宋福民. Rn空间中初值问题的广义拟线性化方法[J]. 南昌航空大学学报(自然科学版), 2001, 15(1): 60-63.
引用本文: 宋福民. Rn空间中初值问题的广义拟线性化方法[J]. 南昌航空大学学报(自然科学版), 2001, 15(1): 60-63.
Song Fu-min. Generalized Quasilinearization Method of Initial Value Problems in Rn Spaces[J]. Journal of nanchang hangkong university(Natural science edition), 2001, 15(1): 60-63.
Citation: Song Fu-min. Generalized Quasilinearization Method of Initial Value Problems in Rn Spaces[J]. Journal of nanchang hangkong university(Natural science edition), 2001, 15(1): 60-63.

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

  • 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).

     

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