• DocumentCode
    533448
  • Title

    Complex vanishing solutions to nonlinear integral equation related to modified phase problem

  • Author

    Bulatsyk, O.O. ; Topolyuk, Yu P. ; Tupychak, I.V.

  • Author_Institution
    Pidstryhach Inst. for Appl. Problems in Mech. & Math., NASU, Lviv, Ukraine
  • fYear
    2010
  • fDate
    27-30 Sept. 2010
  • Firstpage
    183
  • Lastpage
    186
  • Abstract
    A nonlinear integral equation of Hammerstein type arising in the so-called modified phase problem is considered. The complex vanishing solutions to this equation are investigated. Solutions of the equation are represented by means of polynomials of finite degree. Consistency of previously defined system of transcendental equations for parameters of the polynomials is proved. Numerical results are analyzed for concrete examples.
  • Keywords
    integral equations; nonlinear equations; numerical analysis; polynomials; Hammerstein type; complex vanishing solutions; finite degree polynomials; modified phase problem; nonlinear integral equation; polynomial parameters; transcendental equations; Acoustic waves; Electromagnetic scattering; Integral equations; Inverse problems; Mathematical model; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2010 Xvth International Seminar/Workshop on
  • Conference_Location
    Tbilisi
  • Print_ISBN
    978-1-4244-7790-6
  • Electronic_ISBN
    978-966-02-5654-5
  • Type

    conf

  • Filename
    5623894