ULTIMATE BOUNDEDNESS RESULTS FOR SOLUTIONS OF CERTAIN THIRD ORDER NONLINEAR MATRIX DIFFERENTIAL EQUATIONS

被引：0

作者：

Omeike, M. O. ^{[1
]}

Afiwape, A. U. ^{[2
]}

机构：

[1] Univ Agr, Dept Math, Abeokuta, Nigeria

[2] Univ Antioquia, Dept Math, Medellin 1226, Colombia

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2010年 / 33卷

关键词：

Matrix differential equation; Lyapunov function; Boundedness;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present in this paper ultimate boundedness results for a third order nonlinear matrix differential equations of the form X + AX + BX + H(X) = P (t, X, X, X), where A, B are constant symmetric n x n matrices, X, H(X) and P (t, X, X, X) are real n x n matrices continuous in their respective arguments. Our results give a matrix analogue of earlier results of Afuwape [1] and Meng [4], and extend other earlier results for the case in which we do not necessarily require that H(X) be differentiable.

引用

页码：83 / 94

页数：12

共 9 条

[1]

Afuwape A. U., 2004, ACTA U PALACK OLOMUC, V43, P7

[2] ULTIMATE BOUNDEDNESS RESULTS FOR A CERTAIN SYSTEM OF 3RD-ORDER NON-LINEAR DIFFERENTIAL-EQUATIONS [J].