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Publications in Math-Net.Ru |
Citations |
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2013 |
1. |
A. A. Martynyuk, A. S. Khoroshun, “On parametric instability of singularly perturbed systems”, Avtomat. i Telemekh., 2013, no. 1, 59–78 ; Autom. Remote Control, 74:1 (2013), 46–61 |
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2006 |
2. |
A. A. Martynyuk, V. I. Slyn'ko, “On the global existence of solutions of fuzzy differential equations”, Differ. Uravn., 42:10 (2006), 1324–1336 ; Differ. Equ., 42:10 (2006), 1391–1403 |
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2003 |
3. |
A. A. Martynyuk, V. I. Slyn'ko, “On the Stability of Motion of a Large-Scale System”, Differ. Uravn., 39:6 (2003), 754–758 ; Differ. Equ., 39:6 (2003), 791–796 |
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1997 |
4. |
A. A. Martynyuk, “On the boundedness with respect to two measures of solutions of
replicator equations”, Dokl. Akad. Nauk, 353:2 (1997), 155–157 |
5. |
A. A. Martynyuk, “On an application of limit equations”, Dokl. Akad. Nauk, 353:1 (1997), 20–22 |
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1994 |
6. |
A. A. Martynyuk, “On some applications of the contraction principle”, Dokl. Akad. Nauk, 339:3 (1994), 304–306 ; Dokl. Math., 50:3 (1995), 427–431 |
7. |
A. A. Martynyuk, “On a generalization of Richardson's model of the arms race”, Dokl. Akad. Nauk, 339:1 (1994), 15–17 ; Dokl. Math., 50:3 (1995), 366–369 |
8. |
A. A. Martynyuk, “Lyapunov matrix functions and stability with respect to measures
of impulsive systems”, Dokl. Akad. Nauk, 338:6 (1994), 728–730 ; Dokl. Math., 50:2 (1995), 330–334 |
9. |
A. A. Martynyuk, “Exponential multistability of separating motions”, Dokl. Akad. Nauk, 336:4 (1994), 446–447 ; Dokl. Math., 49:3 (1994), 528–531 |
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1993 |
10. |
A. A. Martynyuk, “Exponential stability with respect to some of the variables”, Dokl. Akad. Nauk, 331:1 (1993), 17–19 ; Dokl. Math., 48:1 (1994), 17–20 |
11. |
G. Fridman, A. A. Martynyuk, “On the stability with respect to two measures of A. N.
Kolmogorov's mathematical models of population dynamics”, Dokl. Akad. Nauk, 329:4 (1993), 423–425 ; Dokl. Math., 47:2 (1993), 294–297 |
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1992 |
12. |
A. A. Martynyuk, “On the polystability of motion with respect to some of the
variables”, Dokl. Akad. Nauk, 324:1 (1992), 39–41 ; Dokl. Math., 45:3 (1992), 533–536 |
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1991 |
13. |
A. A. Martynyuk, “A new direction in the method of matrix Lyapunov functions”, Dokl. Akad. Nauk SSSR, 319:3 (1991), 554–557 ; Dokl. Math., 44:1 (1992), 157–160 |
14. |
A. A. Martynyuk, “A theorem on polystability”, Dokl. Akad. Nauk SSSR, 318:4 (1991), 808–811 ; Dokl. Math., 43:3 (1991), 775–778 |
15. |
A. A. Martynyuk, “Boundedness of solutions of nonlinear systems with small
perturbations”, Dokl. Akad. Nauk SSSR, 317:5 (1991), 1055–1058 ; Dokl. Math., 43:2 (1991), 591–594 |
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1989 |
16. |
A. A. Martynyuk, “The Lyapunov hierarchical matrix function and stability under
structural perturbations”, Dokl. Akad. Nauk SSSR, 305:1 (1989), 41–44 ; Dokl. Math., 39:2 (1989), 260–263 |
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1988 |
17. |
A. A. Martynyuk, “A stochastic matrix Lyapunov function and its application”, Dokl. Akad. Nauk SSSR, 299:1 (1988), 46–49 ; Dokl. Math., 37:2 (1988), 334–337 |
18. |
A. A. Martynyuk, V. G. Miladzhanov, “Investigation of the stability of autonomous singularly perturbed systems on the basis of matrix Lyapunov functions”, Differ. Uravn., 24:3 (1988), 416–424 ; Differ. Equ., 24:3 (1988), 291–298 |
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1986 |
19. |
A. A. Martynyuk, “Uniform asymptotic stability of a singularly perturbed system
based on the Lyapunov matrix-function”, Dokl. Akad. Nauk SSSR, 287:4 (1986), 786–789 |
20. |
Yu. A. Mitropol'skii, C. Lila, A. A. Martynyuk, “Some trends in V. Lakshmikantham's investigations in the theory of differential equations and their applications”, Differ. Uravn., 22:4 (1986), 555–572 |
