摘要
本文主要目的是将著名的Krein-Rutman定理(Usp.Mat.Nauk 3,No.1,23(1948),3~95)从线性全连续映象推广到非线性P_v-紧映象.对锥不作任何正规性假设.
In this paper we extend the famous Krein-Rutman theorem (Usp. Mat. Nauk 3, No. 1,23(1948),3~95) from linear compact map to nonlinear P_v-compact map with v≥0. We avoid unnecessary hypotheses like normality of cones.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
1991年第5期5-6,共2页
Journal of Sichuan Normal University(Natural Science)
关键词
P_v-紧映象
锥
增正齐次映象
固有值
P_v-compact map,cone,increasing and homogeneous map,eigenvalue.