01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
9.11.1975
E-mail:
Keywords:
singular perturbations; internal transition lyers; domain of attraction; asymptotic stability.
Subject:
Asymptotic stability and global domain of attraction of solution with internal transition lyers.
Biography
Graduated from Faculty of Phisics of M. V. Lomonosov Moscow State University (MSU) in 1998 (department of mathematics). Ph.D thesis was defended 1999. A list of my works contains more than 20 titles.
Main publications:
Butuzov V. F., Nedelko I. V. Ustoichivost kontrastnykh struktur tipa stupenki v dvumernom sluchae // Doklady RAN. 1999. T. 366. # 3. S. 295–298.
Butuzov V. F., Nedelko I. V. O globalnoi oblasti vliyaniya reshenii s vnutrennimi sloyami // Doklady RAN. 2000. T. 373. # 2. S. 155–156.
Nedelko I. V. Asimptoticheskaya ustoichivost, lokalnaya edinstvennost i oblast vliyaniya dvumernoi kontrastnoi struktury tipa stupenki // Matem. zametki. 2001. T. 69. # 1. S. 82–91.
Butuzov V. F., Nedelko I. V. O globalnoi oblasti vliyaniya ustoichivykh reshenii s vnutrennimi sloyami // Matem. sbornik. 2001. T. 192. # 5. S. 13–52.
Butuzov V. F., Nedelko I. V. Asimptoticheskaya ustoichivost reshenii singulyarno vozmuschennykh zadach s pogranichnymi i vnutrennimi sloyami // Differentsialnye uravneniya. 2000. t. 36. # 2. S. 198–208.
I. V. Nedelko, “Solutions of a problem of ‘reaction–diffusion’ type with internal transition layers
in the case of non-linearity of quadratic type”, Izv. RAN. Ser. Mat., 73:1 (2009), 157–176; Izv. Math., 73:1 (2009), 151–170
2006
2.
I. V. Nedelko, “Onset of solutions with internal layers approaching the domain boundary”, Differ. Uravn., 42:1 (2006), 101–113; Differ. Equ., 42:1 (2006), 112–125
I. V. Nedelko, “Existence of solutions with interior transition layers touching the boundary”, Mat. Zametki, 77:1 (2005), 80–92; Math. Notes, 77:1 (2005), 72–83
V. F. Butuzov, I. V. Nedelko, “On the Formation of a Solution with an Internal Layer in a Parabolic System with Different Powers of a Small Parameter”, Differ. Uravn., 40:3 (2004), 356–367; Differ. Equ., 40:3 (2004), 382–395
V. F. Butuzov, S. A. Kryazhimskii, I. V. Nedelko, “Global domain of attraction of a step-like contrast structure in a critical case”, Zh. Vychisl. Mat. Mat. Fiz., 44:8 (2004), 1410–1431; Comput. Math. Math. Phys., 44:8 (2004), 1334–1355
6.
V. F. Butuzov, S. A. Kryazhimskii, I. V. Nedelko, “On the global domain of influence of stable steplike contrast structures in the Dirichlet problem”, Zh. Vychisl. Mat. Mat. Fiz., 44:6 (2004), 1039–1061; Comput. Math. Math. Phys., 44:6 (2004), 985–1006
V. F. Butuzov, I. V. Nedelko, “Instability of Multidimensional Contrast Structures”, Differ. Uravn., 38:2 (2002), 222–233; Differ. Equ., 38:2 (2002), 235–248
V. F. Butuzov, I. V. Nedelko, “On the global domain of influence of stable solutions with interior layers in the two-dimensional case”, Izv. RAN. Ser. Mat., 66:1 (2002), 3–42; Izv. Math., 66:1 (2002), 1–40
V. F. Butuzov, I. V. Nedelko, “Step-type contrast structure in a system of two singularly perturbed parabolic equations”, Mat. Model., 13:12 (2001), 23–42
I. V. Nedelko, “Asymptotic Stability, Local Uniqueness, and Domain of Attraction of Two-Dimensional Step Type Contrast Structures”, Mat. Zametki, 69:1 (2001), 82–91; Math. Notes, 69:1 (2001), 72–80
11.
V. F. Butuzov, I. V. Nedelko, “Global influence domains of stable solutions with internal layers”, Mat. Sb., 192:5 (2001), 13–52; Sb. Math., 192:5 (2001), 651–691
V. F. Butuzov, I. V. Nedelko, “Asymptotic stability of solutions of singularly perturbed boundary value problems with boundary and internal layers”, Differ. Uravn., 36:2 (2000), 198–208; Differ. Equ., 36:2 (2000), 224–235
V. F. Butuzov, I. V. Nedelko, “A steplike contrast structure in a singularly perturbed system of elliptic equations with different power of a small parameter”, Zh. Vychisl. Mat. Mat. Fiz., 40:6 (2000), 877–899; Comput. Math. Math. Phys., 40:6 (2000), 837–859
V. F. Butuzov, I. V. Nedelko, “On periodic contrast structures in singularly perturbed elliptic equations”, Fundam. Prikl. Mat., 5:2 (1999), 385–409
15.
V. F. Butuzov, I. V. Nedelko, “Existence, local uniqueness, and asymptotics of two-dimensional periodic steplike contrast structures”, Zh. Vychisl. Mat. Mat. Fiz., 39:5 (1999), 812–831; Comput. Math. Math. Phys., 39:5 (1999), 779–798
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