Abstract
In this paper, we consider the existence of periodic solutions for coupled pantograph Rayleigh system, which is a special case of coupled delay Rayleigh system with unbounded memory. The mathematical model of this kind of coupled systems is first proposed. Also, based on a novel method combining coincidence degree theory with Lyapunov method and graph theory, an easily verifiable sufficient criterion is given. As illustrations, a simulation example is presented to show the effectiveness and feasibility of the proposed criterion.
| Original language | English |
|---|---|
| Pages (from-to) | 1667-1679 |
| Number of pages | 13 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 39 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 1 May 2016 |
| Externally published | Yes |
Keywords
- coincidence degree theory
- coupled Rayleigh system
- graph theory
- pantograph equations
- periodic solutions