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一类高阶非线性奇异扰动非局部稳态系统Robin问题

徐建中 汪维刚 莫嘉琪

徐建中, 汪维刚, 莫嘉琪. 一类高阶非线性奇异扰动非局部稳态系统Robin问题[J]. 应用数学和力学, 2020, 41(11): 1284-1291. doi: 10.21656/1000-0887.410049
引用本文: 徐建中, 汪维刚, 莫嘉琪. 一类高阶非线性奇异扰动非局部稳态系统Robin问题[J]. 应用数学和力学, 2020, 41(11): 1284-1291. doi: 10.21656/1000-0887.410049
XU Jianzhong, WANG Weigang, MO Jiaqi. On a Class of High-Order Nonlinear Singular Perturbed Nonlocal Systems’ Steady State Robin Problem[J]. Applied Mathematics and Mechanics, 2020, 41(11): 1284-1291. doi: 10.21656/1000-0887.410049
Citation: XU Jianzhong, WANG Weigang, MO Jiaqi. On a Class of High-Order Nonlinear Singular Perturbed Nonlocal Systems’ Steady State Robin Problem[J]. Applied Mathematics and Mechanics, 2020, 41(11): 1284-1291. doi: 10.21656/1000-0887.410049

一类高阶非线性奇异扰动非局部稳态系统Robin问题

doi: 10.21656/1000-0887.410049
基金项目: 国家自然科学基金(11771005);安徽省教育厅自然科学重点基金(KJ2018A0964;KJ2019A1261;KJ2019A1303);安徽省质量工程项目基金(2018jyxm0635)
详细信息
    作者简介:

    徐建中(1979—), 男, 副教授, 硕士(E-mail: xujianzhongok@163.com);莫嘉琪(1937—), 男, 教授(通讯作者. E-mail: mojiaqi@mail.ahnu.edu.cn).

  • 中图分类号: O175.29

On a Class of High-Order Nonlinear Singular Perturbed Nonlocal Systems’ Steady State Robin Problem

Funds: The National Natural Science Foundation of China(11771005)
  • 摘要: 讨论了一类高阶非线性积分微分奇异扰动系统稳态Robin问题.首先, 建立了高阶非线性非局部微分系统解的微分不等式理论.然后,构造了问题的外部解,并利用局部坐标系求得了边界层校正项,从而得到了解的形式渐近表示式.最后,利用微分不等式理论,证明了解的渐近表示式的一致有效性.
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出版历程
  • 收稿日期:  2020-02-07
  • 刊出日期:  2020-11-01

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