一类非α凹(-α凸)算子方程正解的存在唯一性定理及其应用  

THE THEOREM AND APPLICITION OF THE UNIQUE EXISTENCE OF THE POSITIVE SOLUTION FOR ONE KIND OF NON-α-CONCAVE (-α-CONVEX) OPERATER EQUATION

作　　者：邹文明[1] 

机构地区：[1]北方工业大学基础科学部

出　　处：《北方工业大学学报》1992年第3期14-23,共10页Journal of North China University of Technology

摘　　要：讨论了两类非α凹(-α凸)算子,得到这类算子的正不动点存在性定理,并将此结果应用于Hammerstein积分方程和两点边值问题,获得一些关于正解、迭代序列和收敛速度的结果。In this paper, two kinds of non-α-concave and non (-α) -convex operators are studied. Under the assumption of mixed monotone, a unique existence theorem of the positive fixed point is obtained. With the application of the results obtained to the Hammerstein nonliear integral equations and two-point boundary value problems of differential equations, some new results about positive solution, iterative sequence and convergence rate are obtained.

关 键 词：正解 非α凹算子 存在唯一性 

分 类 号：O177.91[理学—数学]