The Kamenev type oscillation criteria of nonlinear differential equations under impulse effects

Advances in Difference Equations

Wu-Sheng Wang¹  Xiaoliang Zhou² 

[1] Department of Mathematics, Hechi University, Yizhou, P.R. China;Department of Mathematics, Lingnan Normal University, Zhanjiang, P.R. China

关键词: interval oscillation;    Riccati transformation;    impulse;    damping;    34C15;    34A37;    65L03;   

DOI  :  10.1186/s13662-016-0911-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a general class of second-order nonlinear damped differential equations under impulse effects is studied. By introducing an auxiliary function of two variables and using Riccati transformation, several Kamenev type interval oscillation criteria are established, which generalize and extend some known ones, such as those of Huang and Feng. Moreover, examples are given to illustrate the effectiveness and non-emptiness of our results.

【 授权许可】

CC BY