Melnikov Nikolai Borisovich

Publications in Math-Net.Ru

1. Chattering extremals in Hamiltonian systems with control in a square
   
   Uspekhi Mat. Nauk, 81:1(487) (2026),  209–210
2. Chattering trajectories in stabilization problems for nonlinear control-affine systems.
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 31:1 (2025),  138–153
3. Asymptotic formulas for magnetization and chemical potential of ferromagnetic metals at low temperatures
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 235 (2024),  78–86
4. Treatment of symmetry in the Ritz method for the Schrödinger equation in crystals with a basis
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 231 (2024),  74–82
5. Chattering extremals in control-affine stabilization problems
   
   Uspekhi Mat. Nauk, 79:5(479) (2024),  187–188
6. Projection Method for Infinite-Horizon Economic Growth Problems
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 28:3 (2022),  17–29
7. Numerical continuation method for nonlinear system of scalar and functional equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 60:3 (2020),  405–412
8. Effect of phonons on the magnetic characteristics of metals at finite temperatures
   
   TMF, 201:1 (2019),  137–148
9. Debye–Waller factor in neutron scattering by ferromagnetic metals
   
   TMF, 195:1 (2018),  91–104
10. Spin–density correlations and magnetic neutron scattering in ferromagnetic metals
    
    TMF, 191:1 (2017),  151–171
11. Parallel algorithm for calculating general equilibrium in multiregion economic growth models
    
    Ural Math. J., 2:2 (2016),  45–57
12. Spin-density correlator and its Fourier transform in the dynamic spin-fluctuation theory
    
    Num. Meth. Prog., 17:4 (2016),  474–486
13. Magnetic phase transitions in spin-fluctuation theory
    
    TMF, 183:3 (2015),  486–497
14. Transverse susceptibility and the $T^{3/2}$ law in the dynamic spin-fluctuation theory
    
    TMF, 181:2 (2014),  358–373
15. A renormalized Gaussian approximation in the spin-fluctuation theory
    
    Num. Meth. Prog., 15:3 (2014),  461–475
16. Optimal Gaussian approximation in the Ising model
    
    Num. Meth. Prog., 13:3 (2012),  452–464
17. Accounting for household heterogeneity in dynamic general equilibrium models
    
    UBS, 35 (2011),  114–135
18. Accounting for household heterogeneity in dynamic general equilibrium models
    
    Mat. Teor. Igr Pril., 2:4 (2010),  52–73
19. Consumer aggregation in dynamic general equlibrium models with CES utility functions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  289–296
20. Optimal Gaussian approximation in the fluctuating field theory
    
    Trudy Mat. Inst. Steklova, 271 (2010),  159–180
21. Непрерывная деформация модели экономического роста с перекрывающимися поколениями к модели Рамсея
    
    Matem. Mod. Kraev. Zadachi, 2 (2009),  107–110
22. Andronov–Hopf bifurcation in simple double diffusion models
    
    Uspekhi Mat. Nauk, 62:2(374) (2007),  175–176
23. Soft Loss of Stability in an Ocean Circulation Box Model with Turbulent Fluxes
    
    Trudy Mat. Inst. Steklova, 259 (2007),  10–19
24. Optimality of Singular Curves in the Problem on a Car with $n$ Trailers
    
    CMFD, 19 (2006),  114–130
25. The Bellman function and optimal synthesis in control problems with nonsmooth constraints
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 110 (2006),  134–154
26. Extremal properties of singularities of Goursat distributions
    
    Uspekhi Mat. Nauk, 61:4(370) (2006),  191–192
27. A Saddle Point in a Differential Game on an Unbounded Time Interval
    
    Trudy Mat. Inst. Steklova, 236 (2002),  230–233
28. The Topological Structure of the Phase Portrait of a Typical Fiber of Optimal Synthesis for Chattering Problems
    
    Trudy Mat. Inst. Steklova, 233 (2001),  125–152
29. On the problem of control synthesis: the Pontryagin alternating integral and the Hamilton–Jacobi equation
    
    Mat. Sb., 191:6 (2000),  69–100