• DocumentCode
    556639
  • Title

    Application of multidimensional residues theory to determining number of solutions of transcendental equation systems arisen in phase optimization problems

  • Author

    Bulatsyk, O.O.

  • Author_Institution
    Pidstryhach Inst. of Appl. Problems of Mech. & Math., Lviv, Ukraine
  • fYear
    2011
  • fDate
    26-29 Sept. 2011
  • Firstpage
    196
  • Lastpage
    199
  • Abstract
    The subject of investigation is to determine the number of solutions to the system of transcendental equations related to a class of nonlinear integral equations of Hammerstein type with separated argument (phase) of unknown function. Such systems have arisen particularly in the phase optimization problems. The numerical algorithm is constructed and demonstrated on an example of equation of two complex unknowns.
  • Keywords
    integral equations; nonlinear equations; optimisation; Hammerstein type; multidimensional residues theory; nonlinear integral equation; phase optimization problem; transcendental equation system; Acoustic waves; Antennas; Integral equations; Mathematical model; Optimization; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2011 XVth International Seminar/Workshop on
  • Conference_Location
    Lviv
  • ISSN
    pending
  • Print_ISBN
    978-1-4577-0897-8
  • Type

    conf

  • Filename
    6081780