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

  • Hou Yu ZhaoEmail author
  • Jia Liu


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


Iterative differential equation periodic solutions fixed point theorem 

Mathematics Subject Classification

39B12 39B82 


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.School of MathematicsChongqing Normal UniversityChongqingPeople’s Republic of China
  2. 2.Department of Architectural Economic ManagementShandong Urban Construction Vocational CollegeJinanPeople’s Republic of China

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