Oscillation Criteria for Forced First Order Neutral Differential Equations with Variable Coefficients
نویسندگان
چکیده
منابع مشابه
Oscillation criteria for first-order neutral differential equations
d Ž . Ž . Ž . Sufficient conditions for the oscillation of the equation x t R t x t r dt Ž . Ž . Ž . Ž . Ž . . Ž . P t x t Q t x t 0, where P, Q, R C t , , R , r 0, , 0 Ž . t Ž . , R , , are obtained where R t H Q u du 1 is allowed to t Ž . Ž . Ž . Ž oscillate and the condition H s P s Q s H P u Q u t s 0 . du ds is not necessary. Some examples are given, which show that the results here are al...
متن کاملNew Oscillation Criteria for Second-Order Neutral Delay Differential Equations with Positive and Negative Coefficients
and Applied Analysis 3 By using weaker conditions than in 4, 10 , Karpuz et al. 1 have established oscillation criteria for differential equation [ x t ∑ i∈R ri t x αi t ]′′ ∑ i∈P pi t x ( βi t ) − ∑ i∈Q qi t x ( γi t ) f t . 1.6 In this paper, we shall continue in the direction to study the oscillatory properties of 1.1 and 1.2 . We establish new oscillation criteria for 1.1 and 1.2 , which ex...
متن کاملOscillation Criteria for First-order Forced Nonlinear Difference Equations
where (i) {p(n)}, {e(n)} are sequences of real numbers; (ii) {qi(n)}, i= 1,2, are sequences of positive real numbers; (iii) λ, μ are ratios of positive odd integers with 0 < μ < 1 and λ > 1. By a solution of equation (1, i), i= 1,2,3, we mean a nontrivial sequence {x(n)}which is defined for n ≥ n0 ∈ N = {0,1,2, . . .} and satisfies equation (1, i), i = 1,2,3, and n = 1,2, . . . . A solution {x(...
متن کاملOscillation Criteria for First Order Forced Dynamic Equations
x(t) + r(t)Φγ (x σ (t)) + p(t)Φα (x σ (t)) + q(t)Φβ (x σ (t)) = f(t), with Φη (u) := |u| u, η > 0. Here r(t), p (t) , q(t) and f (t) are rdcontinuous functions on T and the forcing term f(t) is not required to be the derivative of an oscillatory function. Our results in the special cases when T = R and T = N involve and improve some previous oscillation results for first-order differential and ...
متن کاملOscillation criteria for even-order neutral differential equations
Our aim in this paper is to present sufficient conditions for the oscillation of the second order neutral differential equation ( x(t)− px(t− τ ))′′ + q(t)x(σ(t)) = 0.
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: 2001
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7315