Oscillation Behavior of Third-Order Neutral Emden-Fowler Delay Dynamic Equations on Time Scales
نویسندگان
چکیده
Wewill establish some oscillation criteria for the third-order Emden-Fowler neutral delay dynamic equations r t x t − a t x τ t ΔΔ Δ p t x δ t 0 on a time scale T, where γ > 0 is a quotient of odd positive integers with r, a, and p real-valued positive rd-continuous functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of these equations on time scales, so this paper initiates the study. Some examples are considered to illustrate the main results.
منابع مشابه
Dynamic Systems and Applications 15 (2006) 629-644 OSCILLATION OF SECOND-ORDER NEUTRAL DELAY DYNAMIC EQUATIONS OF EMDEN-FOWLER TYPE
In this paper, we will establish some new oscillation criteria for the second-order superlinear neutral delay dynamic equation of Emden-Fowler type [ a(t)(y(t) + r(t)y(τ(t))) ]∆ + p(t) |y(δ(t))| signy(δ(t)) = 0, on a time scale T; here γ > 1, a(t), r(t), τ(t), p(t) and δ(t)real-valued positive functions defined on T. Our results in the special case when T = R, improve the oscillation results fo...
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