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带参数的二阶时滞微分方程的边值问题 被引量：1

Boundary Value Problems for Second Order Delay Differential Equations with Parameter
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摘要 通过构造一个新的锥,利用锥拉伸与锥压缩不动点定理证明了带参数的二阶时滞微分方程解的存在性. In this paper, a new cone is constructed and the existence of solutions for second order delay differential equations with parameter is proved by using Krasnoselskii fixed -point theorem.
作者 蹇玲玲
机构地区 青岛理工大学琴岛学院
出处 《哈尔滨师范大学自然科学学报》 CAS 2015年第5期11-15,共5页 Natural Science Journal of Harbin Normal University
基金 山东省科技项目(J152I57)
关键词 带参数的二阶时滞微分方程 边值问题 锥 不动点 Second Order Delay Differential Equations with Parameter Boundary Value Problems Cone Fixed point
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献7

  • 1Jankowski T. Monotone Iterations for First Order Differential Equations with a Parameter [ J ]. Acta Math, 1999,84 : 65 - 80.
  • 2Brown R F. Topological Identification of Multiple Solutions to Parameterized Nonlinear Equations [ J ]. Pacific J Math, 1988,131:51 -69.
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  • 5Ding 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.
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二级参考文献10

  • 1Feckan M. Parametrized Singular Boundary Value Problem. J Math. Anal. Appl., 1994, 188:417-425.
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  • 4Brown R F. Topological Identification of Multiple Solutions to Parametrized Nonlinear Equations.Pacific J. Math. 1988, 131:51-69.
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共引文献1

同被引文献1

  • 1Bai Dingyong, Xu Yuantong. Existence of positive solutions for boundary - value problems of second - order delay differ- ential equations[J]. Applied Mathematics Letters, 2005,18: 621 - 630.

引证文献1

哈尔滨师范大学自然科学学报
2015年 第5期

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