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Publications in Math-Net.Ru |
Citations |
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2017 |
1. |
V. E. Slyusarchuk, “Necessary and sufficient conditions for the existence and uniqueness of a bounded solution of the equation $\dfrac{dx(t)}{dt}=f(x(t)+h_1(t))+h_2(t)$”, Mat. Sb., 208:2 (2017), 88–103 ; Sb. Math., 208:2 (2017), 255–268 |
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2. |
V. E. Slyusarchuk, “To Favard's theory for functional equations”, Sibirsk. Mat. Zh., 58:1 (2017), 206–218 ; Siberian Math. J., 58:1 (2017), 159–168 |
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2016 |
3. |
V. E. Slyusarchuk, “Almost-periodic solutions of discrete equations”, Izv. RAN. Ser. Mat., 80:2 (2016), 125–138 ; Izv. Math., 80:2 (2016), 403–416 |
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2015 |
4. |
V. E. Slyusarchuk, “Conditions for the Existence of Almost-Periodic Solutions of Nonlinear Difference Equations in Banach Space”, Mat. Zametki, 97:2 (2015), 277–285 ; Math. Notes, 97:2 (2015), 268–274 |
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2014 |
5. |
V. E. Slyusarchuk, “Conditions for almost periodicity of bounded solutions of non-linear differential-difference equations”, Izv. RAN. Ser. Mat., 78:6 (2014), 179–192 ; Izv. Math., 78:6 (2014), 1232–1243 |
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6. |
V. E. Slyusarchuk, “The study of nonlinear almost periodic differential equations without recourse to the $\mathscr H$-classes of these equations”, Mat. Sb., 205:6 (2014), 139–160 ; Sb. Math., 205:6 (2014), 892–911 |
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2012 |
7. |
V. E. Slyusarchuk, “Bounded and periodic solutions of nonlinear functional differential equations”, Mat. Sb., 203:5 (2012), 135–160 ; Sb. Math., 203:5 (2012), 743–767 |
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2011 |
8. |
V. E. Slyusarchuk, “Necessary and Sufficient Conditions for the Existence and $\varepsilon$-Uniqueness of Bounded Solutions of the Equation $x'=f(x)-h(t)$”, Mat. Zametki, 90:1 (2011), 137–142 ; Math. Notes, 90:1 (2011), 136–141 |
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2010 |
9. |
V. E. Slyusarchuk, “The method of local linear approximation in the theory of nonlinear functional-differential equations”, Mat. Sb., 201:8 (2010), 103–126 ; Sb. Math., 201:8 (2010), 1193–1215 |
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2009 |
10. |
V. E. Slyusarchuk, “Conditions for the invertibility of the nonlinear difference operator
$(\mathscr Rx)(n)=H(x(n),x(n+1))$, $n\in\mathbb Z$, in the space of bounded number sequences”, Mat. Sb., 200:2 (2009), 107–128 ; Sb. Math., 200:2 (2009), 261–282 |
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2003 |
11. |
V. E. Slyusarchuk, “Necessary and Sufficient Conditions for the Lipschitzian Invertibility of the Nonlinear Differential Mapping $d/dt-f$ in the Spaces $L_p({\mathbb R},{\mathbb R})$, $1\le p\le\infty$”, Mat. Zametki, 73:6 (2003), 891–903 ; Math. Notes, 73:6 (2003), 843–854 |
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2001 |
12. |
V. E. Slyusarchuk, “Necessary and sufficient conditions for the invertibility of the non-linear difference operator $(\mathscr Dx)(t)=x(t+1)-f(x(t))$ in the space of bounded continuous functions on the real axis”, Mat. Sb., 192:4 (2001), 87–98 ; Sb. Math., 192:4 (2001), 565–576 |
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2000 |
13. |
V. E. Slyusarchuk, “Necessary and sufficient conditions for the Lipschitzian invertibility of nonlinear difference operators in the spaces $\ell_p(\mathbb Z,\mathbb R)$ with $1\leqslant p\leqslant\infty$”, Mat. Zametki, 68:3 (2000), 448–454 ; Math. Notes, 68:3 (2000), 386–391 |
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1999 |
14. |
V. E. Slyusarchuk, “Essentially unstable solutions of difference equations in a Banach space”, Differ. Uravn., 35:7 (1999), 982–989 ; Differ. Equ., 35:7 (1999), 992–999 |
15. |
V. E. Slyusarchuk, “Conditions for the existence of bounded solutions of non-linear differential equations”, Uspekhi Mat. Nauk, 54:4(328) (1999), 181–182 ; Russian Math. Surveys, 54:4 (1999), 852–853 |
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1998 |
16. |
V. E. Slyusarchuk, “Counterexample to a conjecture on smooth mappings”, Uspekhi Mat. Nauk, 53:2(320) (1998), 135–136 ; Russian Math. Surveys, 53:2 (1998), 408–409 |
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1988 |
17. |
V. E. Slyusarchuk, “Absolutely stable systems with delay”, Differ. Uravn., 24:8 (1988), 1364–1373 ; Differ. Equ., 24:8 (1988), 886–893 |
