| 一类四阶奇摄动非线性边值问题(英文) |
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| 引用本文： | 李旭,王世朋.一类四阶奇摄动非线性边值问题(英文)[J].数学季刊,2011(2):217-222. |
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| 作者姓名： | 李旭 王世朋 |
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| 作者单位： | Department of Mathematics and Physics;Hefei University;Hefei No.7 Middle School; |
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| 基金项目： | Supported by the NNSF of China(10371006) |
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| 摘 要： | This paper is devoted to study the following the singularly perturbed fourth-order ordinary differential equation ∈y（4） =f（t,y＇,y＇＇,y＇＇＇）,0t1,0ε1 with the nonlinear boundary conditions y（0）=y＇（1）=0,p（y＇＇（0）,y＇＇＇（0））=0,q（y＇＇（1）,y＇＇＇（1））=0 where f：0,1]×R3→R is continuous,p,q：R2→R are continuous.Under certain conditions,by introducing an appropriate stretching transformation and constructing boundary layer corrective terms,an asymptotic expansion for the solution of the problem is obtained.And then the uniformly validity of solution is proved by using the differential inequalities.
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| 关 键 词： | singular perturbation nonlinear boundary value problem differential inequality asymptotic expansion |
Singular Perturbations for a Class of Fourth-order Nonlinear Boundary Value Problem |
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| LI Xu,WANG Shi-peng.Singular Perturbations for a Class of Fourth-order Nonlinear Boundary Value Problem[J].Chinese Quarterly Journal of Mathematics,2011(2):217-222. |
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| Authors: | LI Xu WANG Shi-peng |
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| Institution: | LI Xu1,WANG Shi-peng2(1.Department of Mathematics and Physics,Hefei University,Hefei 230601,China,2.Hefei No.7 Middle School,Hefei 230001,China) |
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| Abstract: | |
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| Keywords: | singular perturbation nonlinear boundary value problem differential inequality asymptotic expansion |
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