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二维一阶非线性方程的反周期解
引用本文:周邵隆.二维一阶非线性方程的反周期解[J].广东工业大学学报,2010,27(1):18-19,24.
作者姓名:周邵隆
作者单位:广东工业大学,应用数学学院,广东,广州,510006
摘    要:在H ilbert空间中考虑二维非线性方程,探讨在何种条件下其具有反周期解.证明在一定条件下,方程具有反周期解.

关 键 词:Leray-Schauder拓扑度  希尔伯特空间  反周期解  

The Existence Problems with Anti-periodic Solutions for Two-dimension Nonlinear Equations
Zhou Shao-long.The Existence Problems with Anti-periodic Solutions for Two-dimension Nonlinear Equations[J].Journal of Guangdong University of Technology,2010,27(1):18-19,24.
Authors:Zhou Shao-long
Affiliation:Faculty of Applied Mathematics;Guangdong University of Technology;Guangzhou 510006;China
Abstract:It discusses the existence problem with anti-periodic solutions for two-dimension nonlinear equation in Hilbert space.Under certain conditions,the equation has been proved to have anti-poriodic solutions.
Keywords:Leray-Schauder degree  Hilbert space  anti-periodic solutions  
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