Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations
نویسندگان
چکیده
Some oscillatory criteria for fourth order difference and differential equations are generalized to arbitrary time scales.
منابع مشابه
On the Oscillation Certain Fourth Order Nonlinear Dynamic Equations with a Nonlinear Middle Term
New oscillation criteria for certain fourth order nonlinear dynamic equations with nonlinear middle term are established. Mathematics subject classification (2010): 34K11, 39A10, 39A99, 34C10, 34C15, 34N05.
متن کاملOscillation of Fourth-order Dynamic Equations
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 ...
متن کاملOscillation Theorems for Fourth-order Delay Dynamic Equations on Time Scales
In this note, we examine the oscillatory nature for the fourth-order nonlinear delay dynamic equation (r(t)x 3 (t)) + p(t)x(τ(t)) = 0 on a time scale T unbounded above. Some oscillation criteria are obtained for the cases when ∫ ∞
متن کاملDynamic Systems and Applications 25 (2016) 431-438 OSCILLATION CRITERIA FOR FOURTH ORDER NONLINEAR POSITIVE DELAY DIFFERENTIAL EQUATIONS WITH A MIDDLE TERM SAID GRACE AND ELVAN AKIN
In this article, we establish some new criteria for the oscillation of fourth order nonlinear delay differential equations of the form x(t) + p(t)x(t) + q(t)f(x(g(t))) = 0 provided that the second order equation z(t) + p(t)z(t) = 0 is nonoscillatiory or oscillatory. This equation with g(t) = t is considered in [8] and some oscillation criteria for this equation via certain energy functions are ...
متن کاملComparison Theorem for Oscillation of Fourth-order Nonlinear Retarded Dynamic Equations
This work is concerned with oscillation of a class of fourth-order nonlinear delay dynamic equations on a time scale. A new comparison theorem is established that improves related results reported in the literature.
متن کامل