In chapter three, we discuss the oscillation of second order nonlinear differential equation with forced terms. Using Riccati transformation, some criteria are given for the oscillation of bounded solution of the equation.
第三章研究了带有阻尼项的二阶微分方程的振动性,利用Riccati变换,给出了方程有界解振动准则,且对一些特殊情形得到非振动解的一些性质。
参考来源 - 几类微分方程和差分方程解的性质·2,447,543篇论文数据，部分数据来源于NoteExpress
The existence of the bounded solution of unstable internal dynamics is the key to tracking reference trajectory stably.
研究表明，不稳定内部动态有界解的存在性是非最小相位系统能够稳定跟踪期望输出轨迹的关键。
Supposing that the reference trajectory is generated by a stable system, the bounded solution of non hyperbolic internal dynamics is existed by using center manifold theory.
假设期望轨迹由某一稳定外部系统产生，利用中心流形的理论，证明了系统内部动态有界解是存在的。
The nonexistence theorem of radial positive solution, sufficient conditions of oscillation and boundedness of radial solution and estimation for bounded solution are given in this paper.
给出了问题径向正解的非存在性，解的振荡性及有界性的充分条件，并对有界解进行了估计。
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