二维微分系统解的有界性和全局一致Lipschitz稳定性  

BOUNDEDNESS AND GLOBAL UNIFORM LIPSCHITZ-STABILITY FOR SOLUTIONS OF TWO-DIMENSIONAL DIFFERENTIAL SYSTEMS

作　　者：杨恩浩[1] 甘露如 

机构地区：[1]暨南大学数学系

出　　处：《应用数学学报》1994年第3期364-373,共10页Acta Mathematicae Applicatae Sinica

摘　　要：二维微分系统解的有界性和全局一致Ｌｉｐｓｃｈｉｔｚ稳定性杨恩浩，甘露如（暨南大学数学系，广州５１０６３２）ＢＯＵＮＤＥＤＮＥＳＳＡＮＤＧＬＯＢＡＬＵＮＩＦＯＲＭＬＩＰＳＣＨＩＴＺ－ＳＴＡＢＩＬＩＴＹＦＯＲＳＯＬＵＴＩＯＮＳＯＦＴＷＯ－ＤＩＭＥＮＳＩＯ...By means of two results on linear integral inequalities, components-wise upper bounds are obtained for solutions of some linear and nonlinear two-dimensional systems of ordinary differential equations of first order. These bounds are then applied to derive conditions ensuring boundedness, right-forward continuation of solutions, and the global uniform Lipschitz-stability of the zero solution to the differential systems considered in this paper.

关 键 词：微分系统 解 有界性 稳定性 

分 类 号：O175.13[理学—数学]