Front-Like Entire Solutions to Lattice Periodic Dynamic Systems With Delays and Global Interaction

XUE Xue

doi:10.21656/1000-0887.400170

Volume 41 Issue 2

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XUE Xue. Front-Like Entire Solutions to Lattice Periodic Dynamic Systems With Delays and Global Interaction[J]. Applied Mathematics and Mechanics, 2020, 41(2): 223-234. doi: 10.21656/1000-0887.400170

Citation:

XUE Xue. Front-Like Entire Solutions to Lattice Periodic Dynamic Systems With Delays and Global Interaction[J]. Applied Mathematics and Mechanics, 2020, 41(2): 223-234. doi: 10.21656/1000-0887.400170

Citation:

XUE Xue. Front-Like Entire Solutions to Lattice Periodic Dynamic Systems With Delays and Global Interaction[J]. Applied Mathematics and Mechanics, 2020, 41(2): 223-234. doi: 10.21656/1000-0887.400170

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Front-Like Entire Solutions to Lattice Periodic Dynamic Systems With Delays and Global Interaction

doi: 10.21656/1000-0887.400170

XUE Xue

School of Mathematics and Statistics, Xidian University, Xi’an 710071, P.R.China

Funds: The National Natural Science Foundation of China(11671315）

Received Date: 2019-05-15
Publish Date: 2020-02-01

Abstract

Abstract

The front-like entire solutions to lattice periodic dynamic systems with delays and global interaction were investigated. Through establishment of appropriate comparison theorems, some front-like entire solutions were constructed out of mixture of the traveling fronts with different directions of propagation and spatially periodic solutions connecting unstable equilibrium and stable equilibrium. Some properties of these entire solutions were also discussed. The front-like entire solutions, exhibiting new characteristic behaviors in the front dynamics, are different from the traveling fronts.
- lattice periodic dynamic system,
- spatially periodic solution,
- front-like entire solution,
- comparison theorem

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References(21)

References

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