Existence of periodic solutions for a nonautonomous differential equation

被引：0
|
作者：
Albuquerque de Araujo, Anderson Luis [1 ]
Martins, Ricardo Miranda [2 ]
机构：
[1] DMA UFV, BR-36570000 Vicosa, MG, Brazil
[2] IMECC UNICAMP, BR-13083970 Campinas, SP, Brazil
来源：
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2012年 / 19卷 / 02期
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D O I：
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the nonautonomous differential equation of second order x '' + a(t)x - b(t)x' + c(t)x(2k+1) = 0, where a(t), b(t), c(t) are T-periodic functions and 2 <= l < 2k + 1. This is a generalization of a biomathematical model of an aneurysm in the circle of Willis. We prove the existence of a T-periodic solution for this equation, using a saddle-point theorem.
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页码：305 / 310
页数：6
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