CO-SEMIGROUP

作品数：7被引量：14H指数：2
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相关期刊：《Acta Mathematicae Applicatae Sinica》《Science Bulletin》《Journal of Systems Science & Complexity》《Journal of Systems Science and Information》更多>>
相关基金：国家自然科学基金河南省自然科学基金更多>>
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FURTHER RESEARCH OF A NEW KIND OF SERIES REPAIRABLE SYSTEM被引量：2
《Journal of Systems Science & Complexity》2012年第4期744-758,共15页Lina GUO Houbao XU Chao GAO Guangtian ZHU 
supported by the National Natural Science Foundation of China under Grant No.11001013
This paper is devoted to studying the uniqueness and existence of the system dynamic solution by using C0-semigroup theory and discussing its exponential stability by analyzing the spectrul distribution of system oper...
关键词：Co-semigroup theory dynamic solution exponential stability profit analysis reliability indices steady-state solution. 
Spectral Properties and Positivity of Flows in Infinite Networks with Dynamic Boundary Control Nodes
《Journal of Systems Science and Information》2009年第4期319-325,共7页Xuelian Jin Fu Zheng Ming Fang Chao Gao 
In this paper we study transport processes on infinite networks with dynamic boundary control nodes. These flows can be modeled by operator semigroups on a suitable Banach space. Using functional analytical and graph ...
关键词：CO-SEMIGROUP SPECTRUM POSITIVITY 
Exponential Stability Analysis of a Markovian Deteriorating System被引量：1
《Journal of Systems Science and Information》2009年第2期129-140,共12页Yinghua Shen Yufeng Zhang Aidong Jin 
The reliability of a complex system passes through a gradual deterioration until at some critical level, the system fails completely. The study of the exponential stability of such a system requires the application of...
关键词：strictly dominant eigenvalue CO-SEMIGROUP the essential spectral radius PERTURBATION exponential stability 
Steady Availability of Parallel Redundant Repairable Systems
《Journal of Systems Science and Information》2007年第3期297-303,共7页Wei Li Guo Weihua 
By analyzing the spectrum location of system operator of redundant repairable system, this paper proved that the dynamic solutions of the system converge to the steady solution. Moreover, the normalized steady solutio...
关键词：repairable system CO-SEMIGROUP AVAILABILITY 
MIXED MONOTONE ITERATIVE TECHNIQUES FOR SEMILINEAR EVOLUTION EQUATIONS IN BANACH SPACES被引量：5
《Annals of Differential Equations》2004年第3期283-301,共19页王良龙 王志成 
This work was supported by grants from NNSF of China(No:10271044);Scientific Research Fund of Educational Department of Anhui Province(NSF2003KJ005zd);Teaching Research Fund of Educational Department of Anhui Province(JYXM2003108).
This paper is concerned with initial value problems for semilinear evolution equations in Banach spaces. The abstract iterative schemes are constructed by combining the theory of semigroups of linear operators and the...
关键词：normal or regular cone positive Co-semigroup mixed monotone technique mixed monotonicity semilinear evolution equations coupled lower and upper quasi-solutions 
Existence and Uniqueness of Endemic States for the Age-structured MSEIR Epidemic Model被引量：6
《Acta Mathematicae Applicatae Sinica》2002年第3期441-454,共14页Geni Gupur 
the Natural Science Foundation of Henan Province (No.994051200).
The existence and uniqueness of positive steady states for the age-structured MSEIR epidemic model with age-dependent transmission coefficient is considered. Threshold results for the existence of endemic states are ...
关键词：MSEIR epidemic model AGE-STRUCTURE CO-SEMIGROUP abstract Cauchy problem endemic state threshold value 
A Perturbation Theorem for Exponentially Bounded C-semigroups
《Chinese Science Bulletin》1994年第21期1770-1773,共4页姚景齐 
Project supported by the National Natural Science Foundation of China.
Let (X;‖ ‖) be a Banach space. By B(X) we denote the set of all bounded linear operators in X. Let C∈B(X) be injective.A strongly continuous family of bounded operators {S(t); t≥0} is called an exponentially bound...
关键词：EXPONENTIALLY bounded·C-semigroup CO-SEMIGROUP PERTURBATION for semigroup. 
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