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1.
一类无穷时滞周期Lotka-Volterra型系统的正周期解   总被引:2,自引:0,他引:2       下载免费PDF全文
该文研究一类无穷时滞周期Lotka Volterra型系统正周期解的存在性.应用Schauder不动 点定理得到了一个比较一般的正周期解存在定理.文献[1,2]中的主要结果被改进和推广.  相似文献   

2.
本文利用重合度理论中的延拓定理讨论了具有连续时滞和比率型功能反应的非自治扩散竞争系统的正周期解的存在性,得到了正周期解存在的充分条件。  相似文献   

3.
非自治时滞微分方程正周期解的存在性   总被引:1,自引:0,他引:1  
应用Krasnoselskii锥映射不动点定理,研究了具一般时滞非线性非自治Logistic方程的ω-周期解的存在性,获得了存在正周期解的充分条件.  相似文献   

4.
无穷时滞泛函微分方程的正周期解   总被引:6,自引:0,他引:6  
利用范数形式的锥拉伸和锥压缩不动点定理讨论具有无穷时滞泛函微分方程的周期解问题,获得了正周期解的存在性定理,并给出了定理的若干应用.  相似文献   

5.
无穷时滞泛函微分方程的正周期解   总被引:12,自引:0,他引:12  
利用范数形式的锥拉伸和锥压缩不动点定理讨论具有无穷时滞泛函微分方程的周期解问题,获得了正周期解的存在性定理,并给出了定理的若干应用.  相似文献   

6.
应用锥不动点定理研究了一类时滞微分方程周期解的存在性问题,建立了该系统具有至少一个正周期解的充分条件.  相似文献   

7.
一类基于比例确定的Leslie系统正周期解的存在性   总被引:5,自引:0,他引:5  
梁志清  陈兰荪 《应用数学》2005,18(2):313-318
本文利用重合度理论中的延拓定理讨论了一类带时滞且具Holling—TannerⅢ类功能反应比例确定的时变Leslie系统的正周期解的存在性,得到了正周期解存在的充分条件.  相似文献   

8.
利用新的重合度理论中的连续性定理,给出了一类带有脉冲的中立型时滞微分方程的正周期解的存在性判定定理.  相似文献   

9.
应用重合度定理研究了一类具有Holling IV类功能性反应时滞捕食-食饵系统的周期解的存在性问题,建立了该系统具有至少两个正周期解的充分条件.  相似文献   

10.
研究了一类具无穷时滞的中立型周期微分系统周期解的存在性问题.利用指数型二分性及Krasnoselskii不动点定理,建立了保证该系统的周期解的存在性的充分条件.所得结果推广了文[1-7]的有关结果.  相似文献   

11.
In this paper we obtain some sufficient conditions for the existence of non-constant periodic solutions of the following planar system with six delaysOur approach is based on the continuation theorem of the coincidence degree.  相似文献   

12.
In this paper, by using the comparing theorem, Razumikhin-type theorem and V-function method, we consider a nonautonomous predator-prey system with stage-structure and time-delay. We get the sufficient conditions for the uniform persistence and the solutions global attractivity of this system. For a periodic system, we obtain the existence and uniqueness of a positive periodic solution of this system. For an almost periodic system, we prove the existence and the uniform asymptotic stability of the almost periodic solutions of this system.  相似文献   

13.
In this paper we study the existence of positive periodic solutions for a class of neutral type competitive system with delay. Applying the continuation theorem of coincidence degree theory, a general criteria on the existence of positive periodic solutions are established. Some the related results are generalized and improved. It is shown that the arguments delays have no effect on the existence positive periodic solution of system.  相似文献   

14.
This paper studies the existence of almost periodic type solutions to the nonlinear infinite delay integral equation. By means of the fixed theorem on a suitable space with Hilbert’s projective metric, we establish some sufficient conditions for the existence of positive weighted pseudo-almost periodic solutions to the equation.  相似文献   

15.
By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of multiple positive periodic solutions in periodic Gause-type predator–prey systems with non-monotonic numerical responses and time delays. As corollaries, some applications are listed. In particular, our results improve and supplement those obtained by Chen [Y. Chen, Multiple periodic solutions of delayed predator–prey systems with type IV functional responses, Nonlinear Anal. Real World Appl. 5 (2004) 45–53].  相似文献   

16.
PERIODIC SOLUTIONS OF PLANAR SYSTEMS WITH FOUR DELAYS   总被引:2,自引:0,他引:2  
1 IntroductionFOr the planar delay differential system with a single delay in both equationsthe first piece of research on non-constant periodic solutions was done by Ta-boas [1], where cr > 0 is a constant, fl and f2 are bounded C3 functions on R2satisfyingand the negative feedback conditions:Taboas showed that there is an ao > 0 such that fOr a > ao, there exists anon-constant periodic solution with period greater than 4. Further study onthe global existence of periodic solutions to system…  相似文献   

17.
In this paper, we study the existence and global attractivity of positive periodic solutions for impulsive predator-prey systems with dispersion and time delays. By using coincidence degree theorem, a set of easily verifiable sufficient conditions are obtained for the existence of at least one strictly positive periodic solutions, and by means of a suitable Lyapunov functional, the uniqueness and global attractivity of positive periodic solution is presented. Some known results subject to the underlying systems without impulses are improved and generalized.  相似文献   

18.
In this paper, we are concerned with the existence of periodic solutions of second-order non-autonomous systems. By applying the Schauder''s fixed point theorem and Miranda''s theorem, a new existence result of periodic solutions is established.  相似文献   

19.
In this paper, we study the existence and global attractivity of positive periodic solutions for impulsive predator–prey systems with dispersion and time delays. By using the method of coincidence degree theorem, a set of easily verifiable sufficient conditions are obtained for the existence of at least one strictly positive periodic solution, and by means of a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are presented. Some known results subject to the underlying systems without impulses are improved and generalized.  相似文献   

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