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Exponential Attractivity in a Delayed Almost Periodic Differential Neoclassical Growth System

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Abstract

This paper investigates a delayed coupled almost periodic differential neoclassical growth system. By using the theory of dichotomy and differential inequality techniques, a new set of sufficient conditions is derived to guarantee the existence and exponential attractivity of almost periodic solutions for the addressed system. In addition, an example is given to exhibit the efficiency of the theoretical results. The obtained results are essentially new and extend previously known results.

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Acknowledgements

We would like to thank the anonymous referees for carefully reading the original manuscript and for the constructive comments and suggestions to improve the presentation of this paper. This work was completed when the first author was visiting Prof. Xianhua Tang at Central South University, and he would like to thank the staff in the School of Mathematics and Statistics for their help and thank the university for its excellent facilities and support during his stay.

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Authors and Affiliations

  1. School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, 232001, Anhui, People’s Republic of China

    Lian Duan & Fengjun Di

  2. School of Mathematics and Statistics, Central South University, Changsha, 410083, Hunan, People’s Republic of China

    Lian Duan

  3. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha, 410114, Hunan, People’s Republic of China

    Lian Duan

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  1. Lian Duan
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  2. Fengjun Di
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Correspondence to Lian Duan.

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This works was supported by the National Natural Science Foundation of China (11701007), Natural Science Foundation of Anhui Province (1808085QA01), Key Program of University Natural Science Research Fund of Anhui Province (KJ2017A088), China Postdoctoral Science Foundation (2018M640579), Open Fund of Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (2018MMAEZD17), Key Program of Scientific Research Fund for Young Teachers of AUST (QN201605) and the Doctoral Fund of AUST(11668).

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Duan, L., Di, F. Exponential Attractivity in a Delayed Almost Periodic Differential Neoclassical Growth System. Qual. Theory Dyn. Syst. 18, 653–665 (2019). https://doi.org/10.1007/s12346-018-0305-0

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  • DOI: https://doi.org/10.1007/s12346-018-0305-0

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