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奇异摄动的二阶拟线性微分方程Diriichlet边值问题的正解存在性及其误差估计

The Existence of Positive Solutions and Error Estimate for Boundary Value Problems for Second-order Quasi-linear Differential Equations with Singular Perturbation
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摘要 主要利用上下解方法研究了奇异摄动的二阶拟线性微分方程Dirichlet边值问题正解存在性以及摄动解与退化解的误差估计。 The existence of positive solutions and the error estimate for Dirichlet boundary value problem for second-order quasi-linear differential equations with Singular perturbation have been researched by using upper and lower solutions.
作者 叶小超
出处 《廊坊师范学院学报(自然科学版)》 2008年第4期15-17,共3页 Journal of Langfang Normal University(Natural Science Edition)
关键词 奇异摄动 二阶拟线性微分方程 微分不等式 正解存在性 误差估计 singular perturbed second-order quasi-linear differential equations differential inequalities the existence of positive solution error estimate
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  • 1郭大钧.非线性泛函分析[M].济南:山东科学技术出版社,1997.. 被引量:1
  • 2Guo D J,Lakeshmikantham V.Coupled fixedpoint of nonlinear operatorswith applications[ J].Nonlinear Anal,1987(11):623-632. 被引量:1
  • 3Guo D J,Lakeshmikantham V.Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces [J].J.Math.Anal.Appl,1988(129):211-222. 被引量:1
  • 4Guo D J,Lakeshmikantham V.Nonlinear problems in Abstract Cones[ M ].Boston,New York:Academic Press,1988. 被引量:1
  • 5郭大均.非线性泛函分析[M].济南:山东科学技术出版社,1985.. 被引量:44
  • 6TALIAFERRO S D. A nonlinear singular boundary value problem [J]. Nonlinear Anal., 1979, 3: 897-904. 被引量:1
  • 7GATICA J A, OLIKEIZ V, WALTMAN P. Singular nonlinear boundary value problems for second-orderordinary differential equations [J]. J. Differential Equations, 1989, 79: 62-78. 被引量:1
  • 8ZHANG Yong. Positive solutions of singular sub-linear Emden- Fowler boundary value problems [J]. J. Math.Anal. Appl., 1994, 185(1): 215-222. 被引量:1
  • 9CHENG Jian-gang, ZHANG Zhi-jun. On the existence of positive solutions for a class of singular boundary value problems [J]. Nonlinear Anal., 2001, 44: 645--655. 被引量:1
  • 10CHENG Jian-gang. Exact number of positive solution for a class of semi-positone problems [J]. J. Math.Anal. Appl., 2003, 280: 197-208. 被引量:1

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