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
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
