Oscillation Criteria for Qusilinear Even-Order Differential Equations
نویسندگان
چکیده
In this study, we extended and improved the oscillation criteria previously established for second-order differential equations to even-order equations. Some examples are given demonstrate significance of results accomplished.
منابع مشابه
Oscillation 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 کاملOscillation Theorems for Certain Even Order Neutral Differential Equations
This paper is concerned with a class of even order nonlinear differential equations of the form d dt “ ̨
متن کاملOscillation Results for Even-order Quasilinear Neutral Functional Differential Equations
In this article, we use the Riccati transformation technique and some inequalities, to establish oscillation theorems for all solutions to evenorder quasilinear neutral differential equation “ˆ` x(t) + p(t)x(τ(t)) ́(n−1) ̃γ”′ + q(t)x ` σ(t) ́ = 0, t ≥ t0. Our main results are illustrated with examples.
متن کاملOscillation criteria for even-order half-linear functional differential equations with damping
In this paper, a class of even-order half-linear functional differential equations with damping is studied. By using the generalized Riccati transformation and the integral averaging technique, six new oscillation criterias are obtained for all solutions of the equations. The results obtained generalize and improve some known results.
متن کاملOscillation Criteria for Certain Even Order Differential Equations with Distributed Deviating Arguments
By using averaging function and the approach developed by Philos and Kong, Kamenevtype and interval oscillation criteria are established for the even order differential equation with distributed deviating arguments, (r(t)|x(n−1)(t)|p−1x(n−1)(t))′ + β ∫ α F [t,ξ ,x(g(t,ξ ))]dσ(ξ ) = 0. The obtained results are extensions of existing ones for second order linear differential equations. Mathematic...
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: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11122782