The asymptotic expression of the solution of the Cauchy's problem for a higher order linear ordinary differential equation when the limit equation has singularity |
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| Authors: | Jian-ping Cai Zong-chi Lin |
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| Affiliation: | (1) Department of Mathematics, Zhangzhou Normal College, Zhangzhou, Fujian;(2) Department of Mathematics, Fujian Normal University, Fuzhou |
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| Abstract: | In this paper we consider the asymptotic expression of the solution of the Cauchy's problem for a higher order equation when the limit equation has singularity. In order to construct the asymptotic expression of the solution, the region is divided into three sub-areas. In every small region, the solution of the differential equation is different. Project supported by the National Natural Science Foundation of China |
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| Keywords: | limit equation singularity asymptotic expression |
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