Boundary Value Problems of Singular Perturbed Partial Differential Equations with Impulsive Conditions

Xiao-Yun Wang; Yao-Lin Jiang

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Boundary Value Problems of Singular Perturbed Partial Differential Equations with Impulsive Conditions

机译：脉冲条件下奇摄动偏微分方程的边值问题

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摘要

This paper studies a class of boundary value problems of singularly perturbed partial differential equations with impulsive conditions. The method of small intervals is applied to solve these problems, its solution procedure is give and a test problem is provided to illustrate the effectiveness of the suggested method.

机译：本文研究了一类具有脉冲条件的奇摄动偏微分方程的边值问题。应用小区间方法解决了这些问题，给出了解决方法，并给出了测试问题来说明所提方法的有效性。

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《International journal of nonlinear sciences and numerical simulation》 |2006年第4期|共4页
作者
Xiao-Yun Wang; Yao-Lin Jiang;
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正文语种 eng
中图分类数值分析;
关键词
Singularly perturbed impulsive partial differential equations; Method of small intervals; Boundary layer; Matching technique;

机译：奇摄动脉冲偏微分方程;小区间法;边界层;匹配技术;

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专利

1. Boundary Value Problems of Singular Perturbed Partial Differential Equations with Impulsive Conditions [J] . Xiao-Yun Wang, Yao-Lin Jiang International journal of nonlinear sciences and numerical simulation . 2006,第4期

机译：脉冲条件下奇摄动偏微分方程的边值问题
2. POSITIVE SOLUTIONS OF SINGULAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS [J] . Weibing Wang, Jianhua Shen Journal of Mathematical Sciences . 2015,第5期

机译：具有非线性边界条件的奇异脉冲微分方程的正解
3. Existence of positive solutions for singular impulsive differential equations with integral boundary conditions on an infinite interval in Banach spaces [J] . Chen Xu, Zhang Xingqiu Electronic Journal of Qualitative Theory of Differential Equations . 2011,第13a16期

机译：Banach空间中无限区间上具有积分边界条件的奇异脉冲微分方程正解的存在性。
4. Variational approach to second-order impulsive partial differential equations with periodic boundary value problems [C] . Li Haichun, Zhang Yulong 2011 30th Chinese Control Conference . 2011

机译：具有周期边值问题的二阶脉冲偏微分方程的变分方法
5. Eigenvalue Problems for Fully Nonlinear Elliptic Partial Differential Equations with Transport Boundary Conditions [D] . Lesniewski, Jacob. 2021

机译：具有运输边界条件的完全非线性椭圆局部微分方程的特征值问题
6. Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions [O] . M. J. Mardanov, N. I. Mahmudov, Y. A. Sharifov -1

机译：具有两点和积分边界条件的脉冲分数阶微分方程的存在性和唯一性定理
7. Existence of positive solutions for singular impulsive differential equations with integral boundary conditions on an infinite interval in Banach spaces ∗ [O] . Xu Chen, Xingqiu Zhang 2013

机译：Banach空间中具有无限区间积分边界条件的奇异脉冲微分方程正解的存在性*
8. Exact Boundary Conditions at an Artificial Boundary for Partial Differential Equations in Cylinders [R] . Hagstrom, T., Keller, H. B. 1984

机译：圆柱中偏微分方程人工边界的精确边界条件

Boundary Value Problems of Singular Perturbed Partial Differential Equations with Impulsive Conditions

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