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

Qiang Li and Yongxiang Li

Abstract and Applied Analysis, 2012, vol. 2012, 1-13

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:929870

DOI: 10.1155/2012/929870

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