Three positive doubly periodic solutions of a nonlinear telegraph system
Three positive doubly periodic solutions of a nonlinear telegraph system
This paper studies existence of at least three positive doubly periodic solutions of a coupled nonlinear telegraph system with doubly periodic boundary conditions. First, by using the Green function and maximum principle, existence of solutions of a nonlinear telegraph system is equivalent to existence of fixed points of an operator. By imposing growth conditions on the nonlinearities, existence of at least three fixed points in cone is obtained by using the Leggett-Williams fixed point theorem to cones in ordered Banach spaces. In other words, there exist at least three positive doubly periodic solutions of nonlinear telegraph system.
- 作 者：
Fang-lei WANG
Yu-kun AN
- 作者单位：Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China
- 刊 名：应用数学和力学（英文版） EI SCI
- 英文刊名：APPLIED MATHEMATICS AND MECHANICS
- 年，卷(期)：2009 30(1)
- 分类号：O3
- 关键词：telegraph system doubly periodic solution cone fixed point theorem
- 机标关键词：periodic solutionsfixed pointsordered Banach spacesfixed point theoremboundary conditionsthe Green functionmaximum principle
- 基金项目：
- 作者单位：Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China
