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Periodic Solutions of a Second-Order Functional Differential Equation with State-Dependent Argument

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Abstract

In this paper, we use Schauder and Banach fixed point theorem to study the existence, uniqueness and stability of periodic solutions of a class of iterative differential equation

$$\begin{aligned} c_0x''(t)+c_1x'(t)+c_2x(t)=x(p(t)+bx(t))+h(t). \end{aligned}$$

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Authors and Affiliations

  1. School of Mathematics, Chongqing Normal University, Chongqing, 401331, People’s Republic of China

    Hou Yu Zhao

  2. Department of Architectural Economic Management, Shandong Urban Construction Vocational College, Jinan, 250103, Shandong, People’s Republic of China

    Jia Liu

Authors
  1. Hou Yu Zhao
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  2. Jia Liu
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Corresponding author

Correspondence to Hou Yu Zhao.

Additional information

This work was partially supported by the National Natural Science Foundation of China (Grant no. 11501069), Science and Technology Research Program of Chongqing Municipal Education Commission (Grant no. KJQN201800502), Foundation of youth talent of Chongqing Normal University (02030307-00039).

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Zhao, H.Y., Liu, J. Periodic Solutions of a Second-Order Functional Differential Equation with State-Dependent Argument. Mediterr. J. Math. 15, 214 (2018). https://doi.org/10.1007/s00009-018-1261-2

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  • DOI: https://doi.org/10.1007/s00009-018-1261-2

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