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
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。
Abstract: 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.
文章引用：李盼盼. 一类三阶变参数中立型奇性微分方程周期正解的存在性[J]. 应用数学进展, 2022, 11(11): 7636-7646. https://doi.org/10.12677/AAM.2022.1111808

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