A class of singularly perturbed delayed boundary value problem in the critical case

Na Wang

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A class of singularly perturbed delayed boundary value problem in the critical case

机译：临界情况下的一类奇摄动时滞边值问题

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摘要

Based on the boundary layer function method, a class of generalized high-dimensional delayed systems in the critical case is studied. In the framework of this paper, we not only construct the asymptotic expansion of the solution for the original equation but also give the proof of the uniformly valid asymptotic expansion. Meanwhile, we give an example to demonstrate our result.

机译：基于边界层函数法，研究了临界情况下的一类广义高维时滞系统。在本文的框架中，我们不仅构造了原始方程解的渐近展开，而且给出了一致有效渐近展开的证明。同时，我们举一个例子来证明我们的结果。

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《Advances in Difference Equations》 |2015年第1期|共页
作者
Na Wang;
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中图分类数学;
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critical casesingular perturbationboundary layerapproximate solution34B1534E1037C10;

机译：临界情况奇异摄动边界层近似解34B1534E1037C10;

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1. Numerical approximation for a class of singularly perturbed delay differential equations with boundary and interior layer(s) [J] . Rai Pratima, Sharma Kapil K. Numerical algorithms . 2020,第1期

机译：具有边界和内层的一类奇异扰动延迟微分方程的数值近似
2. Approximate Analytic Solution for a Class of Generalized Nonlinear Singularly Perturbed Time-delay Model in the Critical Case [J] . WANG Na 数学季刊（英文版） . 2012,第003期

机译：临界情况下一类广义非线性奇摄动时滞模型的近似解析解
3. Delayed phenomenon of loss of stability of solutions in a second-order quasi-linear singularly perturbed boundary value problem with a turning point [J] . Zheyan Zhou, Jianhe Shen Boundary value problems . 2011,第1期

机译：具有转折点的二阶拟线性奇摄动边值问题的解稳定性损失的延迟现象
4. Singularly perturbed loads for a nonlinear traction boundary value problem on a singularly perturbed domain [C] . M. Dalla Riva, M. Lanza de Cristoforis International Society for Analysis, Applications, and Computation . 2010

机译：在奇异扰动域的非线性牵引边值问题的奇异扰动负载
5. Numerical methods for singularly perturbed boundary value problems and singularly perturbed equations. [D] . Savin, Igor. 2010

机译：奇摄动边值问题和奇摄动方程的数值方法。
6. The Asymptotic Solutions for a Class of Nonlinear Singular Perturbed Differential Systems with Time delays [O] . Han Xu, Yinlai Jin -1

机译：一类时滞非线性奇摄动微分系统的渐近解。
7. A class of singularly perturbed delayed boundary value problem in the critical case [O] . Na Wang 2015

机译：临界情况下的一类奇摄动时滞边值问题

A class of singularly perturbed delayed boundary value problem in the critical case

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