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
Oscillation criteria for forced second-order nonlinear differential equations with damping
β Scribed by Yan Huang; Fanwei Meng
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 555 KB
- Volume
- 224
- Category
- Article
- ISSN
- 0377-0427
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This paper is concerned with the oscillation of a class of general type second-order differential equations with nonlinear damping. Several new oscillation criteria are established under quite general assumptions, which improve and extend the known results in the literature.
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
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