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一阶奇异耦合方程组周期边值问题的解(英文) 被引量：2

Solutions to periodic boundary value problemsof first order singular coupled systems
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摘要 研究一阶奇异半正耦合微分方程组周期边值问题.对该方程组不同的半正形式,建立半正耦合方程组周期边值问题解的存在性的充分条件,定理的证明依赖于Schauder不动点定理。 The existence of solutions to periodic boundary value problems of the first order non - autonomous singular semipositone coupled systems pied systems with some type of semipositone is is investigated, and the existence of solutions to the couestablished. The proof relies on Schauder＇ s fixed point theorem.
作者 文香丹 苑成军 蒋达清
机构地区 延边大学理学院 哈尔滨学院理学院 东北师范大学数学与统计学院
出处 《黑龙江大学自然科学学报》 CAS 北大核心 2011年第6期763-766,共4页 Journal of Natural Science of Heilongjiang University
基金 Supported by the National Natural Science Foundation of China(10571021 10701020) the Natural Science Foundation of Heilongjiang Province(A201012)
关键词 周期解 一阶非自治奇异耦合方程组 半正 SCHAUDER不动点定理 periodic solutions first order non-autonomous singular coupled systems semipositone schauder＇ s fixed point theorem
分类号 O175.8 [理学—基础数学]
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参考文献6

  • 1JIANG D, CHU J, ZHANG M. Multiplicity of positive periodic solutions to superlinear repulsive singular equations [ J]. J Differential Equations, 2005, 211:282 -302.
  • 2TORRES P J. Weak singularities may help periodic solutions to exist[ J]. J Differential Equations, 2007, 232:277 - 284.
  • 3CHU J, TORRES P J. Applications of Schauder' s fixed point theorem to singular differential equations [ J ]. Bull London Mathematical Society, 2007, 39:653 -660.
  • 4TORRES P J. Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem [ J ]. J Differential Equations, 2003, 190:643 -662.
  • 5CHU J, TORRES P J, ZHANG M. Periodic solutions of second order non-autonomous singular dynamical systems [ J ]. J Differential Equations, 2007,239 : 196 - 212.
  • 6CAO Zhong-wei, YUAN Cheng-jun, JIANG Da-qing, et al. A note on periodic solutions of second order nonautonomous singular coupled systems [J]. Math Probl Eng, 2010,doi:10. 1155/2010/458918.

同被引文献14

  • 1Agarwal R P, O' Regan D. Existence Theory for Single and Multiple Solutions to Singular Positone Boundary Value Problems [J]. J Differential Equations, 2001, 175(2) : 393-414.
  • 2JIANG Da-qing, GAO Wen-jie. Upper and Lower Solution Method and a Singular Boundary Value Problem for the One-Dimension p-Laplacian [ J ]. J Math Anal Appl, 2000, 252 (2) : 631-648.
  • 3JIANG Da-qing, LIU Hui-zhao. On the Existence of Nonnegative Radial Solutions for p-Laplacian Elliptic Systems [ J ]. Ann Polon Math, 1999, 71(1) : 19-29.
  • 4JIANG Da-qing. Upper and Lower Solutions Method and a Superlinear Singular Boundary Value Problem for the One-Dimensional p-Laplacian [ J]. Computers and Mathematics with Applications, 2001, 42 (6/7) : 927-940.
  • 5Manasevich R, Zanolin F. Time-Mappings and Multiplicity of Solutions for the One-Dimensional p-Laplacian [ J ]. Nonlinear Analysis : Theory, Methods and Applications, 1993, 21 (4) : 269-291.
  • 6WANG Jun-yu, GAO Wen-jie. A Singular Boundary Value Problem for the One-Dimensional p-Laplacian [ J ]. J Math Anal Appl, 1996, 201(3) : $51-866.
  • 7KONG Ling-bin, WANG Jun-yu. Muhiple Positive Solutions for the One-Dimensional p-Laplacian [ J ]. Nonlinear Anal : Theory, Methods and Applications, 2000, 42 (8) : 1327-1333.
  • 8ZHANG Mei-rong. Nonuniform Nonresonance at the First Eigenvalue of the p-Laplacian [ J ], Nonlinear Anal : Theory, Methods and Applications, 1997, 29(1) : 41-51.
  • 9O' Regan D. Existence Theorey for Nonlinear Ordinary Differential Equations [ M]. Dordrecht: Kuwer Academic, 1997.
  • 10HU Wei-min, JIANG Da-qing, LUO Ge-xin, Theory for Single and Multiple Solution to Singular Discrete Boundary Value Problems for Second-Order Differential Systems [ J]. Dynamic Systems and Applications, 2008, 17: 221-234.

引证文献2

二级引证文献4

黑龙江大学自然科学学报
2011年 第6期

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