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一类奇异三阶常微分方程边值问题正解的存在性 被引量:1

EXISTENCE OF POSITIVE SOLUTIONS TO A CLASS OF SINGULAR THIRD-ORDER BOUNDARY VALUE PROBLEM FOR ORDINARY DIFFENENTIAL EQUATION
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摘要 用锥的不动点定理研究了奇异三阶常微分方程边值问题 :u + f( t,u) =0  0 <t<1u( 0 ) =u′( 0 ) =u″( 1 ) The existence of positive solutions to a singular third\|order boundary value problem is considered in the following: u+f(t,u)=0\ 0<t<1 u(0)=u′(0)=u″(1)=0 Our proofs are based on the fixed point theorem in a cone.
作者 李和成
出处 《甘肃科学学报》 2002年第2期6-8,共3页 Journal of Gansu Sciences
关键词 三阶常微分方程 边值问题 正解 存在性 Third\|order ordinary differetial equation boundary value problem positive solution existence
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  • 1闫作茂,刘旭.非线性微分方程边值问题解的存在性[J].甘肃科学学报,2005,17(2):14-16. 被引量:5
  • 2Reddy Y N,Chakravarthy P P. An Innitial-value Approach for Solving Singularly Perturbed Two-point Boundary Value Poblems[J]. Appl Math Comput, 2004,155 : 95-110.
  • 3Kadalbajoo M K, Patidar K C. A Survey of Numerical Techniques for Solving Singularly Perturbed Ordinary Differential Equations[J]. Appl Math Comput, 2002,130 : 457-510.
  • 4Vasil'eva A B,Butuzov V F. Asymptotic Expansions of the Solutions of Singularly Perturbed Equations[M]. Moscow: Nauka, 1973.
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