@article{MakhmudoMakhmudovTarkhanov2011,
  author    = {Makhmudo, K. O. and Makhmudov, O. I. and Tarkhanov, Nikolai Nikolaevich},
  title     = {Equations of Maxwell type},
  series = {Journal of mathematical analysis and applications},
  volume    = {378},
  journal   = {Journal of mathematical analysis and applications},
  number    = {1},
  publisher = {Elsevier},
  address   = {San Diego},
  issn      = {0022-247X},
  doi       = {10.1016/j.jmaa.2011.01.012},
  pages     = {64 -- 75},
  year      = {2011},
  abstract  = {For an elliptic complex of first order differential operators on a smooth manifold X, we define a system of two equations which can be thought of as abstract Maxwell equations. The formal theory of this system proves to be very similar to that of classical Maxwell's equations. The paper focuses on boundary value problems for the abstract Maxwell equations, especially on the Cauchy problem.},
  language  = {en}
}
@article{GlebovKiselevTarkhanov2011,
  author    = {Glebov, Sergei and Kiselev, Oleg and Tarkhanov, Nikolai Nikolaevich},
  title     = {Forced nonlinear resonance in a system of coupled oscillators},
  series = {Chaos : an interdisciplinary journal of nonlinear science},
  volume    = {21},
  journal   = {Chaos : an interdisciplinary journal of nonlinear science},
  number    = {2},
  publisher = {American Institute of Physics},
  address   = {Melville},
  issn      = {1054-1500},
  doi       = {10.1063/1.3578047},
  pages     = {7},
  year      = {2011},
  abstract  = {We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time t similar to s(-2) one component of the system is described for the most part by the inhomogeneous Mathieu equation while the other component represents pulsation of large amplitude. A Hamiltonian system is obtained which describes for the most part the behavior of the envelope in a special case. The analytic results agree with numerical simulations.},
  language  = {en}
}
@article{ElinShoikhetTarkhanov2011,
  author    = {Elin, Mark and Shoikhet, David and Tarkhanov, Nikolai Nikolaevich},
  title     = {Separation of boundary singularities for holomorphic generators},
  series = {Annali di matematica pura ed applicata},
  volume    = {190},
  journal   = {Annali di matematica pura ed applicata},
  number    = {4},
  publisher = {Springer},
  address   = {Heidelberg},
  issn      = {0373-3114},
  doi       = {10.1007/s10231-010-0165-y},
  pages     = {595 -- 618},
  year      = {2011},
  abstract  = {We prove a theorem on separation of boundary null points for generators of continuous semigroups of holomorphic self-mappings of the unit disk in the complex plane. Our construction demonstrates rather strikingly the particular role of the binary operation au broken vertical bar given by 1/ f au broken vertical bar g = 1/f + 1/g on generators.},
  language  = {en}
}
@article{Tarkhanov2011,
  author    = {Tarkhanov, Nikolai Nikolaevich},
  title     = {The dirichlet to Neumann operator for elliptic complexes},
  series = {Transactions of the American Mathematical Society},
  volume    = {363},
  journal   = {Transactions of the American Mathematical Society},
  number    = {12},
  publisher = {American Mathematical Soc.},
  address   = {Providence},
  issn      = {0002-9947},
  pages     = {6421 -- 6437},
  year      = {2011},
  abstract  = {We define the Dirichlet to Neumann operator for an elliptic complex of first order differential operators on a compact Riemannian manifold with boundary. Under reasonable conditions the Betti numbers of the complex prove to be completely determined by the Dirichlet to Neumann operator on the boundary.},
  language  = {en}
}