【摘要】 本文将[1]的结果推广至三维空间变系数系统,首先研究三维变系数线性系统V函数的构造,然后用类比法得到非线性非自治系统V函数,进而讨论带强迫项的三维非线性非自治系统解的一致有界性,最后把定理4推广到n维空间中去。更多还原

【Abstract】 The results of Gu Jiande are extended to the systems with variable coefficients. At first the author construct V-Functions for linear systems, then using the method of analogy V-Functions for nonlinear systems with variable coefficients are obtained. The uniform boundedness of nonlinear and nonautonomous systems with forcing term is also studied.更多还原