摘要
本文考虑ｎ阶微分方程：（ｒ（ｔ）ｙ（ｎ－１））’＋ｎ－２∑ｉ＝０ａｉ（ｔ）ｙ（ｉ）＝ｆ（ｔ，ｙ）借助积分不等式，得到了该方程的所有解属于 Ｌ２［０，∞）及有界的充分条件．
In this paper, the following nonlinear nth order differential equation is considered: (r(t)y(n-1))'+n-2∑i=0ai(t)y(i)=f(t,y) with the aid of an integral inequality, obtained some sufficient conditions which guarantee all solutions of the equation are bounded and belong to L2[0, ∞).
出处
《淮北煤师院学报（自然科学版）》
2000年第3期1-5,共5页
Journal of Huaibei Teachers College(Natural Sciences Edition)
基金
国家自然科学基金!(19771053)
山东省青年自然科学基金!(Q97A05116)
关键词
常微分方程
有界性
解
平方可积性
nth order differential equation
quadratic integrability
boundedness.
