Existence and Uniqueness of Positive Periodic Solutions for First-order Functional Differential Equations
Existence and Uniqueness of Positive Periodic Solutions for First-order Functional Differential Equations
基金
Supported by the Youth Science Foundation of China(l1201272)
Supported by the Youth Science Foundatioa of Shanxi Province(2010021002-1)
functional differential equation
existence and uniqueness
positive periodics olution~ general s-concave operator
homogeneous operator
参考文献20
-
1JIANG Da-qing, WEI Jun-jie. Existence of positive periodic solutions of nonautonomous functional differ?ential equations[J]. Chinese Ann Math A, 1999, 20(6): 715-720.
-
2CHENG Sui-sun, ZHANG Guang. Existence of positive periodic solutions for nonautonomous functional differential equations[JJ. Election J Differential Equations, 2001, 59: 1-8.
-
3WANG Hai-yan. Positive periodic solutions of functional differential equations[J]. J Differential Equations, 2004, 202: 354-366.
-
4LIU Xi-Ian, LI Wan-tong. Existence and uniqueness of positive periodic solutions of functional differential equations[JJ. J Math Anal Appl, 2004, 293: 28-39.
-
5BAI Ding-yong, xu Yuan-tong. Periodic solutions of first order functional differential equations with peri?odic deviations[J]. Comput Math Appl, 2007, 53.: 13.61-13.66.
-
6Ll Yong-kun, FAN Xuan-Iong, ZHAO Li-li, Positive periodic solutions of functions differential equations with impulses and a parameter[J]. Comput Math Appl, 2008, 56: 2556-2560.
-
7WU Yue-xiang. Existence of positive periodic solutions for a functional differential equation with a param?eter[J]. Nonlinear Analysis, 2008, 68(7): 1954-1962.
-
8WENG Ai-zhl, SUN Ji-tao. Positive periodic solutions of first-order functions differential equations with parameter[J]. J Comput Appl Math, 2009, 229: 3.27-3.3.2.
-
9KANG Shu-gui, SHI Bao, WANG Gen-qiang. Existence of maximal and minimal periodic solutions for first-order functions differential equations[J]. Appl Math Lett, 2010, 23.: 22-25.
-
10LIN Jin-quan,LIN Wen-xian.Existence of Periodic Solution for a Kind of Functional Differential Equation[J].Chinese Quarterly Journal of Mathematics,2011,26(2):256-259. 被引量:1
二级参考文献23
-
1LIN Wen-xian.2π-periodic Solution for a Kind High Order Delay Duffing Equation[J].Chinese Quarterly Journal of Mathematics,2006,21(1):85-89. 被引量:4
-
2GAINES R E, MAWHIN J. Coincidence Degree and Nonlinear Differential Equations: Lecture Notes in Mathematics[M]. New York: Springer, 1977: 568.
-
3HUANG Xian-kai, XIANO Zi-gui. 2π-periodic solution of a duffing equation with time delay[J]. Chinese Science Bulletin, 1994, 39(3): 201-203.
-
4ZHANG Zheng-qiu, YU Jian-she. Periodic solution of a kind of delay duffing equation[J]. A Journal of Chinese University Applied Mathematics, 1998, 13(4): 389-392.
-
5LIN Wen-xian. 2π-periodic solution of equation x + f(x)5: + bx + g(x(t τ)) = p(t)[J]. Ann of Diff Eqs, 2003, 19(1): 48-51.
-
6LEELA S,OGUZToRELI M N.Periodic boundary value problem for differential equations with delay and monotone iterative method[J].J Math Anal Appl,1987,122:301-307.
-
7HADDOCK J R,NKASHAMA M N.Periodic boundary value problems and monotone iterative methods for functional differential equations[J].Nonlinear Anal,1994,22:267-276.
-
8EDUARDO LIZ,NIETO J J.Periodic boundary value problems for a class of functional differential equations[J].J Math Anal Appl,1996,200:680-686.
-
9JIANG D Q,WEI J J.Eistence of positive periodic solutions for nonautonomous differential equations with delay[J].Chinese Annals of Mathematics,1999,20A:715-720.
-
10LI Y K.Existence and global attractivity of periodic positive solutions of a class differential equation with delay[J].Science in China,1998,28A(2):108-118.
共引文献5
-
1张素平.一类脉冲泛函微分方程正周期解的存在性[J].安徽建筑工业学院学报(自然科学版),2008,16(5):111-114.
-
2汪小明,孙杨剑.一类具偏差变元的高阶泛函微分方程的周期解[J].西北师范大学学报(自然科学版),2013,49(3):16-19. 被引量:3
-
3汪小明.具偏差变元高阶Rayleigh型方程周期解的存在性[J].南昌大学学报(理科版),2014,38(2):128-131. 被引量:1
-
4WANG Qi LU Di-cheng MA Qi DAI Jin.Periodic Solutions for Some Second-order Differential System with p(t)-Laplacian[J].Chinese Quarterly Journal of Mathematics,2015,30(2):253-266.
-
5HANG Wei-tao,WANG Chao,LI Qi,YANG Xiao.Admissible Periodic Bouncing Solutions for A Class of Semi-linear and Non-conservative Impact Oscillators[J].Chinese Quarterly Journal of Mathematics,2018,33(2):111-121.
-
1Hu Xiulin Zhou Zongfu (School of Math, and Computation Science, Anhui University, Hefei 230039).EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR INFINITE DELAY FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2006,22(3):270-276. 被引量:2
-
2蒋达清,魏俊杰.EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR VOLTERRA INTERGO-DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2001,21(4):553-560. 被引量:8
-
3林晓宁.MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS[J].数学物理学报(A辑),2006,26(B12):1105-1114. 被引量:4
-
4PENGShi-guo.Positive Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations[J].应用数学,2004,17(2):234-238. 被引量:7
-
5GUO Peng-fei,ZHU Xian-yang,LI Yong-kun.Two Positive Periodic Solutions of Delay Functional Difference System with Feedback Control[J].Chinese Quarterly Journal of Mathematics,2009,24(1):102-107. 被引量:1
-
6LIU Xing-yuan.Existence of Three Positive Periodic Solutions of Neutral Nonlinear Functional Difference Equations[J].Chinese Quarterly Journal of Mathematics,2015,30(2):172-183. 被引量:1
-
7Song Changxiu (School of Math. Sciences, South China Normal University, Guangzhou 510631,School of Applied Math., Guangdong University of Technology, Guangzhou 510006).TWIN POSITIVE PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J].Annals of Differential Equations,2006,22(3):356-359.
-
8谢强军,张花荣,唐旭华.具有饱和项的捕食食饵系统正周期解的存在性(英文)[J].Chinese Quarterly Journal of Mathematics,2007,22(2):290-295.
-
9Qing Liu YAO.Triple Positive Periodic Solutions of Nonlinear Singular Second-order Boundary Value Problems[J].Acta Mathematica Sinica,English Series,2014,30(2):361-370. 被引量:1
-
10LIYONGXIANG.POSITIVE PERIODIC SOLUTIONS OF FIRST AND SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS[J].Chinese Annals of Mathematics,Series B,2004,25(3):413-420. 被引量:17