一类带强迫项的二阶阻尼微分方程的区间振动性

研究了一类带强迫项的非线性二阶阻尼泛函微分方程,利用Riccati变换和完全平方技术,得到了该方程的区间振动准则,所得结果推广和包含了已有文献的研究结果,并给出2个应用实例.

一类二阶中立型泛函微分方程的区间振动性

通过利用平均函数,对一类二阶中立型泛函微分方程建立了一些新的区间振动准则,这些准则不同于已知的依赖于整个区间的性质结果,而是仅依赖于区间的子区间列的性质。

一类二阶非线性中立时滞微分方程的区间振动性

本文主要研究二阶非线性中立时滞微分方程[(r(t)(x(t)+p(t)x(σ(t)))'a-1(x(t)+p(t)x(σ(t)))']'+q(t)f(x(τ(t)))g(x'(t))=0.得到方程的一些新的区间振动的结论.推广和改进了相关的结论.

具有阻尼项的中立型Emden-Fowler方程的区间振动准则

通过利用积分平均技巧和Young不等式,获得了具有时滞和阻尼项的中立型Emden-Fowler方程的区间振动准则,推广和改进了文献中的结果,且它不同于大多数振动结果依赖于整个区间[to,∞)的性质,而是仅依赖于半直线上的某些子区间列的性质.它还适用于极端情形,如∫to∞q(t)dt=-∞.

Interval Criteria for Oscillation of Forced Second-order Half-linear Differential Equations

By employing a generalized Riccati technique and an integral averaging tech-nique, new interval oscillation criteria are established for the forced second-order half-lineardifferential equation [r(t)|x′ (t)|α-1x′ (t)]′ + q(t)|x(t)|α-1x(t) = e(t).

New Interval Oscillation Criteria for Forced Second-order Half-linear Differential Equations

This paper discusses a class of forced second-order half-linear differential equations. By using the generalized Riccati technique and the averaging technique, some new interval oscillation criteria are obtained.

Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential

Interval oscillation criteria are established for a second-order functional dynamic equation of Emden-Fowler type with oscillatory potential by applying Riccati and generalized Riccati techniques. The results represent further improvements on those given even for differential and difference equations. Some examples are considered to illustrate the main results.