## Taiwanese Journal of Mathematics

### INTERVAL OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING

Wan-Tong Li

#### Abstract

We present new interval oscillation criteria for certain classes of second order nonlinear differential equations with damping that are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of $[t_0,\infty)$, rather than on the whole half-line. Our results are sharper than some previous results and handle the cases which are not covered by known criteria. Finally, several examples that dwell upon the sharp conditions of our results are also included.

#### Article information

Source
Taiwanese J. Math., Volume 7, Number 3 (2003), 461-475.

Dates
First available in Project Euclid: 20 July 2017

https://projecteuclid.org/euclid.twjm/1500558398

Digital Object Identifier
doi:10.11650/twjm/1500558398

Mathematical Reviews number (MathSciNet)
MR1998768

Zentralblatt MATH identifier
1046.34059

#### Citation

Li, Wan-Tong. INTERVAL OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING. Taiwanese J. Math. 7 (2003), no. 3, 461--475. doi:10.11650/twjm/1500558398. https://projecteuclid.org/euclid.twjm/1500558398