【摘要】 利用去奇异化方法讨论了拟线性微分代数方程在奇点邻域内光滑解的性质.通过尺度参数的微分同胚变换,将拟线性微分代数方程转化为相应的常微分方程,从而构造出在孤立奇点邻域内的初始微分代数方程的光滑解,给出解存在的充分条件,并进一步讨论了解的性质.更多还原

【Abstract】 In this paper we use the desingularizing method to discuss smooth solutions of quasi-linear differential-algebraic equations(DAEs) in the neighborhood of singularities. Through a diffeomorphic transformation of the scale parameter,the original quasi-linear DAEs can be changed into a corresponding ODE from which we can construct smooth solutions of DAEs near the isolate singularities.Furthermore,a sufficient condition for the existence of smooth solutions of quasi-linear differential-algebraic equations is presented.更多还原