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非线性微分方程边值问题解的存在性 被引量：5

The Existence of Solutions for Boundary Value Problems of Nonlinear Differentail Equation
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摘要 　利用Sadvoskii不动点定理获得了Banach空间中二阶微分方程边值问题解的存在性. By employing Sadvoskii fixed point theorment the results of existence for boundary value problmes of second order differential equation in Banach space are obtained.
作者 闫作茂 刘旭
机构地区 西北师范大学数学与信息科学学院
出处 《甘肃科学学报》 2005年第2期14-16,共3页 Journal of Gansu Sciences
关键词 BANACH空间 拟上下解对 非紧性测度 Sadvoskii不动点定理 Banach spaces quasi-upper and lower solutions measure of noncompactness Sadvoskii fixed point theorem
分类号 O175.8 [理学—基础数学]
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参考文献5

二级参考文献6

共引文献76

同被引文献32

  • 1徐嘉.一类非线性二阶常微分方程m+1点边值问题的可解性[J].甘肃科学学报,2006,18(1):11-13. 被引量：3
  • 2Il'in V A,Moiseev E I. Nonlocal Boundary Value Problem of the First Kind for a Sturm-Liouville Operator in Its Differential and Finite Difference Aspects[J]. Differential Equations, 1987,23 (7) : 803-810.
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  • 7Guo Dajun, Lakshmikantham V, Liu Xinzhi. Nonlinear Integral Equations in Abstract Spaces[J]. Dordrecht : Kluwer Academic Publishers, 1996.
  • 8Guo Dajun. Existence of Solutions of Boundary Value Problems for Nonlinear Second Order Impulsive Differential Equations in Banach Spaces[J]. J. Math. Anal,. Appl. , 1994,181 : 407-421.
  • 9Hein H P. On the Behaviour of Measure of Noncompacmess with Respect to Differentiation and Integration of Vectorvalued Functions[J]. Nonlinear Anal, 1983,7 : 1 351-1 371.
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引证文献5

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甘肃科学学报
2005年 第2期

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