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Interval oscillation criteria for second-order nonlinear differential equations with damping

✍ Scribed by Wan-Tong Li; R.P. Agarwal

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
625 KB
Volume
40
Category
Article
ISSN
0898-1221

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✦ Synopsis

New oscillation criteria are established for the nonlinear damped differential equation (ryl)l +pyl + qf(y) __ 0 that are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [to, oo), rather than on the whole half-line. Our results are sharper than some previous results, and extend and improve the recent interval criteria of Kong and Huang, and can be applied to extreme cases such as ./to q(s) ds = -~. In particular, several examples that dwell upon the sharp conditions of our results are also included. (~) 2000 Elsevier Science Ltd. All rights reserved.

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