一类三阶变参数中立型奇性微分方程周期正解的存在性  

Existence of Positive Periodic Solutions for a Third-Order Neutral Singular Differential Equation with Time-Dependent Parameter

作　　者：李盼盼 

机构地区：[1]河南理工大学数学与信息科学学院,河南 焦作

出　　处：《应用数学进展》2022年第11期7636-7646,共11页Advances in Applied Mathematics

摘　　要：本文利用Leray-Schauder型不动点定理和中立型算子的性质,我们证明了三阶变参数中立型奇性微分方程T-周期正解的存在性,其非线性项可以满足次线性、半线性和超线性条件。By using the fixed point theorem of Leray-Schauder type and the properties of neutral operators, we prove that the existence of positive T-periodic solutions for a third-order neutral singular differen-tial equation with time-dependent parameter, the nonlinear term may satisfy sub-linearity, semi-linearity and super-linearity conditions.

关 键 词：中立型算子 周期正解 Leray-Schauder型不动点定理 奇性 变参数 

分 类 号：O175[理学—数学]