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Higher order functional differential systems with parameter dependence
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DOI：10.1016/j.amc.2012.01.043.png)
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摘要
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In this paper, we consider a class of high order functional differential systems depending on a parameter lambda. By using the fixed point index theory, we prove that there exists a positive number (lambda) over tilde separating (0, +infinity) \ {(lambda) over tilde} into two disjoint subintervals Lambda(1) and Lambda(2) such that the system has at least two positive periodic solutions for lambda epsilon Lambda(1), one positive periodic solution for lambda = (lambda) over tilde, and no positive periodic solution for lambda epsilon Lambda(2). Our results extend and improve some results in the literature. As an application, an example is given to demonstrate our main results. (c) 2012 Elsevier Inc. All rights reserved.
Keyword:
High order functional differential systems
Fixed point index
Positive periodic solution
Existence and nonexistence
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3.4
论文数:
2.3W
被引数:
3.3W
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