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一类分数阶非线性时滞问题的奇摄动

朱红宝ZHU Hongbao

2019应用数学和力学Mathematics被引 1开放获取

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摘要

A class of fractional nonlinear singularly perturbed problems with time delays were considered. Firstly, the outer solution was constructed by means of the singular perturbation method. Then, a stretched variable was introduced to obtain 2 boundary layer correction items for the solution, and the asymptotic analytic expansion solution to the problem was also acquired. Finally, under suitable conditions, the theory of differential inequalities was applied to prove the uniformly valid asymptotic expansion of the solution to the original problem, and the conclusion with the future research directions was given.

引用本文(GB/T 7714)

朱红宝, ZHU Hongbao. 一类分数阶非线性时滞问题的奇摄动[J]. 应用数学和力学, 2019.

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DOI:https://doi.org/10.21656/1000-0887.400195

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