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

被引:5
|
作者
Li, Yongkun [1 ]
Hu, Meng [1 ,2 ]
机构
[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China
[2] Anyang Normal Univ, Dept Math, Anyang 455000, Henan, Peoples R China
关键词
EXISTENCE;
D O I
10.1155/2009/698463
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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: x(Delta)(t) = A(t)x(t) + f(t, x(t)), t not equal t(j), t is an element of T, x(t(j)(+)) = x(t(j)(-)) + I-j(x(t(j))), where A (t) = (a(ij)(t))(nxn) 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. Copyright (C) 2009 Y. Li and M. Hu.
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页数:18
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