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
Oscillation criteria for second order forced elliptic differential equations with mixed nonlinearities
β Scribed by Zhiting Xu
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 292 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
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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
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.