Interval criteria for oscillation of second-order half-linear differential equations |
| |
Authors: | Qi-Ru Wang Qi-Gui Yang |
| |
Institution: | a Department of Mathematics, Sun Yat-Sen (Zhongshan) University, Guangzhou 510275, People's Republic of China b Department of Mathematics, Guangxi Normal University, Guilin 541004, People's Republic of China |
| |
Abstract: | By employing a generalized Riccati technique and an integral averaging method, interval oscillation criteria are established for the second-order half-linear differential equation r(t)|x′(t)|α−1x′(t)]′+q(t)|x(t)|α−1x(t)=0. These criteria are different from most known ones in the sense that they are based on information only on a sequence of subintervals of t0,∞), rather than on the whole half-line. They also extend, improve, and complement a number of existing results, and can be applied to extreme cases such as . In particular, several interesting examples that illustrate the importance of our results are included. |
| |
Keywords: | Half-linear differential equation Interval criteria Oscillation Generalized Riccati technique Integral averaging method |
本文献已被 ScienceDirect 等数据库收录! |
|