Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations 被引量：1

Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations

原文传递

导出

摘要 non-autonomous finite-delay functional differential equations without any monotone conditions assumed.A minimal set is constructed in terms of which necessary and sufficient conditions for a continuous equilibrium to exist are also obtained.Several illustrative examples are employed to demonstrate our results. non-autonomous finite-delay functional differential equations without any monotone conditions assumed.A minimal set is constructed in terms of which necessary and sufficient conditions for a continuous equilibrium to exist are also obtained.Several illustrative examples are employed to demonstrate our results.

作者 ZHENG ZuoHuan 1 & LI XiLiang 2 1 Institute of Applied Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China 2 College of Mathematics and Information Sciences,Shandong Institute of Business and Technology,Yantai 264005,ChinaAbstract In this article,we aim to establish necessary and sufficient conditions that guarantee the existence of equilibria and continuous equilibria for the continuous skew-product semiflow induced by a class of

出处《Science China Mathematics》 SCIE 2010年第8期2045-2059,共15页 中国科学：数学（英文版）

基金 supported by the Key Lab of Random Complex Structures and Data Science,CAS(Grant No.2008DP173182) the National Basic Research Program of China (973 Project)(Grant No.2005CB321902)

关键词 continuous EQUILIBRIUM NON-AUTONOMOUS functional differential equations skew-product SEMIFLOWS TOPOLOGICAL dynamics continuous equilibrium non-autonomous functional differential equations skew-product semiflows topological dynamics

分类号 O175 [理学—数学]

引文网络
相关文献

参考文献38

1Sylvia Novo,Carmen Nú?ez,Rafael Obaya.Almost Automorphic and Almost Periodic Dynamics for Quasimonotone Non-Autonomous Functional Differential Equations[J]. Journal of Dynamics and Differential Equations . 2005 (3) 被引量：1
2Jiang Jifa.On the existence and uniqueness of connecting orbits for cooperative systems[J]. Acta Mathematica Sinica . 1992 (2) 被引量：1
3Arnold L,Chueshov I.Order-preserving random dynamical systems: equilibria,attractors,applications. Dyn Stability Systems . 1998 被引量：1
4Arnold L,,Chueshov I.Cooperative random and stochastic differential equations. Discrete Contin Dyn Syst . 2001 被引量：1
5Chicone C,Latushkin Y.Evolution semigroups in dynamical systems and differential equations. Mathematical Surveys and Monographs . 2002 被引量：1
6Jiang J.Five-dimensional cooperative systems with every equilibrium stable. Lect Notes Pure Appl Math . 1996 被引量：1
7Krasnoselskii M.The Operator of Translation Along Trajectories of Differential equations. Translations of Mathe- matical Monographs . 1968 被引量：1
8Ortega R,Tarallo M.Almost periodic upper and lower solutions. Journal of Differential Equations . 2003 被引量：1
9Smith H,Thieme H.Strongly order preserving semiflows generated by functional differential equations. Journal of Differential Equations . 1991 被引量：1
10Wang Y,Jiang J.Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems. Journal of Differential Equations . 2002 被引量：1

同被引文献11

1Gai Mingjiu,Shi Bao,Zhang Decun.OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE[J].Applied Mathematics(A Journal of Chinese Universities),2001,16(2):122-126. 被引量：18
2罗辉,庄容坤,郭兴明Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,P.R.China.OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING[J].Applied Mathematics and Mechanics(English Edition),2005,26(4):441-448. 被引量：1
3刘兴元.具有正负系数中立型时滞微分方程的振动性[J].四川师范大学学报（自然科学版）,2006,29(2):192-196. 被引量：6
4仉志余,王晓霞,林诗仲,俞元洪.非线性二阶中立型时滞微分方程的振动和非振动准则[J].系统科学与数学,2006,26(3):325-334. 被引量：24
5何宏庆,仉志余.二阶非线性中立型时滞微分方程的振动准则[J].数学的实践与认识,2007,37(23):130-134. 被引量：6
6杨甲山.具有正负系数的二阶非线性中立型方程的非振动准则[J].工程数学学报,2010,27(1):118-124. 被引量：11
7潘立军.具偏差变元的一类三阶微分方程的周期解[J].四川师范大学学报（自然科学版）,2011,34(1):71-76. 被引量：1
8杨甲山.具正负系数和阻尼项的高阶微分方程的振动定理[J].中山大学学报（自然科学版）,2012,51(1):30-34. 被引量：12
9杨甲山,王瑀.一类具正负系数的二阶中立型方程的振动性[J].合肥工业大学学报（自然科学版）,2012,35(4):552-556. 被引量：4
10李美丽,冯伟.二阶线性中立型时滞微分方程非振动解的存在性[J].山西大学学报（自然科学版）,2002,25(3):195-199. 被引量：7

