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The Solvability of the Degenerate Differential Systems with Delay 被引量:5
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作者 蒋威 郑祖庥 《Chinese Quarterly Journal of Mathematics》 CSCD 2000年第3期1-7,共7页
In this paper we study the degenerate differential system with delay:E(t)=Ax(t)+Bx(t-1)+f(t),give the canonical form of this systems and study this form of degeneration system with delay,have some results for the so... In this paper we study the degenerate differential system with delay:E(t)=Ax(t)+Bx(t-1)+f(t),give the canonical form of this systems and study this form of degeneration system with delay,have some results for the solvability of such systems and the uniqueness of their solutions. 展开更多
关键词 degenerate differential system with delay regular system SOLVABILITY
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The Algebraic Criteria for the All-delay Stabilityof Two-dim ensional Degenerate Differential System swith Delay 被引量:12
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作者 蒋威 郑祖庥 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第1期87-93, ,共7页
This paper give the algebraic criteria for all delay stability of two dimensional degenerate differential systems with delays and give two examples to illustrate the use of them.
关键词 degenerate differential system with delay all delay stability algebraic criterion
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ON THE DEGENERATE DIFFERENTIAL SYSTEM WITH DELAY 被引量:1
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作者 蒋威 郑祖庥 《Annals of Differential Equations》 1998年第2期106-113,共8页
This paper outlines some results on the degenerate differential systems with delays and illustrates the importance of studying such systems. We aslo present some problems to bring about people′s interest.
关键词 degenerate differential system with delay SOLVABILITY General solution STABILITY All delay stability Periodic solution
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THE ALL-DELAY STABILITY OF DEGENERATE DIFFERENTIAL SYSTEMS WITH DELAY 被引量:3
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作者 Zhang Hai~(1,2) Li Xiaoyan~1 Jiang Wei~1 (1.School of Math.and Computation Science,Anhui University,Hefei 230039 2.School of Math.and Computation Science,Anqing Teachers College,Anqing 236011,Anhui) 《Annals of Differential Equations》 2008年第1期100-104,共5页
In this paper,the all-delay stability of degenerate differential systems with delay is discussed.We come up with some new criteria for evaluating the all-delay stability of degenerate differential systems with delay a... In this paper,the all-delay stability of degenerate differential systems with delay is discussed.We come up with some new criteria for evaluating the all-delay stability of degenerate differential systems with delay and degenerate neutral differential systems with delay.Also,we give an example to illustrate the main results. 展开更多
关键词 degenerate differential systems with delay degenerate neutral differential systems with delay all-delay stability asymptotic stability
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THE V-FUNCTIONAL METHOD FOR THE STABILITY OF DEGENERATE DIFFERENTIAL SYSTEMS WITH DELAYS 被引量:4
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作者 蒋威 郑祖庥 王志成 《Annals of Differential Equations》 2001年第1期10-20,共11页
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 sy... 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. 展开更多
关键词 degenerate differential systems with delay stability V-functional
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