Taiwanese Journal of Mathematics

INTERVAL OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING

Wan-Tong Li

Full-text: Open access

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

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500558398

Digital Object Identifier
doi:10.11650/twjm/1500558398

Mathematical Reviews number (MathSciNet)
MR1998768

Zentralblatt MATH identifier
1046.34059

Subjects
Primary: 34C10: Oscillation theory, zeros, disconjugacy and comparison theory 34C15: Nonlinear oscillations, coupled oscillators

Keywords
interval criteria oscillation second order nonlinear differential equations integral averaging technique

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


Export citation