Rn空间中初值问题的广义拟线性化方法
Generalized Quasilinearization Method of Initial Value Problems in Rn Spaces
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摘要: 本文用广义拟线性化方法在Rn空间中研究了初值问题x'=f(t,x),x(0)=x0的解,首先建立了一个比较定理,本文的主要结论是定理2,该定理推广了文(1)的结果.Abstract: In this paper,the solvability of the IVP x'=f(t,x),x(0)=x0 in Rn spaces has been discussed by means of generalized quasilinearization method.At first,a comparison theorem has been given.The main consequence is theorem 2 which has extended the result in the paper(1).