NEW OSCILLATION CRITERIA FOR SECOND-ORDER NONLINEAR MATRIX DIFFERENTIAL EQUATIONS

作     者：Xu Yancong Meng Fanwei Xu Yancong;Meng Fanwei

作者机构：Dept.of Math. East China Normal Univ. Shanghai 200062 China. Dept.of Math. Qufu Normal Univ.Shandong 273165 China. 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2006年第21卷第3期

页      面：313-319页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by NECC and NSF of Shandong Proyilice China(Y2005A06) 

主　　题：Matrix differential equation Oscillation Riccati technique. 

摘      要：Some new oscillation criteria are established for the second-order matrix differential system （r（t）Z＇（t））＇ ＋ p（t）Z＇（t） ＋ Q（t）F（Z＇（t））G（Z（t）） = 0, t ≥ to 〉 0, are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [to,∞）, rather than on the whole half-line. The results weaken the condition of Q（t） and generalize some well-known results of Wong （1999） to nonlinear matrix differential equation.