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一阶带参数的时滞微分方程的边值问题 被引量:2

BOUNDARY VALUE PROBLEMS FOR FIRST ORDER DELAY DIFFERENTIAL EQUATIONS WITH A PARAMETER
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摘要 本文利用上下解和单调迭代法,讨论了带参数的一阶时滞微分方程的边值问题,获得了这类问题极值解的存在性定理。 In this paper, by means of the method of upper and lower solutions and the monotone iterative technique, the existence of maximal and minimal solutions of the boundary value problem for first order delay differential equation with a parameter is considered.
出处 《应用数学学报》 CSCD 北大核心 2003年第3期525-532,共8页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(19971066号) 山西省青年基金(20021003号)
关键词 时滞微分方程 边值问题 上下解 单调迭代法 极值解 存在性 Delay differential equation with a parameter, upper and lower solutions, monotone iterative technique, comparison inequality
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参考文献10

  • 1Feckan M. Parametrized Singular Boundary Value Problem. J Math. Anal. Appl., 1994, 188:417-425. 被引量:1
  • 2Jankowski T, Lakshmikantham V. Monotone Iterations for Differential Equations with a Parameter.J Appl. Math. Stoch. Anal., 1997, 10:273-278. 被引量:1
  • 3Jankowski T. Monotone Iterations for First Order Differential Equations with a Parameter. Acta Math. Hungar., 1999, 84:65-80. 被引量:1
  • 4Brown R F. Topological Identification of Multiple Solutions to Parametrized Nonlinear Equations.Pacific J. Math. 1988, 131:51-69. 被引量:1
  • 5Stank S. On a Class of Functional Boundary Value Problems for the Equation x″=f(t,x,x′,x",λ).Ann. Pol. Math., 1994, 59:225-237. 被引量:1
  • 6Zhang F, Ma Z, Yan J. Periodic Boundary Value Problems and Monotone Iterative Methods for First Order Impulsive Differential Equations with Delay. Indian J. Pure and Applied Math., 2001, 32:1695-1707. 被引量:1
  • 7Xu H, Liz E. Boundary Value Problems for Functional Differential Equations. Nonlinear Analysis,2000, 41:971-988. 被引量:1
  • 8Ladde G S, Lakshmikantham V, Vatsala A S. Monotone Iterative Techniques for Nonlinear Differential Equations. Boston: Pitman, 1985. 被引量:1
  • 9Leela S, Oguztoreli M N. Periodic Boundary Value Problem for Differential Equations with Delay and Monotone Iterative Method. J Math. Anal. Appl., 1987, 122:301-307. 被引量:1
  • 10Nieto J J, Yu J, Yan J. Monotone Iterative Methods for Functional Differential Equations. Nonlinear Anal., 1998, 32:741-747. 被引量:1

同被引文献8

  • 1刘三阳,冯育强.半序度量空间与半序Banach空间中一类算子方程的可解性[J].数学学报(中文版),2005,48(1):109-114. 被引量:4
  • 2彭世国,朱思铭.泛函微分方程周期边值问题的正解[J].数学年刊(A辑),2005,26(3):419-426. 被引量:9
  • 3Jankowski T. Monotone Iterations for First Order Differential Equations with a Parameter [ J ]. Acta Math, 1999,84 : 65 - 80. 被引量:1
  • 4Brown R F. Topological Identification of Multiple Solutions to Parameterized Nonlinear Equations [ J ]. Pacific J Math, 1988,131:51 -69. 被引量:1
  • 5Feckan M. Parametrized Singular Boundary Value Problem [ J ]. J Math Anal Appl, 1994,185:417 - 425. 被引量:1
  • 6Ding Yongbai, Yuan Tongxu. Existence of positive solutions for boundary - value problems of second - order delay differential equations[ J]. Applied Mathematics Letters, 2005,18 : 621 - 630. 被引量:1
  • 7Guo D, Lakshmikantham V. Nonlinear Problems in Abstract Cones, Academic Press, New York, 1988. 被引量:1
  • 8Henderson J, Wang H Y. Positive solutions for nonlinear ei- genvalue problems [ J ]. J Math Anal Appl, 1997,208 : 252 - 259. 被引量:1

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