Oscillation criteria for third-order 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 third-order delay differential equations
By a solution of (.) wemean a function y(t) ∈ C[ty,∞) which has the property r(t)y′(t) ∈ C[ty,∞) and r(t)(r(t)y′(t))′ ∈ C[ty,∞) and satisfies (.) on [ty,∞) for every t ≥ ty ≥ t. We restrict our attention to those solutions of (.) which exist on I and satisfy the condition sup{|x(t)| : t ≥ t} > for any t ≥ ty. We assume that (.) possesses such a solution. A solution y(t) of (...
متن کاملOscillation Criteria for Third-order Functional Differential Equations with Damping
This paper is a continuation of the recent study by Bohner et al [9] on oscillation properties of nonlinear third order functional differential equation under the assumption that the second order differential equation is nonoscillatory. We consider both the delayed and advanced case of the studied equation. The presented results correct and extend earlier ones. Several illustrative examples are...
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 کاملOscillation Criteria for Nonlinear Delay Differential Equations of Second Order∗
We prove oscillation theorems for the nonlinear delay differential equation
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: Advances in Difference Equations
سال: 2017
ISSN: 1687-1847
DOI: 10.1186/s13662-017-1384-y