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On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays

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  • Qiang Li
  • Yongxiang Li

Abstract

The existence results of positive ω -periodic solutions are obtained for the second-order functional differential equation with multiple delays , where is a positive ω -periodic function, is a continuous function which is ω -periodic in t , and are ω -periodic functions. The existence conditions concern the first eigenvalue of the associated linear periodic boundary problem. Our discussion is based on the fixed-point index theory in cones.

Suggested Citation

  • Qiang Li & Yongxiang Li, 2012. "On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, December.
    • Handle: RePEc:hin:jnlaaa:929870
    DOI: 10.1155/2012/929870
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