INVARIANT MEASURE AND STATISTICAL SOLUTIONS FOR NON-AUTONOMOUS DISCRETE KLEIN-GORDON-SCHRÖDINGER-TYPE EQUATIONS

Shang Wu; Jianhua Huang

doi:10.11948/20190243

2020 Volume 10 Issue 4

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Shang Wu, Jianhua Huang. INVARIANT MEASURE AND STATISTICAL SOLUTIONS FOR NON-AUTONOMOUS DISCRETE KLEIN-GORDON-SCHRÖDINGER-TYPE EQUATIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(4): 1516-1533. doi: 10.11948/20190243

Citation:

Shang Wu, Jianhua Huang. INVARIANT MEASURE AND STATISTICAL SOLUTIONS FOR NON-AUTONOMOUS DISCRETE KLEIN-GORDON-SCHRÖDINGER-TYPE EQUATIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(4): 1516-1533. doi: 10.11948/20190243

INVARIANT MEASURE AND STATISTICAL SOLUTIONS FOR NON-AUTONOMOUS DISCRETE KLEIN-GORDON-SCHRÖDINGER-TYPE EQUATIONS

Shang Wu¹,
Jianhua Huang^1, ,

1.
College of Liberal Arts and Science, National University of Defense Technology, Deya Road, Changsha, 410073, China

Corresponding author: Email address:jhhuang32@nudt.edu.cn(J. Huang)
Fund Project: The authors were supported by National Natural Science Foundation of China (11771449, 11571226) and China Postdoctoral Science Foundation(2018M633663)

Abstract

Abstract

In this article, we first prove the existence of the pullback attractor for no-autonomous discrete Klein-Gordon-Schrödinger-type equations. Then we construct the invariant measure and statistical solutions for this discrete equations via the generalized Banach limit.
- Discrete Klein-Gordon-Schrödinger-type equations /
- pullback attractor /
- invariant measures /
- statistical solutions
MSC: 35B41, 35D99, 76F20

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References

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