An oscillation criterion for nonhomogeneous half-linear differential equations
نویسندگان
چکیده
منابع مشابه
Sharp Oscillation Criteria for Fourth Order Sub-half-linear and Super-half-linear Differential Equations
This paper is concerned with the oscillatory behavior of the fourth-order nonlinear differential equation (E) (p(t)|x| x)′′ + q(t)|x|x = 0 , where α > 0, β > 0 are constants and p, q : [a,∞) → (0,∞) are continuous functions satisfying conditions
متن کاملOscillation of Second Order Half-linear Differential Equations with Damping
This paper is concerned with a class of second order half-linear damped differential equations. Using the generalized Riccati transformation and the averaging technique, new oscillation criteria are obtained which are either extensions of or complementary to a number of the existing results. 2000 Mathematics Subject Classification: 34A30, 34C10.
متن کاملForced oscillation of super-half-linear impulsive differential equations
By using a Picone type formula in comparison with oscillatory unforced half-linear equations, we derive new oscillation criteria for second order forced super-half-linear impulsive differential equations having fixed moments of impulse actions. In the superlinear case, the effect of a damping term is also considered. c © 2007 Elsevier Ltd. All rights reserved.
متن کاملConditional Oscillation of Half-linear Differential Equations with Periodic Coefficients
We show that the half-linear differential equation (∗) [ r(t)Φ(x′) ]′ + s(t) tp Φ(x) = 0 with α-periodic positive functions r, s is conditionally oscillatory, i.e., there exists a constant K > 0 such that (∗) with γs(t) tp instead of s(t) tp is oscillatory for γ > K and nonoscillatory for γ < K.
متن کاملAn Oscillation Criterion for Nonlinear Third-order Differential Equations
Sufficient conditions for oscillation of a certain class of nonlinear third-order differential equations are found. In this paper we considear a nonlinear third-order differential equation of the form y′′′ + q(t)y′ = f(t, y, y′, y′′) (1) where (i) q, q′ ∈ C ( (a,∞) ) for some a with 0 < a < ∞, (ii) f ∈ C ( (a,∞)×R3 ) , t ∈ (a,∞), and y1, y2, y3 ∈ R and f(t, y1, y2, y3)y1 < 0 for all t ∈ (a,∞) a...
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: Applied Mathematics Letters
سال: 2002
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(01)00127-6