Multiple Periodic solutions and Positive Homoclinic Solution for a differential equation

被引：3

作者：

de Araujo, Anderson L. A. ^{[1
]}

Pedroso, Kennedy Martins ^{[1
]}

机构：

[1] Univ Fed Vicosa, Dept Matemat, BR-36570000 Vicosa, MG, Brazil

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2013年 / 20卷 / 03期

关键词：

Ordinary differential equations; periodic solutions; Homoclinic solutions; fixed point theorems;

D O I：

10.36045/bbms/1378314514

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(2) + c(t)x(3) = 0, where a(t), b(t), c(t) are T-periodic functions. This is a biomathematical model of an aneurysm in the circle of Willis. We prove the existence of at least two T-periodic solution for this equation, using coincidence degree theories.

引用

页码：535 / 546

页数：12

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