作　　者： ; (甘露如）;

机构地区： 暨南大学信息科学技术学院数学系

出　　处： 《应用数学学报》 1994年第3期364-373,共10页

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

领　　域： [理学] [理学]