基于约束区间运算的区间线性微分方程组零解的稳定性

基于约束区间运算,本文研究了区间线性微分方程组的基本解矩阵,利用约束区间矩阵特征值,给出了区间线性微分方程组零解渐近稳定、稳定、不稳定的充要条件。具体的例子表明,区间线性微分方程零解的稳定性,不仅随着约束区间表达式中参数的变化而变化,个别问题也随着方程组维数的变化而变化。

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.