravn. 33, No. 4, 448--457 (1997)
Kolmanovskij, V. B.; Tikhonov, A. V. Stability in probability of the Volterra-Lotka system. (English. Russian original) Zbl 0897.34068 Differ. Equations 32, No. 11, 1477-1484 (1996); translation from Differ. Uravn. 32, No. 11, 1480-1487 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 34K50 93E15 92D25 PDFBibTeX XMLCite \textit{V. B. Kolmanovskij} and \textit{A. V. Tikhonov}, Differ. Equations 32, No. 11, 1 (1996; Zbl 0897.34068); translation from Differ. Uravn. 32, No. 11, 1480--1487 (1996)
Plotnikov, V. A.; Plotnikova, L. I. Averaging of quasidifferential equations in metric spaces. (English. Russian original) Zbl 0866.34039 Differ. Equations 31, No. 10, 1633-1638 (1995); translation from Differ. Uravn. 31, No. 10, 1669-1674 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 34C29 93D05 PDFBibTeX XMLCite \textit{V. A. Plotnikov} and \textit{L. I. Plotnikova}, Differ. Equations 31, No. 10, 1 (1995; Zbl 0866.34039); translation from Differ. Uravn. 31, No. 10, 1669--1674 (1995)
Khusainov, D. Ya.; Shevelenko, E. E. Stability of rational delay differential systems. (English. Russian original) Zbl 0852.34070 Differ. Equations 31, No. 1, 165-169 (1995); translation from Differ. Uravn. 31, No. 1, 175-177 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 34K20 PDFBibTeX XMLCite \textit{D. Ya. Khusainov} and \textit{E. E. Shevelenko}, Differ. Equations 31, No. 1, 165--169 (1995; Zbl 0852.34070); translation from Differ. Uravn. 31, No. 1, 175--177 (1995)
Starozhilov, E. F. Stability in the critical case of a unique unit root for continuous discrete systems. (English. Russian original) Zbl 0852.34071 Differ. Equations 31, No. 5, 719-726 (1995); translation from Differ. Uravn. 31, No. 5, 778-785 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 34K20 39A11 34A37 PDFBibTeX XMLCite \textit{E. F. Starozhilov}, Differ. Equations 31, No. 5, 719--726 (1995; Zbl 0852.34071); translation from Differ. Uravn. 31, No. 5, 778--785 (1995)
Popova, S. N.; Tonkov, E. L. Control of the Lyapunov exponents of consistent systems. II. (English. Russian original) Zbl 0852.93080 Differ. Equations 30, No. 11, 1800-1807 (1994); translation from Differ. Uravn. 30, No. 11, 1949-1957 (1994). Reviewer: V.Chernyatin (Szczecin) MSC: 93D20 93C05 34D08 PDFBibTeX XMLCite \textit{S. N. Popova} and \textit{E. L. Tonkov}, Differ. Equations 30, No. 11, 1800--1807 (1994; Zbl 0852.93080); translation from Differ. Uravn. 30, No. 11, 1949--1957 (1994)
Potapov, V. D. Stochastic stability of the zero solution to a system of differential equations with random coefficients. (English. Russian original) Zbl 0854.93143 Differ. Equations 30, No. 5, 712-716 (1994); translation from Differ. Uravn. 30, No. 5, 776-780 (1994). Reviewer: V.Chernyatin (Szczecin) MSC: 93E15 60H10 34F05 47G20 PDFBibTeX XMLCite \textit{V. D. Potapov}, Differ. Equations 30, No. 5, 712--716 (1994; Zbl 0854.93143); translation from Differ. Uravn. 30, No. 5, 776--780 (1994)
Aisagaliev, S. A. Absolute stability in controlled systems. (English. Russian original) Zbl 0854.93118 Differ. Equations 30, No. 5, 687-695 (1994); translation from Differ. Uravn. 30, No. 5, 748-757 (1994). Reviewer: V.Chernyatin (Szczecin) MSC: 93D10 34D20 PDFBibTeX XMLCite \textit{S. A. Aisagaliev}, Differ. Equations 30, No. 5, 687--695 (1994; Zbl 0854.93118); translation from Differ. Uravn. 30, No. 5, 748--757 (1994)
