Three Positive Periodic Solutions for a Class of Higher-Dimensional Functional Differential Equations with Impulses on Time Scales

被引:0
作者
Yongkun Li
Meng Hu
机构
[1] Yunnan University,Department of Mathematics
[2] Anyang Normal University,Department of Mathematics
来源
Advances in Difference Equations | / 2009卷
关键词
Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Analysis; Periodic Solution;
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摘要
By using a multiple fixed point theorem (Avery-Peterson fixed point theorem) for cones, some criteria are established for the existence of three positive periodic solutions for a class of higher-dimensional functional differential equations with impulses on time scales of the following form: [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] where [inline-graphic not available: see fulltext] is a nonsingular matrix with continuous real-valued functions as its elements. Finally, an example is presented to illustrate the feasibility and effectiveness of the results.
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