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
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.
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.
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
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
文摘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.
文摘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.
文摘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.
基金Supported by the National Natural Science Foundation of China (10771001)the Key Program of Ministry of Education of China(205068)+1 种基金the Foundation of Education Department of Anhui Province (KJ2008B152)the Foundation of Innovation Group of Anhui University.
文摘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.
文摘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.