Izobov, N. A. Studies in Belorussia in the theory of characteristic Lyapunov exponents and its applications. (English. Russian original) Zbl 0824.34056 Differ. Equations 29, No. 12, 1771-1788 (1993); translation from Differ. Uravn. 29, No. 12, 2034-2055 (1993). Reviewer: V.Chernyatin (Szczecin) MSC: 34D08 34-03 01A72 34-02 93D05 34A30 34D05 PDFBibTeX XMLCite \textit{N. A. Izobov}, Differ. Equations 29, No. 12, 1 (1993; Zbl 0824.34056); translation from Differ. Uravn. 29, No. 12, 2034--2055 (1993)
Blyagoz, Z. U.; Teshev, V. A. A frequency test for stability in the large of periodic solutions of nonlinear nonautonomous systems. (English. Russian original) Zbl 0834.34056 Differ. Equations 28, No. 6, 737-741 (1992); translation from Differ. Uravn. 28, No. 6, 925-930 (1992). Reviewer: J.Andres (MR 93j:34076) MSC: 34D20 34D99 34C25 PDFBibTeX XMLCite \textit{Z. U. Blyagoz} and \textit{V. A. Teshev}, Differ. Equations 28, No. 6, 737--741 (1992; Zbl 0834.34056); translation from Differ. Uravn. 28, No. 6, 925--930 (1992)
Medvedeva, M. G. Stability investigation of systems with invariant toroidal manifolds. (English. Russian original) Zbl 0801.34051 Differ. Equations 28, No. 12, 1810-1812 (1992); translation from Differ. Uravn. 28, No. 12, 2169-2172 (1992). MSC: 34D10 34C30 34D20 PDFBibTeX XMLCite \textit{M. G. Medvedeva}, Differ. Equations 28, No. 12, 2169--2172 (1992; Zbl 0801.34051); translation from Differ. Uravn. 28, No. 12, 2169--2172 (1992)
Kolmanovskij, V. B. On the stability of a chemostat. (English. Russian original) Zbl 0802.34084 Differ. Equations 28, No. 11, 1565-1568 (1992); translation from Differ. Uravn. 28, No. 11, 1915-1918 (1992). MSC: 34K20 92D25 PDFBibTeX XMLCite \textit{V. B. Kolmanovskij}, Differ. Equations 28, No. 11, 1915--1918 (1992; Zbl 0802.34084); translation from Differ. Uravn. 28, No. 11, 1915--1918 (1992)
Strogaya, G. V. Stability with respect to some of the variables of systems splitting in the absence of perturbations. (English. Russian original) Zbl 0764.34041 Differ. Equations 26, No. 11, 1455-1460 (1990); translation from Differ. Uravn. 26, No. 11, 1949-1955 (1990). Reviewer: E.Chukwu (Raleigh) MSC: 34D20 34D10 34C29 PDFBibTeX XMLCite \textit{G. V. Strogaya}, Differ. Equations 26, No. 11, 1455--1460 (1990; Zbl 0764.34041); translation from Differ. Uravn. 26, No. 11, 1949--1955 (1990)
Matrosov, V. M. Nonlinear analysis of the dynamics and control of complicated systems with distributed parameters. (English. Russian original) Zbl 0725.93054 Differ. Equations 26, No. 11, 1359-1373 (1990); translation from Differ. Uravn. 26, No. 11, 1843-1859 (1990). Reviewer: O.I.Nikonov (Sverdlovsk) MSC: 93C20 93D05 93B05 PDFBibTeX XMLCite \textit{V. M. Matrosov}, Differ. Equations 26, No. 11, 1359--1373 (1990; Zbl 0725.93054); translation from Differ. Uravn. 26, No. 11, 1843--1859 (1990)
Fal’ko, N. S. Application of the Lyapunov-function method in a Poisson-stability problem. (English. Russian original) Zbl 0729.34033 Differ. Equations 25, No. 3, 309-314 (1989); translation from Differ. Uravn. 25, No. 3, 446-452 (1989). Reviewer: V.Sree Hari Rao (Hyderabad) MSC: 34D20 PDFBibTeX XMLCite \textit{N. S. Fal'ko}, Differ. Equations 25, No. 3, 309--314 (1989; Zbl 0729.34033); translation from Differ. Uravn. 25, No. 3, 446--452 (1989)
