Budaev Viktor Dmitrievich

Publications in Math-Net.Ru

1. On the relationship between the Carleman condition and the equivalence of norms of root functions on various compact sets
   
   Differ. Uravn., 42:4 (2006),  441–447
2. The Gap Lengths in the Sequence of Spectral Parameters of Hilbert Function Systems
   
   Differ. Uravn., 37:2 (2001),  164–170
3. The Hilbert inequality for a one-parameter family of functions
   
   Differ. Uravn., 36:7 (2000),  996–997
4. The Hilbert and Bessel properties of systems of eigenfunctions of second-order operators
   
   Differ. Uravn., 36:2 (2000),  147–151
5. On Hilbert and Bessel inequalities for some sine, cosine and exponential systems
   
   Differ. Uravn., 33:1 (1997),  19–24
6. Some properties of root functions of differential operators that are connected with the unconditional basis property
   
   Differ. Uravn., 32:1 (1996),  9–14
7. Necessary conditions for the unconditional basis property of systems of root functions of nonselfadjoint differential operators
   
   Dokl. Akad. Nauk, 329:4 (1993),  396–399
8. Some properties of root vector functions of a higher-order operator
   
   Differ. Uravn., 29:1 (1993),  30–40
9. A necessary condition for the Riesz basis property of systems of root functions of an ordinary nonselfadjoint differential operator
   
   Differ. Uravn., 29:1 (1993),  20–29
10. The unconditional basis property of systems of root vector functions of differential operators with matrix coefficients
    
    Dokl. Akad. Nauk, 323:6 (1992),  999–1003
11. Some properties of root functions of higher-order ordinary differential operators
    
    Differ. Uravn., 28:8 (1992),  1454–1456
12. Criteria for the Bessel property and the Riesz basis property of systems of root functions of differential operators. II
    
    Differ. Uravn., 28:1 (1992),  23–33
13. A necessary condition for the Riesz basis property of systems of root functions of ordinary differential operators
    
    Dokl. Akad. Nauk SSSR, 321:5 (1991),  873–875
14. On the Bessel inequality for systems of root functions of differential operators
    
    Dokl. Akad. Nauk SSSR, 318:1 (1991),  16–20
15. Criteria for the Bessel property and the Riesz basis property of systems of root functions of differential operators. I
    
    Differ. Uravn., 27:12 (1991),  2033–2044
16. A condition for the unconditional basis property for systems of eigen- and associated functions of ordinary differential operators
    
    Dokl. Akad. Nauk SSSR, 314:1 (1990),  25–28
17. The convergence of spectral expansions at the point of discontinuity of the coefficients of a linear nonselfadjoint differential operator of order $2m$
    
    Dokl. Akad. Nauk SSSR, 296:4 (1987),  780–784
18. On the convergence of spectral expansions at the point of discontinuity of the coefficients of a second-order linear nonselfadjoint differential operator
    
    Dokl. Akad. Nauk SSSR, 293:2 (1987),  270–274
19. The property of being an unconditional basis on a closed interval, for systems of eigen- and associated functions of a second-order operator with discontinuous coefficients
    
    Differ. Uravn., 23:6 (1987),  941–952
20. An estimate for the modulus of the derivative of a regular solution of an ordinary linear differential equation
    
    Differ. Uravn., 23:2 (1987),  198–204
21. The property of being an unconditional basis of systems of eigen- and associated functions of a second-order operator with discontinuous coefficients
    
    Dokl. Akad. Nauk SSSR, 289:4 (1986),  777–780