二阶非线性阻尼差分方程的振动性

Oscillations of Second Order Nonlinear Difference Equations with Damping Term

研究一类带有负的或振动阻尼项的二阶非线性差分方程,利用分部差分法以及差分不等式,建立该类方程振动的一个新准则,推广了文献[1]~[3]的结果.

A kind of second order nonlinear difference equation with negative on vibration damping is studied. By using the method of difference and difference inequality, a new departmental oscillatory criterion for the equation is given, the research generalizes the results in [ 1--3].