引证文献1

1杨甲山,方彬.一类二阶中立型微分方程的振动和非振动准则[J].四川师范大学学报（自然科学版）,2012,35(6):776-780. 被引量：7

二级引证文献7

1杨甲山.具阻尼项的高阶中立型泛函微分方程的振荡性[J].中山大学学报（自然科学版）,2014,53(3):67-72. 被引量：6
2吴贤敏,石海平.2n阶非线性p-Laplacian型泛函差分方程的周期解[J].四川师范大学学报（自然科学版）,2014,37(3):364-368.
3杨甲山.一类高阶非线性泛函差分方程正解的存在性[J].中央民族大学学报（自然科学版）,2014,23(3):5-9. 被引量：5
4莫协强,张晓建,杨甲山.一类高阶泛函微分方程非振动解的存在性[J].四川师范大学学报（自然科学版）,2014,37(6):861-866. 被引量：6
5苏芳,覃学文.一类二阶非线性中立型变时滞的微分方程的振动性[J].梧州学院学报,2014,24(6):12-17.
6杨甲山.具非线性中立项的二阶变时滞微分方程的振荡性[J].华东师范大学学报（自然科学版）,2016(4):30-37. 被引量：13
7杨甲山,覃桂茳.一类二阶微分方程新的Kamenev型振动准则[J].浙江大学学报（理学版）,2017,44(3):274-280. 被引量：8

1XU Yu\|min\+1,\ GAO Zuo\|feng\+1,\ DENG Fei\|qi\+2 1. Yanshan University, Qinhuangdao 066004,China 2. South China University of Technology, Guangzhou 510640,China.Asymptotic Integration for Certain Scalar Functional Differential Equations[J].Systems Science and Systems Engineering,2000,10(2):222-226.
2周德堂.SOME RESULTS ON OSCILLATION OF FDES OF FIRST ORDER[J].Chinese Science Bulletin,1990,35(7):610-612.
3李黎明,姜景红.THE STABILITY OF NON-AUTONOMOUS DELAY SYSTEMS[J].Systems Science and Mathematical Sciences,1990,3(2):160-165.
4SHOU Ji\|lin,\ YUAN Ying Dept. of Applied Mathematics, Xi′an Jiaotong University, Xi′an 710049, China.Existence of Equilibrium of Multiperiod Plan-Market Economy with the Stock Market[J].Systems Science and Systems Engineering,1999,9(4):29-39.
5Peter Y. H. Pang.The Cauchy problem for non-autonomous nonlinear Schr(o)dinger equations[J].Science China Mathematics,2005,48(4):522-538.
6Monotone　Iterative　Technique　for　Boundary　Value　Problem　of　Second　Order　Singular　Differential　System[J].Systems Science and Systems Engineering,1995,5(3):266-272.
7ZhiHao Ma,ZhiHua Chen,Shao-Ming Fei.Uncertainty relations based on skew information with quantum memory[J].Science China(Physics,Mechanics & Astronomy),2017,60(1):62-64.
8高国柱.3/2-Asymptotic Stability for One-Dimensional Functional Differential Equations With Unbounded Delay[J].Chinese Science Bulletin,1993,38(16):1325-1328.
9何猛省,高述春.Oscillation of Hyperbolic Functional Differential Equations With Deviating Arguments[J].Chinese Science Bulletin,1993,38(1):10-14. 被引量：4
10FANG Biqi.The asymptotic distributions of the statistics of the skew elliptical variables[J].Science China Mathematics,2005,48(2):214-221.

Science China Mathematics

2010年第8期

浏览历史

内容加载中请稍等...

Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations 被引量：1

参考文献38

同被引文献11

引证文献1

二级引证文献7

相关作者

相关机构

相关主题

浏览历史