Banach空间中高阶常微分方程初边值问题的可解性

On the Solvability of Initial and Boundary Value Problems for High Order Ordinary Differential Equations in Banach Spaces

利用基于度理论的不动点定理，该文给出了Ｂａｎａｃｈ空间中ｎ阶常微分方程的初、边值问题有解的某些充分条件，同时证明了一类最大最小解的存在性．推广了现有文献中的某些结果．

In this paper, by using certain fixed points theorem based on the degree theory, some sufficient conditions for the existence of solutions of initial and boundary value prob lems for n order ordinary differential equations in Banach spaces are given, moreover, the authors get existence of maximal and minimal solutions. The results are extension of reference [1 - 2 ].