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2 results on '"Liu, Yingdong"'

1. The existence, uniqueness and stability of positive periodic solution for periodic reaction-diffusion system

Author

Liu Yingdong, Ye Qixiao, and Li Zhengyuan

Subjects
Applied Mathematics, Reaction–diffusion system, Mathematical analysis, Uniqueness, Stability (probability), Mathematics
Abstract

The existence of periodic solutions for periodic reaction-diffusion systems with time delay by the periodic upper-lower solution method is investigated. Some methods for proving the uniqueness and the stability of the periodic solution are also given. Two examples are used to show how to use our methods.

Published
2001

2. The attractors of partial differential equations

Author

Liu Yingdong and Li Zhengyuan

Subjects
Nonlinear system, Partial differential equation, Simple (abstract algebra), Applied Mathematics, Mathematical analysis, Attractor, Structure (category theory), First-order partial differential equation, Delay differential equation, Damped wave, Mathematics
Abstract

In this paper the reaction-diffusion systems and the damped wave systems with non-linear terms of gradient form are studied, and the conditions for making them to be gradient systems are given. So the structure of attractors is clear and simple in some sense by the known result. Some examples are given. Also the reaction-diffusion systems with general nonlinear terms are discussed.

Published
2000

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