FOTO

Nombre: Trofimchuk, Sergei
Jerarquía Académica: Profesor Titular
Grado Académico: Doctor
Líneas de Investigación: Análisis

Oficina: Edificio Lircay 3to. Piso Ofic. 7
Teléfono: (56)(71)200346
Fax : (56)(71)200392
E-mail: trofimch@inst-mat.utalca.cl  

Avenida Lircay s/n, Talca - Chile

Títulos y Grados Académicos |   Especialidades |   Publicaciones

 
Títulos y Grados Académicos
 
Titulo
Magíster en Ciencias
Universidad Taras Shevchenko
1982
Kiev, Ucrania
 
Grado
Doctor en Ciencias físicas y matemáticas
Instituto de Matemáticas de la Academia Nacional de Ciencias de Ucrania
Ph.D. : 1985. Habilitación: 1994
Kiev, Ucrania
 
 
Especialidades
 
  • Ecuaciones diferenciales y en diferencias (funcionales y ordinarias)
  • Sistemas dinámicos
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    Publicaciones
     
    Publicaciones (2000-2005) 
    A. Capitulos en libros:
    Theory of the Numerical-Analytic Method: Achievements, and New Trends of Investigation, p. 317-413; (with M. Ronto and A. Samoilenko) in M. Ronto and A. Samoilenko `Numerical-analytic methods in the theory of boundary value problems', World Scientific, 2000.
    B. Articulos (2000-2005)
    A. Samoilenko, M. Pinto and S. Trofimchuk, Krylov-Bogolyubov averaging of asymptotically autonomous differential equations, Proc. Amer. Math. Soc., (2005).
    E. Trofimchuk and S. Trofimchuk, Global stability in a regulated logistic growth model, Discrete and Continuous Dynamical Systems, series B (2005).
    T. Faria, E. Liz, J. Oliveira and S. Trofimchuk, On a generalized Yorke condition for scalar delayed population models, Discrete and Continuous Dynamical Systems, series A (2005).
    V. Tkachenko and S. Trofimchuk, Global stability in difference equations satisfying the generalized Yorke condition, J. Math. Anal. Appl. (2005).
    E. Liz, M. Pinto, V. Tkachenko and S. Trofimchuk, A global stability criterion for a family of delayed population models, Quarterly of Applied Mathematics (2005).
    S. Kolyada, L. Snoha and S. Trofimchuk, On minimality of nonautonomous dynamical systems, Nonlinear Oscillations (2004).
    O. Nenya, V. Tkachenko and S. Trofimchuk, On the global stability of a nonlinear difference equation, Nonlinear Oscillations (2004).
    E. Liz, V. Tkachenko and S. Trofimchuk, A global stability criterion for scalar functional differential equations, SIAM J. Math. Anal. (2003).
    E. Liz, V. Tkachenko and S. Trofimchuk, Yorke and Wright 3/2-stability theorems from a unified point of view, Discrete and Continuous Dynamical Systems, Supplement Volume (2003).
    A. Ivanov, E. Liz, and S. Trofimchuk, Global stability of a class of scalar nonlinear delay differential equations, J. of Dynamical Systems and Differential Equations, (2003).
    E. Liz, M. Pinto, G. Robledo, V. Tkachenko and S. Trofimchuk, Wright type delay differential equations with negative Schwarzian, Discrete and Continuous Dynamical Systems (2003).
    I. Gyori and S.Trofimchuk, On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation, Nonlinear Analysis TMA (2002).
    S. Trofimchuk and M. Pinto, Lp- perturbations of invariant subbundles for linear systems, Journal of Dynamics and Differential Equations (2002).
    E. Liz, E. Trofimchuk and S. Trofimchuk, Mackey-Glass type delay differential equations near the boundary of absolute stability, J. Math. Anal. Appl. (2002).
    E. Liz, C. Martinez and S. Trofimchuk, Attractivity properties of infinite delay Mackey-Glass type equations, Differential and Integral Equations (2002).
    A. Ivanov, E. Liz and S. Trofimchuk, Halanay inequality, Yorke 3/2 stability criterion, and differential equations with maxima, Tohoku Math.J. (2002).
    E. Liz, C. Martinez and S. Trofimchuk, Global attractivity in Goodwin's oscillator with finite delay, Nonlinear Analysis TMA (2001).
    E. Liz, G. Robledo and S. Trofimchuk, La conjetura de Wright: entre la distribución de los números primos y el crecimiento de la población, Cubo (2001).
    S. Kolyada, L. Snoha and S. Trofimchuk, Nonivertible minimal maps, Fundamenta Mathematicae (2001).
    A.N. Ronto, M. Ronto, A.M. Samoilenko and S.I. Trofimchuk, On periodic solutions of autonomous difference equations, Georgian Math. J. (2001).
    M. Pinto and S. Trofimchuk, Stability and existence of multiple periodic solutions for a quasilinear differential equation with maxima, Proc. of Royal Soc. of Edinburgh, A (2000).
    E. Liz and S. Trofimchuk, Existence and stability of almost periodic solutions for quasilinear delay systems and Halanay inequality, J. Math. Anal. Appl. (2000).
    I. Gyori and S.Trofimchuk, Global attractivity and persistence in a discrete population model, J. Difference Eqns. Appl. (2000).
    C.P. Gupta and S. Trofimchuk, A priori estimates for the existence of a solution for a multi-point boundary value problem, J. Inequal. Appl. (2000).
    A. Cabada, J.J. Nieto, D. Franco and S.Trofimchuk, A generalization of the monotone method for second order periodic boundary value problem with impulses at fixed points, Dynam. Contin. Discrete Impuls. Systems (2000).
    A. Ivanov and S. Trofimchuk, Weak hyperbolicity of delay differential equations and 3/2-type stability conditions, Funkciolaj Ekvacioj (2000).