Oscillation criteria for first order nonlinear delay differential equations
نویسندگان
چکیده
منابع مشابه
On Oscillation Criteria for Third Order Nonlinear Delay Differential Equations
In this paper we are concerned with the oscillation of third order nonlinear delay differential equations of the form ( r2 (t) ( r1 (t)x′ )′)′ + p (t)x′ + q (t) f (x (g (t))) = 0. We establish some new sufficient conditions which insure that every solution of this equation either oscillates or converges to zero.
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 کاملSurvey of Oscillation Criteria for First Order Delay Differential Equations
In this paper, we discuss the oscillatory behavior of first order delay differential equations of the form: y′(t) + p(t)y(τ(t)) = 0, t ≥ T, where p and T are continuous functions defined on [T,∞), p(t) > 0, τ(t) < t for t ≥ T, τ(t) is nondecreasing and lim t→∞ τ(t) = ∞. We present best possible conditions for the oscillation of all solutions for this equation.
متن کاملNew oscillation criteria for first order nonlinear neutral delay differential equations
Oscillation criteria are obtained for all solutions of first-order nonlinear neutral delay differential equations. Our results extend and improve some results well known in the literature. Some examples are considered to illustrate our main results.
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: Hiroshima Mathematical Journal
سال: 2001
ISSN: 0018-2079
DOI: 10.32917/hmj/1151105734