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《College Mathematics》 2015-01
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A Class of Singularly Perturbed Equations for Larger Parameter with Three Turning Points

SHI Juan-rong;YOU You;Anhui Technical College of Mechanical and Electrical Engineering;Department of Mathematics,Anhui Normal University;  
A class of singularly perturbed problem for larger parameter with three turning point is considered.Firstly,the outer solution in different areasis obtained using the Liouville-Green transform.Then,introducing stretching transform and using the Bessel function of 1/3 and-1/3 order the interior layer solution near the x=a1,x=a2 and x=a3is constructed respectively.Finally,the arbitrary constants is selected for the outer solution and interior layer solution using the matching principle.
【Fund】: Natural Science Foundation of China(11202106)
【CateGory Index】: O175
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