Fourth-Order Differential Equation with Deviating Argument

被引：24
|
作者：
Bartusek, M. [1 ]
Cecchi, M. [2 ]
Dosla, Z. [1 ]
Marini, M. [2 ]
机构：
[1] Masaryk Univ, Dept Math & Stat, CS-61137 Brno, Czech Republic
[2] Univ Florence, Dept Elect & Telecommun, I-50139 Florence, Italy
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
POSITIVE SOLUTIONS; EXISTENCE;
D O I：
10.1155/2012/185242
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the fourth-order differential equation with middle-term and deviating argument x((4))(t) + q(t)x((2))(t) + r(t)f(x(phi(t))) = 0, in case when the corresponding second-order equation h '' + q(t)h = 0 is oscillatory. Necessary and sufficient conditions for the existence of bounded and unbounded asymptotically linear solutions are given. The roles of the deviating argument and the nonlinearity are explained, too.
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页数：17
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