By using Riccati transformation, new oscillation criteria are given for forced second order differential equations with mixed nonlinearities, which improve and generalize results in the literature. An (Ξ± + 1)-degree functional is involved for oscillation, which is widely used in variational theories
An oscillation theorem for a class of second-order forced neutral delay differential equations with mixed nonlinearities
β Scribed by Jichao Zhong; Zigen Ouyang; Shuliang Zou
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 218 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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π SIMILAR VOLUMES
Some new sufficient conditions for the oscillation criteria are given for the forced second-order nonlinear differential equations with delayed argument in the form, ## β’ " (t) + q (t) f (z (~-(t))) = e (t) The results are based on the information only on a sequence of subintervals of [to, oc) ra
In this paper, we are concerned with the oscillations in a class of forced second-order differential equations with nonlinear damping terms. By using an inequality due to Hardy et al., several new interval oscillation criteria for the equations are established. These criteria are different from most
zero solution of this equation with unbounded delay to be uniformly stable as well as asymptotically stable.