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A CLASS OF SINGULARLY PERTURBED EQUATIONS FOR LARGE PARAMETER WITH THREE TURNING POINTS
基金项目:Supported by the National Natural Science Foundation of China(No.11071205);the Natural Foundation of Zhejiang Province (No.Y6110502)
摘    要:A class of singularly perturbed problem of third order equation with two para-meters is studied. Using singular perturbation method, the structure of solutions to the problem is discussed in three different cases about two small parameters. The asymptotic solutions to the problem are given. The structure of solutions and the different limit behaviors are revealed. And the solutions are compared with the exact solutions to the equation in which the coefficients are constants and a relatively more perfect res...

关 键 词:singular  perturbation  turning  point  outer  solution  interior  layer  matching  method

A CLASS OF SINGULARLY PERTURBED EQUATIONS FOR LARGE PARAMETER WITH THREE TURNING POINTS
Institution:Huang Li (Hangzhou Dianzi University, Hangzhou 310018) Xianglin Han , Cheng Ouyang (Huzhou Teachers College, Huzhou 313000, Zhejiang)
Abstract:A class of singularly perturbed problem of third order equation with two para-meters is studied. Using singular perturbation method, the structure of solutions to the problem is discussed in three different cases about two small parameters. The asymptotic solutions to the problem are given. The structure of solutions and the different limit behaviors are revealed. And the solutions are compared with the exact solutions to the equation in which the coefficients are constants and a relatively more perfect result is obtained.
Keywords:singular perturbation  turning point  outer solution  interior layer  matching method
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