Integral averaging technique for oscillation of damped half-linear oscillators
Yukihide Enaka, Masakazu Onitsuka (2018)
Czechoslovak Mathematical Journal
Similarity:
This paper is concerned with the oscillatory behavior of the damped half-linear oscillator , where for and . A sufficient condition is established for oscillation of all nontrivial solutions of the damped half-linear oscillator under the integral averaging conditions. The main result can be given by using a generalized Young’s inequality and the Riccati type technique. Some examples are included to illustrate the result. Especially, an example which asserts that all nontrivial...