• Title of article

    OSCILLATION OF FOURTH-ORDER DYNAMIC EQUATIONS

  • Author/Authors

    Grace, Said R. Cairo University - Faculty of Engineering - Department of Engineering Mathematics, Egypt , Bohner, Martin Missouri University of Science and Technology - Department of Economics and Finance , Department of Mathematics, USA , Sun, Shurong University of Jinan - School of Science, China

  • From page
    545
  • To page
    553
  • Abstract
    In this paper we shall reduce the problem of the oscillation of all solutions of certain nonlinear fourth-order dynamic equations to the problem of oscillation of two second-order dynamic equations, which are discussed intensively in the literature. Further oscillation criteria of fourth-order equations are given and proved using integration and Taylor’s formula on time scales. Some conditions are presented that ensure that all bounded solutions of the equation are oscillatory.
  • Keywords
    Oscillation , Fourth , order , Dynamic equation , Time scales
  • Journal title
    Hacettepe Journal Of Mathematics an‎d Statistics
  • Journal title
    Hacettepe Journal Of Mathematics an‎d Statistics
  • Record number

    2600970

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2600970