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泛函微分方程的周期正解 被引量:1

POSITIVE PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS
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摘要 利用Banach空间中的锥上的不动点定理讨论泛函微分方程的周期正解的存在性和多重性,所得结果条件简洁,易于验证.当应用于具体的数学模型时,得到一些新的结果,并改进了一些已知的结论. In this paper, by utilizing a fixed point theorem on cone in Banach space, the authors discuss the problems of periodic solutions for functional differential equations. Some results on the existence and multiplicity of positive periodic solutions are derived.
出处 《系统科学与数学》 CSCD 北大核心 2006年第5期591-598,共8页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(10371135 60572073)资助课题.
关键词 泛函微分方程 周期正解 不动点定理 Functional differential equations, positive periodic solutions, cone, fixed point theorem.
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  • 1李永昆.中立型时滞模型的周期正解[J].数学学报(中文版),1996,39(6):789-795. 被引量:16
  • 2Lan, K. Q. & Webb, J., Positive solutions of semilinear differential equation with singularity [J], J. Diff. Equation, 148(1998), 407-421. 被引量:1
  • 3Keller, H. B., Some positive problems suggested by nonlinear heat generation [A], in "Bifurcation Theory and Nonlinear Eigenvalue Problems" (J. B. Keller and S. Antman Eds.) [M], 217-255, Benjiamin, Elmsfors, New York, 1969. 被引量:1
  • 4Guo, D. & Lakshmikantham, V., Nonlinear problems in abstract cones [M], Academic Press, San Diego, 1988. 被引量:1
  • 5Luiper, H. J., On positive solutions of nonlinear elliptic eigenvalue problems [J], Rend.Cire. Mat. Palenno, 20:2(1979), 113-138. 被引量:1
  • 6Erbe, L. H. & Hu Shouchuan, Multiple positive solutions of some boundary value problems [J], Nonlinear Anal., 184(1994), 640-648. 被引量:1
  • 7Garaizer, X., Existence of positive radial solutions for semilinear elliptic problems in the ammukus [J], J. Differential Equations, 70(1987), 69-72. 被引量:1
  • 8Guo, D. & Sun. J., Calculation and application of topological degree [J], Math. Res.Expo., 8(1988), 469--480 (in Chinese). 被引量:1
  • 9Ha, Ki Sik & Lee Yong-hoon, Existence of multiple positive solutions of singular boundary value problems [J], Nonlinear Anal., 28(1997), 1429-1438. 被引量:1
  • 10Eloe, P. W. & Henderson, Positive solutions for higher order nonlinear equations [J], J.Differential Equations, 3(1995), 1-8. 被引量:1

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