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《Journal of Anhui Normal University(Natural Science)》 2010-01
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Asymptotic Solution to the Perturbation Problem of Nonlinear Equation with an Unbounded Interval

LI Huang,OUYANG Cheng,HAN Xiang-lin(Department of Mathematics,Huzhou Teachers College,Huzhou 313000,China)  
Using the method of matched asymptotic expansions,the perturbation problem of the following nonlinear equation y″+kxy′+εxk-2y″y′=0 is discussed,which is with an unbounded interval.The uniformly valid asymptotical expansion is obtained with retracting transformation and elongation and the corresponding results are popularized.
【Fund】: 浙江省自然科学基金资助项目(Y606268)
【CateGory Index】: O175.14
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