有序Banach空间中一类算子方程的正解

Positive Solutions of a Class of Operator Equations in Ordered Banach Spaces

中文关键词:  有序Banach空间  算子方程  正解  不动点定理

中文摘要:

      本文考虑有序Ｂａｎａｃｈ空间中形如：ｘ＝ｙ＋Ｋｆ（·，Ｐ_１ｘ，…，Ｐ_ｎｘ）的算子方程，利用一定的不动点定理，得到了这类方程存在正解的某些充分条件。

英文摘要:

      In this paper we consider operator equations in ordered Banach spaces of the formx=y+Kf· ,P₁x,···,P_ｎx). By means of some fixed point theorems, we obtain somesufficient conditions for such an equation to have positive solutions.