一类中立型积分方程的正的概周期解

On the Positive Almost Periodic Solutions of some Neutral Integral Equation

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摘要通过构建锥中一个新的不动点定理,讨论了一类中立型积分方程正的概周期的存在性,得到了一些新的结果. We discuss the existence of positive almost periodic solutions for some neutral integral equation,by constructing a new fixed point theorem in the cone.Some new results are obtained.

作者徐斌袁荣 Bin XU;Rong YUAN(School of Mathematics Xuzhou Normal University,Xuzhou 221116,P.R.China;School of Mathematics,Beijing Norm al University,Beijing 100875,P.R.China)

机构地区徐州师范大学数学科学学院北京师范大学数学科学学院

出处《数学学报（中文版）》 SCIE CSCD 北大核心 2012年第1期101-110,共10页 Acta Mathematica Sinica：Chinese Series

基金国家自然科学基金资助项目(10171021) 徐州师范大学重点基金(058LA03)

关键词概周期中立性积分方程混合单调算子 almost periodicity neutral integral equation mixed monotone operators

分类号 O175.1 [理学—基础数学]

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1Ait Dads E., Ezzinbi K., Almost periodic solution for some neutral nonlinear integral equation, Nonlinear Anal. TMA, 1997, 28(9): 1479 1489.
2Ait Dads E., Ezzinbi K., Existence of positive pseudo-almost-periodic solution for some nonlinear infinite delay integral equations arising in epidemic problems, Nonlinear Anal. TMA, 2000, 41(1): 1 13.
3Amerio L., Prouse G., Almost-Periodic Functions and Functional Equations, Van Nostrand Reinhold New York, 1971.
4Chen S., Torrejdn R., Bifurcation of almost periodic solutions for a nonlinear integral equation with delay, Nonlinear Anal. TMA, 1996, 27(8): 863 877.
5Coole K., Kaplan J., A periodicity threshold theorem for epidemics and population growth, Math. Biosci, 1976, 31: 87-104.
6Ezzinbi K., Hachimi M. A., Existence of positive almost periodic solutions of functional equations via Hilbert's projective metric, Nonlinear Anal. TMA, 1996, 26(6): 1169-1176.
7Fink A. M., Gatica J. A., Positive almost periodic solutions of some delay integral equations, J. Differential Equations, 1990, 83:166 178.
8Guo D., Lakshmikantham V., Positive solutions of nonlinear integral equations arising in infectious disease, J. Math. Anal. Appl., 1988, 134:1 -8.
9Leggett R. W., Williams L. R., A fixed point theorem with application to an infectious disease model, .]. Math. Anal. Appl., 1980, 76:91 97.
10Li K., Liang J., Xiao T. J., New existence and uniqueness theorems of positive fixed points for mixed monotone operators with perturbation, J. Math. Anal. Appl., 2007, 328:753 766.

1孙涛,刘超,沙秋夫.一类可描述传染病的中立型积分方程的多重正解[J].辽宁科技大学学报,2006,30(6):569-573.
2徐斌,袁荣.一类中立型积分方程的正的概周期解[J].数学学报（中文版）,2007,50(6):1223-1230.
3常微分方程[J].中国学术期刊文摘,2008,14(9):12-12.
4ZHAOHua-xiang,SUNXing-wang.Multiple Positive Solutions for Some Neutral Integral Equatious Modeling Infectious Disease[J].Chinese Quarterly Journal of Mathematics,2003,18(1):21-28. 被引量：1

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一类中立型积分方程的正的概周期解

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