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 (α + 1)-degree functional is involved for oscillation, which is widely used in variational theories
Interval oscillation criteria for second-order forced delay dynamic equations with mixed nonlinearities
✍ Scribed by Ravi P. Agarwal; Douglas R. Anderson; Ağacık Zafer
- Book ID
- 108077471
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 888 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
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📜 SIMILAR VOLUMES
Some new criteria for the oscillation of certain difference equations with mixed nonlinearities are established. The main tool in the proofs is an inequality due to Hardy, Littlewood, and Pólya.
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
Some new sufficient conditions for the oscillation criteria are given for the forced second-order nonlinear differential equations with delayed argument in the form, ## • " (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