Knyazhishche, L. B.; Raptunovich, N. A. Partial localization of limit sets and the asymptotic stability of nonautonomous equations. I. (English. Russian original) Zbl 0702.34049 Differ. Equations 25, No. 3, 261-270 (1989); translation from Differ. Uravn. 25, No. 3, 388-400 (1989). MSC: 34D20 34C05 PDFBibTeX XMLCite \textit{L. B. Knyazhishche} and \textit{N. A. Raptunovich}, Differ. Equations 25, No. 3, 261--270 (1989; Zbl 0702.34049); translation from Differ. Uravn. 25, No. 3, 388--400 (1989)
Zolotarevskij, V. A. Reduction method for the approximate solution of systems of singular integral equations with vanishing symbols on a closed Lyapunov contour. (English. Russian original) Zbl 0693.65095 Differ. Equations 25, No. 5, 640-644 (1989); translation from Differ. Uravn. 25, No. 5, 884-888 (1989). MSC: 65R20 45F15 PDFBibTeX XMLCite \textit{V. A. Zolotarevskij}, Differ. Equations 25, No. 5, 640--644 (1989; Zbl 0693.65095); translation from Differ. Uravn. 25, No. 5, 884--888 (1989)
Grudo, Eh. I.; Lasyj, P. G. Determination of characteristic vectors of functions of several variables and stability with respect to a first approximation. (English. Russian original) Zbl 0674.34054 Differ. Equations 24, No. 3, 269-273 (1988); translation from Differ. Uravn. 24, No. 3, 389-393 (1988). Reviewer: M.Tvrdý MSC: 34E20 26B99 PDFBibTeX XMLCite \textit{Eh. I. Grudo} and \textit{P. G. Lasyj}, Differ. Equations 24, No. 3, 269--273 (1988; Zbl 0674.34054); translation from Differ. Uravn. 24, No. 3, 389--393 (1988)
Lifanov, I. K. A singular integral equation of the first kind for a Neumann problem. (English. Russian original) Zbl 0664.31006 Differ. Equations 24, No. 1, 87-91 (1988); translation from Differ. Uravn. 24, No. 1, 110-115 (1988). Reviewer: A.Kratochvíl MSC: 31B20 31B10 35C05 45E05 PDFBibTeX XMLCite \textit{I. K. Lifanov}, Differ. Equations 24, No. 1, 87--91 (1988; Zbl 0664.31006); translation from Differ. Uravn. 24, No. 1, 110--115 (1988)
Mal’kov, K. V.; Khapaev, M. M. Methods in perturbation theory related to averaging. (English. Russian original) Zbl 0714.34089 Differ. Equations 23, No. 10, 1152-1161 (1987); translation from Differ. Uravn. 23, No. 10, 1693-1704 (1987). MSC: 34E15 34D15 76L05 PDFBibTeX XMLCite \textit{K. V. Mal'kov} and \textit{M. M. Khapaev}, Differ. Equations 23, No. 10, 1152--1161 (1987; Zbl 0714.34089); translation from Differ. Uravn. 23, No. 10, 1693--1704 (1987)
Shestakov, A. A. Generalized direct Lyapunov method for abstract semidynamical processes. III. Localization of limit sets of compact dispersive semidynamical processes. Applications to evolution equations. (English. Russian original) Zbl 0655.34048 Differ. Equations 23, No. 6, 611-622 (1987); translation from Differ. Uravn. 23, No. 6, 923-936 (1987). MSC: 34D20 37-XX 35G10 35K25 PDFBibTeX XMLCite \textit{A. A. Shestakov}, Differ. Equations 23, No. 6, 611--622 (1987; Zbl 0655.34048); translation from Differ. Uravn. 23, No. 6, 923--936 (1987)
Shestakov, A. A. Generalized direct Lyapunov method for abstract semidynamical processes. II. Localization of limit sets of compact semidynamical processes. Applications to partial differential equations. (English. Russian original) Zbl 0655.34047 Differ. Equations 23, No. 3, 253-266 (1987); translation from Differ. Uravn. 23, No. 3, 371-387 (1987). MSC: 34D20 37-XX 35G10 35K25 PDFBibTeX XMLCite \textit{A. A. Shestakov}, Differ. Equations 23, No. 3, 253--266 (1987; Zbl 0655.34047); translation from Differ. Uravn. 23, No. 3, 371--387 (1987)
