华东师范大学学报（自然科学版）Issue(5)：34-38,5.
一类二阶非线性矩阵微分方程的振动性定理
Oscillation Theorems for Certain Second-Order Nonlinear Matrix Differential Equations
摘要
Abstract
Some new oscillation criteria were established for the second order nonlinear matrix differential system (a(t)X'(t))' + b(t)X'(t) + Q(t)f(X(t)) = 0,t≥t0 > 0, where Q(t), f'(X(t)) are n x n matrices with f'(X(t)) positive definite, and a(t), b(t) are realvalued functions. The criteria were presented in the form of lim sup λ1[.] > const by using a particular function φ(t,s,r) defined as φ(t,s,r) = (t - s)α(s - r)β, where α,β> 1/2 are constants and r≥t0. Our results improve many known oscillation results.关键词
振动性/二阶/矩阵微分方程Key words
oscillation/ second order/ matrix differential equation分类
数理科学引用本文复制引用
徐衍聪,孟凡伟..一类二阶非线性矩阵微分方程的振动性定理[J].华东师范大学学报（自然科学版）,2007,(5):34-38,5.基金项目
山东省自然科学基金(Y2005A06) （Y2005A06）
