• DocumentCode
    514811
  • Title

    Notice of Retraction
    On Subnormal Solutions of Higher Order Linear Periodic Differential Equations

  • Author

    Ji-jun Wu ; Jiao-yu Wu

  • Author_Institution
    Comput. Eng. Tech. Coll., Guangdong Inst. of Sci. & Technol., Zhuhai, China
  • Volume
    1
  • fYear
    2010
  • fDate
    6-7 March 2010
  • Firstpage
    242
  • Lastpage
    247
  • Abstract
    Notice of Retraction

    After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

    We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

    The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

    In this paper, we investigated the existence of subnormal solution and the growth properties of solutions for nth order periodic coefficient homogeneous linear differential equations f(k)+[Pk-1(ez)+Qk-1(e-z)]f(k-1)+??????+[p1(ez)+Q1(e-z)]f+[P0(ez)+Q0(e-z)]f=0 (where Pj(z), Qj(z) (j=0,??????, n-1)(n ?? 2) are polynomials and P0 +Q0 ??0 and its corresponding non-homogeneous equations, we proved the non- existence of subnormal solutions of homogeneous differential equations and the hype order of non-trivial solutions satisfied ??2 (f ) =1 if there exists a 0 ?? s<k satisfies max {deg Pj} <deg Ps, max{deg Qj} <deg Qs.
  • Keywords
    linear differential equations; polynomials; higher order linear periodic differential equations; nonhomogeneous equations; nth order periodic coefficient homogeneous linear differential equations; polynomials; subnormal solution; Computer science; Computer science education; Conferences; Differential equations; Educational technology; hyper order; periodic differential equation; subnormal solution;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Education Technology and Computer Science (ETCS), 2010 Second International Workshop on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-1-4244-6388-6
  • Type

    conf

  • DOI
    10.1109/ETCS.2010.552
  • Filename
    5459109