Oscillation of second-order damped differential equations
نویسندگان
چکیده
منابع مشابه
Oscillation Theorems for Second-Order Damped Nonlinear Differential Equations
We present new oscillation criteria for the differential equation of the form r t U t ′ p t k2 x t , x′ t |x t |U t q t φ x g1 t , x′ g2 t f x t 0, where U t k1 x t , x′ t |x′ t |α−1x′ t , α ≤ β, ν β − α / α 1 . Our research is different from most known ones in the sense that H function is not employed in our results, though Riccati’s substitution and its generalized forms are used. Our criteri...
متن کاملAnnulus Criteria for Oscillation of Second Order Damped Elliptic Equations
Some annulus oscillation criteria are established for the second order damped elliptic differential equation N X i,j=1 Di[aij(x)Djy] + N X i=1 bi(x)Diy + C(x, y) = 0 under quite general assumption that they are based on the information only on a sequence of annuluses of Ω(r0) rather than on the whole exterior domain Ω(r0). Our results are extensions of those due to Kong for ordinary differentia...
متن کاملOscillation of third-order nonlinear damped delay differential equations
This paper is concerned with the oscillation of certain third-order nonlinear delay differential equations with damping. We give new characterizations of oscillation of the third-order equation in terms of oscillation of a related, well-studied, second-order linear differential equation without damping. We also establish new oscillation results for the third-order equation by using the integral...
متن کاملOscillation of Damped Second Order Nonlinear Delay Differential Equations of Emden–Fowler Type
In this paper we establish some new oscillation criteria for a second order nonlinear delay differential equation of Emden–Fowler type with damping term. These results extend and improve some of the well-known results in the nondelay case. Our results in the delay case are new and can be applied to new classes of equations which are not covered by the known criteria for oscillation. Some select...
متن کاملSome oscillation criteria for a class of second order nonlinear damped differential equations
A class of second order nonlinear damped differential equations is studied and several new oscillation conditions are obtained. Our results extend, improve and unify a number of existing results and handle the cases which are not covered by known criteria. 2014 Elsevier Inc. All rights reserved.
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: 2013
ISSN: 1687-1847
DOI: 10.1186/1687-1847-2013-326