Zolotarevskij, V. A. Reduction method for the solution of complete singular integral equations on a Lyapunov contour. (English. Russian original) Zbl 0637.65137 Differ. Equations 23, No. 8, 974-979 (1987); translation from Differ Uravn. 23, No. 8, 1416-1422 (1987). Reviewer: R.Fahrion MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{V. A. Zolotarevskij}, Differ. Equations 23, No. 8, 974--979 (1987; Zbl 0637.65137); translation from Differ Uravn. 23, No. 8, 1416--1422 (1987)
Kalitin, B. S. Comparison method for a stability problem for periodic systems. (English. Russian original) Zbl 0633.34045 Differ. Equations 23, No. 3, 295-299 (1987); translation from Differ. Uravn. 23, No. 3, 423-428 (1987). Reviewer: C.Coleman MSC: 34D20 PDFBibTeX XMLCite \textit{B. S. Kalitin}, Differ. Equations 23, No. 3, 295--299 (1987; Zbl 0633.34045); translation from Differ. Uravn. 23, No. 3, 423--428 (1987)
Sergeev, V. S. Stability of solutions for a class of integrodifferential equations. (English. Russian original) Zbl 0662.45005 Differ. Equations 22, 385-389 (1986); translation from Differ. Uravn. 22, No. 3, 518-523 (1986). MSC: 45J05 45G10 45M10 PDFBibTeX XMLCite \textit{V. S. Sergeev}, Differ. Equations 22, 385--389 (1986; Zbl 0662.45005); translation from Differ. Uravn. 22, No. 3, 518--523 (1986)
Khapaev, M. M.; Mal’kov, K. V. A class of methods of investigating the asymptotic behavior of solutions of differential equations with closed operators. (English. Russian original) Zbl 0624.34057 Differ. Equations 22, 189-199 (1986); translation from Differ. Uravn. 22, No. 2, 255-263 (1986). Reviewer: V.Maric MSC: 34G10 34D20 PDFBibTeX XMLCite \textit{M. M. Khapaev} and \textit{K. V. Mal'kov}, Differ. Equations 22, 189--199 (1986; Zbl 0624.34057); translation from Differ. Uravn. 22, No. 2, 255--263 (1986)
Khapaev, M. M. Generalization of Lyapunov’s second method and an investigation of stability of applied problems. (English. Russian original) Zbl 0621.34042 Differ. Equations 21, 1166-1168 (1985); translation from Differ. Uravn. 21, No. 10, 1730-1733 (1985). Reviewer: S.G.Zhuravlev MSC: 34D20 PDFBibTeX XMLCite \textit{M. M. Khapaev}, Differ. Equations 21, 1166--1168 (1985; Zbl 0621.34042); translation from Differ. Uravn. 21, No. 10, 1730--1733 (1985)
Petrovskij, G. N. Some results concerning Lyapunov’s second method for quasiflows. (English) Zbl 0617.54035 Differ. Equations 21, 540-543 (1985). MSC: 54H20 37-XX PDFBibTeX XMLCite \textit{G. N. Petrovskij}, Differ. Equations 21, 540--543 (1985; Zbl 0617.54035)
Kim, A. V. Lyapunov’s second method for systems with aftereffect. (English) Zbl 0611.34077 Differ. Equations 21, 244-249 (1985). MSC: 34K20 34D20 PDFBibTeX XMLCite \textit{A. V. Kim}, Differ. Equations 21, 244--249 (1985; Zbl 0611.34077)
Grudo, Eh. I. Stability of completely integrable homogeneous linear Pfaffian systems. (English. Russian original) Zbl 0561.34033 Differ. Equations 20, 1305-1312 (1984); translation from Differ. Uravn. 20, No. 11, 1843-1852 (1984). Reviewer: V.Sobolev MSC: 34D20 PDFBibTeX XMLCite \textit{Eh. I. Grudo}, Differ. Equations 20, 1305--1312 (1984; Zbl 0561.34033); translation from Differ. Uravn. 20, No. 11, 1843--1852 (1984)
Zolotarevskij, V. A.; Sejchuk, V. N. A collocation method of solving singular integral equations along a Lyapunov contour. (English. Russian original) Zbl 0533.65085 Differ. Equations 19, 792-800 (1983); translation from Differ. Uravn. 19, No. 6, 1056-1064 (1983). Reviewer: M.Schleiff MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{V. A. Zolotarevskij} and \textit{V. N. Sejchuk}, Differ. Equations 19, 792--800 (1983; Zbl 0533.65085); translation from Differ. Uravn. 19, No. 6, 1056--1064 (1983)
