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Martynyuk, A A
Statistics Math-Net.Ru
Total publications: 38
Scientific articles: 33

Number of views:
This page:3457
Abstract pages:5088
Full texts:1572
References:53
academiсian of National Academy of Sciences of Ukraine
Professor
Doctor of physico-mathematical sciences

https://www.mathnet.ru/eng/person78914
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:martynyuk.anatoly-a

Publications in Math-Net.Ru Citations
2013
1. A. A. Martynyuk, A. S. Khoroshun, “On parametric instability of singularly perturbed systems”, Avtomat. i Telemekh., 2013, no. 1,  59–78  mathnet; Autom. Remote Control, 74:1 (2013), 46–61  isi  scopus
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  mathnet  mathscinet; Differ. Equ., 42:10 (2006), 1391–1403
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  mathnet  mathscinet; Differ. Equ., 39:6 (2003), 791–796 3
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  mathnet  mathscinet  zmath
5. A. A. Martynyuk, “On an application of limit equations”, Dokl. Akad. Nauk, 353:1 (1997),  20–22  mathnet  mathscinet  zmath
1994
6. A. A. Martynyuk, “On some applications of the contraction principle”, Dokl. Akad. Nauk, 339:3 (1994),  304–306  mathnet  mathscinet  zmath; 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  mathnet  mathscinet  zmath; 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  mathnet  mathscinet  zmath; Dokl. Math., 50:2 (1995), 330–334
9. A. A. Martynyuk, “Exponential multistability of separating motions”, Dokl. Akad. Nauk, 336:4 (1994),  446–447  mathnet  mathscinet  zmath; Dokl. Math., 49:3 (1994), 528–531
1993
10. A. A. Martynyuk, “Exponential stability with respect to some of the variables”, Dokl. Akad. Nauk, 331:1 (1993),  17–19  mathnet  mathscinet  zmath; 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  mathnet  mathscinet; Dokl. Math., 47:2 (1993), 294–297
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  mathnet  mathscinet  zmath; Dokl. Math., 45:3 (1992), 533–536 1
1991
13. A. A. Martynyuk, “A new direction in the method of matrix Lyapunov functions”, Dokl. Akad. Nauk SSSR, 319:3 (1991),  554–557  mathnet  mathscinet  zmath; Dokl. Math., 44:1 (1992), 157–160
14. A. A. Martynyuk, “A theorem on polystability”, Dokl. Akad. Nauk SSSR, 318:4 (1991),  808–811  mathnet  mathscinet  zmath; 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  mathnet  mathscinet  zmath; Dokl. Math., 43:2 (1991), 591–594
1989
16. A. A. Martynyuk, “The Lyapunov hierarchical matrix function and stability under structural perturbations”, Dokl. Akad. Nauk SSSR, 305:1 (1989),  41–44  mathnet  mathscinet  zmath; Dokl. Math., 39:2 (1989), 260–263
1988
17. A. A. Martynyuk, “A stochastic matrix Lyapunov function and its application”, Dokl. Akad. Nauk SSSR, 299:1 (1988),  46–49  mathnet  mathscinet  zmath; 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  mathnet  mathscinet; Differ. Equ., 24:3 (1988), 291–298
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  mathnet  mathscinet  zmath
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  mathnet  mathscinet  zmath
1985
21. A. A. Martynyuk, “On the Lyapunov matrix-function and stability of motions”, Dokl. Akad. Nauk SSSR, 280:5 (1985),  1062–1066  mathnet  mathscinet  zmath
1984
22. A. A. Martynyuk, “The inclusion principle for standard systems”, Dokl. Akad. Nauk SSSR, 276:1 (1984),  34–37  mathnet  mathscinet  zmath 1
1982
23. A. A. Martynyuk, “On the stability of motions in nonlinear mechanics”, Dokl. Akad. Nauk SSSR, 264:5 (1982),  1073–1077  mathnet  mathscinet  zmath
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  mathnet  mathscinet  zmath
25. A. A. Martynyuk, “The comparison method in a problem on the continuous dependence on the parameter”, Differ. Uravn., 18:12 (1982),  2188–2190  mathnet  mathscinet  zmath
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  mathnet  mathscinet  zmath
27. A. A. Martynyuk, A. Yu. Obolenskii, “Stability of the solutions of autonomous Ważewski systems”, Differ. Uravn., 16:8 (1980),  1392–1407  mathnet  mathscinet 8
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  mathnet  mathscinet  zmath
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  mathnet  mathscinet  zmath
30. A. A. Martynyuk, A. Yu. Obolenskii, “A Poincaré-Schur algorithm in stability theory”, Differ. Uravn., 14:11 (1978),  1980–1989  mathnet  mathscinet  zmath
1972
31. A. A. Martynyuk, “Über die Approximation der Lösungen von linearen Gleichungen im Banachraum”, Differ. Uravn., 8:11 (1972),  1988–1993  mathnet  zmath
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  mathnet  mathscinet  zmath
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  mathnet  mathscinet  zmath
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  mathnet  mathscinet  zmath; Differ. Equ., 46:1 (2010), 1–7 1
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  mathnet  mathscinet; Differ. Equ., 36:1 (2000), 1–11 1
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  mathnet  mathscinet; Differ. Equ., 33:1 (1997), 1–3
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  mathnet
1984
38. A. A. Martynyuk, “Correction: “The inclusion principle for standard systems””, Dokl. Akad. Nauk SSSR, 278:1 (1984),  10  mathnet  mathscinet

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