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1987 |
18. |
V. E. Slyusarchuk, “Necessary and sufficient conditions for invertibility of nonautonomous functional-differential operators”, Mat. Zametki, 42:2 (1987), 262–267 ; Math. Notes, 42:2 (1987), 648–651 |
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19. |
V. E. Slyusarchuk, “Theory of invertibility of periodic operators”, Mat. Zametki, 42:1 (1987), 50–59 ; Math. Notes, 42:1 (1987), 539–544 |
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1986 |
20. |
V. E. Slyusarchuk, “On the instability of difference equations with respect to the first approximation”, Differ. Uravn., 22:4 (1986), 722–723 |
21. |
V. E. Slyusarchuk, “Invertibility of nonautonomous functional-differential operators”, Mat. Sb. (N.S.), 130(172):1(5) (1986), 86–104 ; Math. USSR-Sb., 58:1 (1987), 83–100 |
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1985 |
22. |
V. E. Slyusarchuk, “Invertibility of nonautonomous linear difference operators in the space of bounded functions on $\mathbf Z$”, Mat. Zametki, 37:5 (1985), 662–666 ; Math. Notes, 37:5 (1985), 360–363 |
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23. |
V. E. Slyusarchuk, “Instability of differential equations with respect to the first approximation”, Mat. Zametki, 37:1 (1985), 72–77 ; Math. Notes, 37:1 (1985), 41–44 |
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1983 |
24. |
V. E. Slyusarchuk, “New theorems on the instability of difference systems in the first approximation”, Differ. Uravn., 19:5 (1983), 906–908 |
25. |
V. E. Slyusarchuk, “Bounded solutions of impulse systems”, Differ. Uravn., 19:4 (1983), 588–596 |
1
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26. |
V. E. Slyusarchuk, “Some additions to the theory of stability of systems in the first approximation”, Mat. Zametki, 33:4 (1983), 595–603 ; Math. Notes, 33:4 (1983), 307–311 |
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1981 |
27. |
V. E. Slyusarchuk, “Invertibility of almost periodic $c$-continuous functional operators”, Mat. Sb. (N.S.), 116(158):4(12) (1981), 483–501 ; Math. USSR-Sb., 44:4 (1983), 431–446 |
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1980 |
28. |
V. E. Slyusarchuk, “Absolute exponential stability of linear differential equations of neutral type in a Banach space”, Differ. Uravn., 16:3 (1980), 462–469 |
1
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29. |
V. E. Slyusarchuk, “Bounded solutions of non-linear elliptic equations”, Uspekhi Mat. Nauk, 35:1(211) (1980), 215–216 ; Russian Math. Surveys, 35:1 (1980), 235–236 |
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1979 |
30. |
V. E. Slyusarchuk, “Invertibility of differential operators in the space of infinitely differentiable functions on the line”, Differ. Uravn., 15:10 (1979), 1796–1803 |
31. |
V. E. Slyusarchuk, “Strongly absolutely asymptotically stable solutions of linear differential equations with lags in a Banach space”, Differ. Uravn., 15:9 (1979), 1614–1619 |
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1978 |
32. |
V. E. Slyusarchuk, “On the question of absolute exponential stability of linear differential equations of lagging type in a Banach space”, Differ. Uravn., 14:8 (1978), 1526–1528 |
33. |
V. E. Slyusarchuk, “Problem of instability in the first approximation”, Mat. Zametki, 23:5 (1978), 721–723 ; Math. Notes, 23:5 (1978), 398–399 |
1
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34. |
V. E. Slyusarchuk, “Estimates of the spectra and the invertibility of functional operators”, Mat. Sb. (N.S.), 105(147):2 (1978), 269–285 ; Math. USSR-Sb., 34:2 (1978), 243–258 |
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1976 |
35. |
V. E. Slyusarchuk, “On the question of the stability of the solutions of infinite systems of differential equations”, Differ. Uravn., 12:11 (1976), 2019–2026 |
36. |
V. E. Slyusarchuk, “Absolute asymptotic stability of linear differential equations with infinitely many lags in a Banach space”, Differ. Uravn., 12:5 (1976), 840–847 |
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1975 |
37. |
V. E. Slyusarchuk, “Absolute stability of the solutions of linear differential equations with time lags in Banach space”, Mat. Zametki, 18:2 (1975), 261–265 ; Math. Notes, 18:2 (1975), 743–745 |
38. |
V. E. Slyusarchuk, “Sufficient conditions for absolute asymptotic stability of linear equations in a Banach space”, Mat. Zametki, 17:6 (1975), 919–923 ; Math. Notes, 17:6 (1975), 552–554 |
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