Positive Non-monotone Solutions of Second-Order Delay Differential Equations

  • George E. Chatzarakis
  • Lana Horvat-Dmitrović
  • Mervan PašićEmail author


In this paper, we study the non-monotonic behavior of solutions of the second-order delay differential equations. We establish the criteria for positive solutions to be non-monotonic on a bounded interval. The results are the first to be reported on the non-monotonic behavior of solutions of functional differential equations. In the final section, two examples are given which illustrate the significance of our results.


Delay differential equations Non-monotonic behavior Second-order Nonlinear term Dual equation 

Mathematics Subject Classification

34A30 34B30 34C10 34C11 


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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2017

Authors and Affiliations

  1. 1.Department of Electrical and Electronic Engineering EducatorsSchool of Pedagogical and Technological Education (ASPETE)AthensGreece
  2. 2.Faculty of Electrical Engineering and Computing Department of Applied MathematicsUniversity of ZagrebZagrebCroatia

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