IJPAM: Volume 71, No. 4 (2011)
SYSTEMS ON TIME SCALES
Department of Industry Cooperation
Kunming Metallurgy College
Kunming, Yunnan, 650033, P.R. CHINA
Department of Mathematics
Kunming, Yunnan, 650091, P.R. CHINA
Abstract. By using a fixed point theorem of strict-set-contraction, some sufficient conditions are obtained for the existence of positive periodic solutions for a periodic neutral Lotka- Volterra competition system on time scales of the form
where are -periodic functions, and are -periodic functions with respect to their first arguments, respectively.
Received: April 18, 2011
AMS Subject Classification: 34K13, 34K40, 34N05
Key Words and Phrases: positive periodic solution, neutral Lotka-Volterra system, time scales, strict-set-contraction
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395