Oscillation criteria for second-order nonlinear delay dynamic equations
نویسندگان
چکیده
منابع مشابه
Oscillation criteria for second-order nonlinear neutral delay dynamic equations
In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equation ( r(t) (( y(t)+ p(t)y(t − τ))∆)γ )∆ + f (t, y(t − δ))= 0 on a time scale T; here γ > 0 is a quotient of odd positive integers with r(t) and p(t) real-valued positive functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of the...
متن کاملOscillation Criteria for Nonlinear Delay Differential Equations of Second Order∗
We prove oscillation theorems for the nonlinear delay differential equation
متن کاملOscillation Criteria for Second-Order Nonlinear Neutral Delay Differential Equations
Some sufficient conditions are established for the oscillation of second-order neutral differential equation x t p t x τ t ′′ q t f x σ t 0, t ≥ t0, where 0 ≤ p t ≤ p0 < ∞. The results complement and improve those of Grammatikopoulos et al. Ladas, A. Meimaridou, Oscillation of second-order neutral delay differential equations, Rat. Mat. 1 1985 , Grace and Lalli 1987 , Ruan 1993 , H. J. Li 1996 ...
متن کاملOscillation criteria for second order nonlinear dynamic equations with impulses
We investigate the oscillatory behavior of the second order nonlinear dynamic equation ` a(x) ́∆ (t) + q(t)x(t) = 0, the forced dynamic equation ` a(x) ́∆ (t) + q(t)x(t) = e(t) and the forced-perturbed dynamic equation ` a(x) ́∆ (t) + q(t)x(t) = e(t) + p(t)x (t). The obtained results are new and not only extend the known results appeared in the literature, but they also improve and unify the kn...
متن کاملSome oscillation results for second-order nonlinear delay dynamic equations
We obtain some oscillation theorems for linear delay dynamic equations on a time scale. We illustrate the results by a number of examples. 1. Preliminary Results Consider the second order linear delay dynamic equation (1.1) L[x](t) := (r(t)x(t)) + n ∑ i=1 qi(t)x(τi(t)) = 0. We will be interested in obtaining oscillation theorems for (1.1) by comparing the solutions to a related equation without...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.10.055