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1985 |
21. |
A. A. Martynyuk, “On the Lyapunov matrix-function and stability of motions”, Dokl. Akad. Nauk SSSR, 280:5 (1985), 1062–1066 |
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1984 |
22. |
A. A. Martynyuk, “The inclusion principle for standard systems”, Dokl. Akad. Nauk SSSR, 276:1 (1984), 34–37 |
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1982 |
23. |
A. A. Martynyuk, “On the stability of motions in nonlinear mechanics”, Dokl. Akad. Nauk SSSR, 264:5 (1982), 1073–1077 |
24. |
A. A. Martynyuk, “The averaging method and optimal stabilization of the motions of nonlinear systems”, Dokl. Akad. Nauk SSSR, 263:5 (1982), 1054–1057 |
25. |
A. A. Martynyuk, “The comparison method in a problem on the continuous dependence on the parameter”, Differ. Uravn., 18:12 (1982), 2188–2190 |
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1980 |
26. |
A. A. Martynyuk, “The comparison principle and averaging in systems with fast and slow motions”, Dokl. Akad. Nauk SSSR, 253:6 (1980), 1307–1310 |
27. |
A. A. Martynyuk, A. Yu. Obolenskii, “Stability of the solutions of autonomous Ważewski systems”, Differ. Uravn., 16:8 (1980), 1392–1407 |
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1979 |
28. |
A. A. Martynyuk, “A generalization of the second theorem of N. N. Bogolyubov's averaging principle”, Dokl. Akad. Nauk SSSR, 249:1 (1979), 46–48 |
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1978 |
29. |
A. A. Martynyuk, “On a theorem of the type of Bogolyubov's first averaging theorem”, Dokl. Akad. Nauk SSSR, 241:2 (1978), 279–281 |
30. |
A. A. Martynyuk, A. Yu. Obolenskii, “A Poincaré-Schur algorithm in stability theory”, Differ. Uravn., 14:11 (1978), 1980–1989 |
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1972 |
31. |
A. A. Martynyuk, “Über die Approximation der Lösungen von linearen Gleichungen im Banachraum”, Differ. Uravn., 8:11 (1972), 1988–1993 |
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1970 |
32. |
A. A. Martynyuk, I. G. Kozubovskaya, “The stability of controlled motion with aftereffect along a given trajectory”, Differ. Uravn., 6:11 (1970), 2096–2098 |
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1968 |
33. |
N. F. Kirichenko, A. A. Martynyuk, “Probability estimates of solutions of a linear system of differential equations with random coefficients”, Differ. Uravn., 4:4 (1968), 664–667 |
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2010 |
34. |
A. V. Arutyunov, Yu. N. Bibikov, F. P. Vasil'ev, I. V. Gaishun, S. V. Emel'yanov, V. A. Il'in, I. T. Kiguradze, S. K. Korovin, L. D. Kudryavtsev, A. B. Kurzhanskii, S. A. Mazanik, E. K. Makarov, A. A. Martynyuk, E. F. Mishchenko, E. I. Moiseev, Yu. S. Osipov, V. A. Pliss, N. Kh. Rozov, V. A. Sadovnichy, A. M. Samoilenko, T. K. Shemjakina, “Nikolai Alekseevich Izobov (A tribute in honor of his 70th birthday)”, Differ. Uravn., 46:1 (2010), 3–8 ; Differ. Equ., 46:1 (2010), 1–7 |
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2000 |
35. |
V. N. Abrashin, I. V. Gaishun, V. A. Il'in, I. T. Kiguradze, S. K. Korovin, L. D. Kudryavtsev, A. B. Kurzhanskii, A. A. Martynyuk, V. M. Millionshchikov, Yu. A. Mitropol'skii, V. A. Pliss, N. Kh. Rozov, A. A. Samarskii, A. M. Samoilenko, T. K. Shemjakina, “Nikolai Alekseevich Izobov”, Differ. Uravn., 36:1 (2000), 3–11 ; Differ. Equ., 36:1 (2000), 1–11 |
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1997 |
36. |
V. A. Il'in, N. A. Izobov, A. A. Martynyuk, A. M. Samoilenko, “Yuriǐ Alekseevich Mitropol'skiǐ (on the occasion of his eightieth birthday)”, Differ. Uravn., 33:1 (1997), 3–5 ; Differ. Equ., 33:1 (1997), 1–3 |
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1985 |
37. |
A. A. Martynyuk, V. V. Rumyantsev, “Коллоквиум по качественной теории дифференциальных уравнений
(27–31 августа 1984 г., Сегед, Венгрия)”, Differ. Uravn., 21:10 (1985), 1829–1832 |
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1984 |
38. |
A. A. Martynyuk, “Correction: “The inclusion principle for standard systems””, Dokl. Akad. Nauk SSSR, 278:1 (1984), 10 |
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Organisations |
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