Periodicity of Scalar Dynamic Equations and Applications to Population Models
Easily verifiable sufficient criteria are established for the existence of periodic solutions of a class of nonautonomous scalar dynamic equations on time scales, which incorporate as special cases many single species models governed by ordinary differential and difference equations when the time scale is the set of all real and all integer numbers, respectively.
M. Fan et al., "Periodicity of Scalar Dynamic Equations and Applications to Population Models," Journal of Mathematical Analysis and Applications, Elsevier, Jun 2007.
The definitive version is available at http://dx.doi.org/10.1016/j.jmaa.2006.04.084
Mathematics and Statistics
Keywords and Phrases
Coincidence Degree; Periodic Solutions; Time Scales
Article - Journal
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