Positive Periodic Solutions for Nonautonomous Differential Equations with Delay 被引量：2

Positive Periodic Solutions for Nonautonomous Differential Equations with Delay

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摘要 By utilizing a fixed point theorem on cone, some new results on the existence ofpositive periodic solutions for nonautonomous differential equations with delay are derived.

作者 PENG Shi-guo

机构地区 Department of Applied Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第4期561-566,共6页 数学季刊（英文版）

基金 Supported by the Natural Science Foundation of Guangdong Province（032469）

关键词 positive periodic solutions NONAUTONOMOUS differential equations with delay fixed point theorem CONE 周期解非自治微分方程固定点理论存在性

分类号 O17 [理学—基础数学]

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参考文献8

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共引文献14

1刘玉记.一类时滞差分方程的全局吸引性及其应用[J].应用数学,2001,14(2):28-33. 被引量：2
2刘玉记,谈小球.非自治时滞差分方程的渐近稳定性[J].云梦学刊,1999,20(4):1-7. 被引量：2
3赵西安.透光屋面设计(续1)[J].建筑技术,2006,37(10):777-783.
4刘一龙.具分布偏差变元非自治数学生态学方程的全局渐近稳定性[J].桂林电子科技大学学报,2007,27(3):239-242.
5刘兴元,唐爱民.一类具脉冲时滞微分方程解的渐近性[J].邵阳学院学报（自然科学版）,2008,5(2):7-10.
6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
7涂建斌.具分片常变量微分方程模型的全局吸引性[J].西北师范大学学报（自然科学版）,2000,36(2):5-11.
8刘玉记,谈小球,涂建斌.一类具逐段常变量泛函微分方程的解的全局吸引性及其应用[J].岳阳师范学院学报（自然科学版）,2000,13(1):19-25.
9刘玉记.非自治多时滞差分方程零解的渐近稳定性[J].贵州大学学报（自然科学版）,2000,17(3):161-169.
10刘玉记,周利麟.非自治多时滞微分方程的渐近稳定性[J].烟台师范学院学报（自然科学版）,2000,16(3):165-168.

同被引文献21

1彭世国,朱思铭.泛函微分方程的周期正解[J].系统科学与数学,2006,26(5):591-598. 被引量：1
2Zhang Suping,Jiang Wei.POSITIVE PERIODIC SOLUTION TO A CLASS OF NONLINEAR PERIODIC DIFFERENTIAL EQUATION WITH IMPULSES AND DELAY[J].Annals of Differential Equations,2007,23(1):104-112. 被引量：3
3JIANG 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.
4CHENG Sui-sun, ZHANG Guang. Existence of positive periodic solutions for nonautonomous functional differential equations[JJ. Election J Differential Equations, 2001, 59: 1-8.
5WANG Hai-yan. Positive periodic solutions of functional differential equations[J]. J Differential Equations, 2004, 202: 354-366.
6LIU 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.
7BAI 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.
8Ll 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.
9WU Yue-xiang. Existence of positive periodic solutions for a functional differential equation with a param?eter[J]. Nonlinear Analysis, 2008, 68(7): 1954-1962.
10WENG 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.

引证文献2

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.
2HAN Qian-qian ZHAI Cheng-bo.Existence and Uniqueness of Positive Periodic Solutions for First-order Functional Differential Equations[J].Chinese Quarterly Journal of Mathematics,2013,28(3):454-461.

1李媛媛,汤惟,韩海.二次矩阵方程X^2-2AX+B=0的唯一解[J].延边大学学报（自然科学版）,2009,35(3):211-213. 被引量：2
2西密尔.通兹.关于一类五阶常微分方程解的渐近性质[J].应用数学和力学,2003,24(8):791-798.
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4刘俊.一类三阶非自治微分方程解的渐近性态[J].四川师范大学学报（自然科学版）,2000,23(2):138-141.
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7沙红科.一类二阶非线性非自治微分方程周期解的存在唯一性[J].数学的实践与认识,2003,33(8):78-83.
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9刘锡平,贾梅,葛渭高.一类非自治迭代泛函微分方程[J].高校应用数学学报（A辑）,1998,13(3):249-256. 被引量：11
10曾意.Banach空间中半线性非自治微分方程的概自守解[J].内江师范学院学报,2017,32(4):38-41. 被引量：1

Chinese Quarterly Journal of Mathematics

2006年第4期

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