ALMOST AUTOMORPHIC DYNAMICS OF GENERALIZED LI&#201;NARD EQUATION

Zhinan Xia; Meng Fan; Ravi P Agarwal

doi:10.11948/2017002

2017 Volume 7 Issue 1

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Zhinan Xia, Meng Fan, Ravi P Agarwal. ALMOST AUTOMORPHIC DYNAMICS OF GENERALIZED LIÉNARD EQUATION[J]. Journal of Applied Analysis & Computation, 2017, 7(1): 20-38. doi: 10.11948/2017002

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Zhinan Xia, Meng Fan, Ravi P Agarwal. ALMOST AUTOMORPHIC DYNAMICS OF GENERALIZED LIÉNARD EQUATION[J]. Journal of Applied Analysis & Computation, 2017, 7(1): 20-38. doi: 10.11948/2017002

ALMOST AUTOMORPHIC DYNAMICS OF GENERALIZED LIÉNARD EQUATION

1 School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin, 130024, China;
2 Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang, 310023, China;
3 Department of Mathematics, Texas A & M University, Kingsville, TX 78363-8202, USA

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Abstract

Abstract

In this study, we focus on the solutions of the Liénard equation being bounded in the future and characterize the almost automorphic, asymptotically almost automorphic, and weighted pseudo almost automorphic dynamics. An example is presented to illustrate the main findings.
- Almost automorophy /
- asymptotically almost automorphy /
- weighted pseudo almost automorphy /
- Liénard equation
MSC: 43A60;35B40

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References

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