Interval Oscillation Criteria Related to Integral Averaging Technique for Certain Nonlinear Differential Equations

By Wan-Tong Li, Ravi P. Agarwal. 2000

52 citations recorded by the source corpus.

Abstract We present new interval oscillation criteria related to integral averaging technique for certain classes of second order nonlinear differential equations 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 , ∞), 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. In particular, several examples that dwell upon the sharp conditions of our results are also included.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/871a17950a85c1d4b99b04b315197360b6533704

Citations in the corpus

• INTERVAL OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING (2003, unknown): “Motivated by the ideas of Kong [11] and Li and Agarwal [15], in this paper we obtain, by using a generalized Riccati technique, several new interval criteria for oscillation, that is, criteria given by the behavior of Eq.”