On oscillatory solutions of the fourth order differential equations with the middle term

被引:1
|
作者
Sobalová, M [1 ]
机构
[1] Masaryk Univ, Fac Sci, Dept Math, Brno 66295, Czech Republic
关键词
the fourth order differential equation; oscillatory solution;
D O I
10.1016/S0362-546X(01)00477-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the paper the fourth order nonlinear differential equation y((4)) + (q(t)y')' + r(t)f(y) = 0, where q, r is an element of C-0 ([0, infinity)), f is an element of C-0(R), q less than or equal to 0, r greater than or equal to 0 and f(x)x > 0 for x not equal 0 is considered. The structure of proper solutions, the existence of oscillatory solutions and asymptotic properties of solutions of this equation are investigated.
引用
收藏
页码:3573 / 3578
页数:6
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