一类广义Lasota-Wazewska模型的正概周期解  

Positive Almost Periodic Solutions for a Class of Generalized Lasota-Wazewska Model

作　　者：张若军[1] 张静静 ZHANG Ruojun;ZHANG Jingjing(School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China)

机构地区：[1]中国海洋大学数学科学学院,青岛266100

出　　处：《应用泛函分析学报》2018年第4期354-360,共7页Acta Analysis Functionalis Applicata

摘　　要：本文研究了一类广义的Lasota-Wazewska模型的正概周期解,通过转化模型为一个等价的积分方程,并利用非增算子的锥上不动点定理,建立了该模型正概周期解存在性的新结果,对照已有的工作,本文的方法是新颖的.In this paper, we investigate the positive almost periodic solutions for a class of Lasota-Wazewska model. By transforming the model into an equivalent integral equation, and using a fixed point theorem in cones, a new result about the existence of the positive almost periodic solutions for the model is established. Comparing with some earlier works on the almost periodic solutions for the Lasota-Wazewska model,our method is novel.

关 键 词：广义Lasota-W azewska模型 正概周期解 锥上不动点定理 

分 类 号：O177.2[理学—数学]