Slyusarchuk Vasilii Efimovich

Publications in Math-Net.Ru

1. 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
2. To Favard's theory for functional equations
   
   Sibirsk. Mat. Zh., 58:1 (2017),  206–218
3. Almost-periodic solutions of discrete equations
   
   Izv. RAN. Ser. Mat., 80:2 (2016),  125–138
4. Conditions for the Existence of Almost-Periodic Solutions of Nonlinear Difference Equations in Banach Space
   
   Mat. Zametki, 97:2 (2015),  277–285
5. Conditions for almost periodicity of bounded solutions of non-linear differential-difference equations
   
   Izv. RAN. Ser. Mat., 78:6 (2014),  179–192
6. 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
7. Bounded and periodic solutions of nonlinear functional differential equations
   
   Mat. Sb., 203:5 (2012),  135–160
8. 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
9. The method of local linear approximation in the theory of nonlinear functional-differential equations
   
   Mat. Sb., 201:8 (2010),  103–126
10. 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
11. 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
12. 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
13. 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
14. Essentially unstable solutions of difference equations in a Banach space
    
    Differ. Uravn., 35:7 (1999),  982–989
15. Conditions for the existence of bounded solutions of non-linear differential equations
    
    Uspekhi Mat. Nauk, 54:4(328) (1999),  181–182
16. Counterexample to a conjecture on smooth mappings
    
    Uspekhi Mat. Nauk, 53:2(320) (1998),  135–136
17. Absolutely stable systems with delay
    
    Differ. Uravn., 24:8 (1988),  1364–1373
18. Necessary and sufficient conditions for invertibility of nonautonomous functional-differential operators
    
    Mat. Zametki, 42:2 (1987),  262–267
19. Theory of invertibility of periodic operators
    
    Mat. Zametki, 42:1 (1987),  50–59
20. On the instability of difference equations with respect to the first approximation
    
    Differ. Uravn., 22:4 (1986),  722–723
21. Invertibility of nonautonomous functional-differential operators
    
    Mat. Sb. (N.S.), 130(172):1(5) (1986),  86–104
22. Invertibility of nonautonomous linear difference operators in the space of bounded functions on $\mathbf Z$
    
    Mat. Zametki, 37:5 (1985),  662–666
23. Instability of differential equations with respect to the first approximation
    
    Mat. Zametki, 37:1 (1985),  72–77
24. New theorems on the instability of difference systems in the first approximation
    
    Differ. Uravn., 19:5 (1983),  906–908
25. Bounded solutions of impulse systems
    
    Differ. Uravn., 19:4 (1983),  588–596
26. Some additions to the theory of stability of systems in the first approximation
    
    Mat. Zametki, 33:4 (1983),  595–603
27. Invertibility of almost periodic $c$-continuous functional operators
    
    Mat. Sb. (N.S.), 116(158):4(12) (1981),  483–501
28. Absolute exponential stability of linear differential equations of neutral type in a Banach space
    
    Differ. Uravn., 16:3 (1980),  462–469
29. Bounded solutions of non-linear elliptic equations
    
    Uspekhi Mat. Nauk, 35:1(211) (1980),  215–216
30. Invertibility of differential operators in the space of infinitely differentiable functions on the line
    
    Differ. Uravn., 15:10 (1979),  1796–1803
31. Strongly absolutely asymptotically stable solutions of linear differential equations with lags in a Banach space
    
    Differ. Uravn., 15:9 (1979),  1614–1619
32. 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. Problem of instability in the first approximation
    
    Mat. Zametki, 23:5 (1978),  721–723
34. Estimates of the spectra and the invertibility of functional operators
    
    Mat. Sb. (N.S.), 105(147):2 (1978),  269–285
35. On the question of the stability of the solutions of infinite systems of differential equations
    
    Differ. Uravn., 12:11 (1976),  2019–2026
36. Absolute asymptotic stability of linear differential equations with infinitely many lags in a Banach space
    
    Differ. Uravn., 12:5 (1976),  840–847
37. Absolute stability of the solutions of linear differential equations with time lags in Banach space
    
    Mat. Zametki, 18:2 (1975),  261–265
38. Sufficient conditions for absolute asymptotic stability of linear equations in a Banach space
    
    Mat. Zametki, 17:6 (1975),  919–923