Zhevnyak, A. V. Stability of nonlinear systems. I: Radially monotonically increasing Lyapunov functions and stability of singular points of dynamical systems. (English. Russian original) Zbl 0533.34041 Differ. Equations 19, 691-701 (1983); translation from Differ. Uravn. 19, No. 6, 954-964 (1983). Reviewer: L.Hatvani MSC: 34D20 34D05 PDFBibTeX XMLCite \textit{A. V. Zhevnyak}, Differ. Equations 19, 691--701 (1983; Zbl 0533.34041); translation from Differ. Uravn. 19, No. 6, 954--964 (1983)
Rumyantsev, V. V. The development of motion-stability theory in the USSR. (English. Russian original) Zbl 0528.34053 Differ. Equations 19, 517-548 (1983); translation from Differ. Uravn. 19, No. 5, 739-776 (1983). MSC: 34D20 34-02 34D10 34D05 PDFBibTeX XMLCite \textit{V. V. Rumyantsev}, Differ. Equations 19, 517--548 (1983; Zbl 0528.34053); translation from Differ. Uravn. 19, No. 5, 739--776 (1983)
Lavrent’ev, M. M. jun. A priori estimates of solutions of nonlinear parabolic equations. (English. Russian original) Zbl 0595.35060 Differ. Equations 18, 629-637 (1982); translation from Differ. Uravn. 18, 868-877 (1982). MSC: 35K20 35B45 35A99 PDFBibTeX XMLCite \textit{M. M. Lavrent'ev jun.}, Differ. Equations 18, 629--637 (1982; Zbl 0595.35060); translation from Differ. Uravn. 18, 868--877 (1982)
Veremenyuk, V. V. A criterion for the upper semicontinuity of the i-th Lyapunov index of a linear Hamiltonian differential-equation system. (English. Russian original) Zbl 0514.34005 Differ. Equations 18, 279-289 (1982); translation from Differ. Uravn. 18, 371-383 (1982). MSC: 34A30 70H05 34A99 PDFBibTeX XMLCite \textit{V. V. Veremenyuk}, Differ. Equations 18, 279--289 (1982; Zbl 0514.34005); translation from Differ. Uravn. 18, 371--383 (1982)
Kirin, N. E.; Nelepin, R. A.; Bajdaev, V. N. Construction of the attraction region by Zubov’s method. (English. Russian original) Zbl 0486.34045 Differ. Equations 17, 871-880 (1982); translation from Differ. Uravn. 17, 1347-1361 (1981). MSC: 34D20 65L07 34D05 PDFBibTeX XMLCite \textit{N. E. Kirin} et al., Differ. Equations 17, 871--880 (1982; Zbl 0486.34045); translation from Differ. Uravn. 17, 1347--1361 (1981)
Falin, A. I. Investigation of the stability of weakly nonautonomous systems by the averaging method. (English) Zbl 0467.34036 Differ. Equations 16, 159-164 (1980). MSC: 34C29 34D20 PDFBibTeX XMLCite \textit{A. I. Falin}, Differ. Equations 16, 159--164 (1980; Zbl 0467.34036)
Grudo, Eh. I. Analogs of fundamental theorems concerning the first Lyapunov method for Pfaffian systems. (English) Zbl 0467.35002 Differ. Equations 15, 409-416 (1979). MSC: 35A20 34D20 35C10 PDFBibTeX XMLCite \textit{Eh. I. Grudo}, Differ. Equations 15, 409--416 (1979; Zbl 0467.35002)
Smirnov, E. Ya. Properties arising in the relay stabilization of stable oscillations. (English) Zbl 0436.34045 Differ. Equations 15, 812-814 (1979). MSC: 34D20 93D99 34C10 PDFBibTeX XMLCite \textit{E. Ya. Smirnov}, Differ. Equations 15, 812--814 (1979; Zbl 0436.34045)
Fodor, Ya. A sufficient condition for first-approximation \(L^p\)-stability. (English) Zbl 0409.34047 Differ. Equations 14, 533-536 (1978). MSC: 34D10 34D99 PDFBibTeX XMLCite \textit{Ya. Fodor}, Differ. Equations 14, 533--536 (1978; Zbl 0409.34047)