Bratus' Alexander Sergeevich

Publications in Math-Net.Ru

1. Up and Down Estimate of Therapy Quality in Non-Linear Distributed Mathematical Glioma Model
   
   Mat. Biolog. Bioinform., 9:1 (2014),  20–32
2. The task of search viable therapy strategy for a mathematical spatial cancer model
   
   Computer Research and Modeling, 5:4 (2013),  749–765
3. Asymptotics of Eigenvalues of the Jacobi Matrix of a System of Semilinear Parabolic Equations
   
   Mat. Zametki, 89:2 (2011),  204–213
4. Mathematical model of optimal chemotherapy strategy with allowance for cell population dynamics in a heterogeneous tumor
   
   Zh. Vychisl. Mat. Mat. Fiz., 49:11 (2009),  1907–1919
5. Optimal control synthesis in therapy of solid tumor growth
   
   Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008),  946–966
6. Local solutions of the Hamilton–Jacobi–Bellman equation for some stochastic problems
   
   Avtomat. i Telemekh., 2007, no. 6,  99–115
7. Stationary solutions in a closed distributed Eigen–Schuster evolution system
   
   Differ. Uravn., 42:12 (2006),  1686–1698
8. A method for detection of Hopf bifurcation points
   
   Zh. Vychisl. Mat. Mat. Fiz., 42:3 (2002),  336–350
9. The relation between the first and second natural frequencies of vibrations of a membrane
   
   Zh. Vychisl. Mat. Mat. Fiz., 32:2 (1992),  320–325
10. Destabilizing action of small dissipative forces on nonconservative systems
    
    Dokl. Akad. Nauk SSSR, 309:6 (1989),  1325–1327
11. The conditions for an extremum in spectral isoperimetric problems with variable boundary
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:12 (1987),  1790–1801
12. Multiple eigenvalues in problems of optimization of spectral properties of systems with a finite number of degrees of freedom
    
    Zh. Vychisl. Mat. Mat. Fiz., 26:5 (1986),  645–654
13. Sufficient conditions for an extremum in problems of controlling the coefficients of elliptic operators
    
    Uspekhi Mat. Nauk, 40:2(242) (1985),  171–172
14. Double eigenvalues in optimization problems
    
    Dokl. Akad. Nauk SSSR, 272:2 (1983),  275–278
15. Asymptotic solutions in problems of the optimal control of the coefficients of elliptic operators
    
    Dokl. Akad. Nauk SSSR, 259:5 (1981),  1035–1038
16. Approximate optimal control of motion under the action of Poisson and Gaussian random perturbations
    
    Differ. Uravn., 13:9 (1977),  1558–1569
17. Numerical solution of problems of optimal correction under random perturbations
    
    Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  68–78
18. Estimates in $L_2$ for pseudodifferential operators with a parameter of principal type and their applications to equations in tube domains
    
    Dokl. Akad. Nauk SSSR, 203:4 (1972),  738–741
19. A priori estimates for equations with a parameter
    
    Dokl. Akad. Nauk SSSR, 192:6 (1970),  1202–1205