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THE V-FUNCTIONAL METHOD FOR THE STABILITY OF DEGENERATE DIFFERENTIAL SYSTEMS WITH DELAYS 被引量:4

THE V-FUNCTIONAL METHOD FOR THE STABILITY OF DEGENERATE DIFFERENTIAL SYSTEMS WITH DELAYS
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摘要 In this paper we establish V-functional criterion theorems for the stability of general autonomous degenerate differential systems with delay. Then for a kind of degenerate differential systems with delay-the mixed systems of difference differential systems with difference systems, we give a specific form of V-functional, a corresponding criterion theorem and examples. Finally, for the stability of two dimension degenerate differential systems with delay, we obtain. the necessary and sufficient condition for the existence of a kind of V-functional. In this paper we establish V-functional criterion theorems for the stability of general autonomous degenerate differential systems with delay. Then for a kind of degenerate differential systems with delay-the mixed systems of difference differential systems with difference systems, we give a specific form of V-functional, a corresponding criterion theorem and examples. Finally, for the stability of two dimension degenerate differential systems with delay, we obtain. the necessary and sufficient condition for the existence of a kind of V-functional.
出处 《Annals of Differential Equations》 2001年第1期10-20,共11页 微分方程年刊(英文版)
关键词 degenerate differential systems with delay stability V-functional degenerate differential systems with delay, stability V-functional
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