具有内部层的奇摄动微分差分方程的渐近解

PDF (PC)

The Asymptotic Solutions of Delay Singularly Perturbed Differential Difference Equations

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10

Abstract:

For a class of nonlinear singularly perturbed differential difference equations, with the method of boundary layer functions, the authors
construct the uniformly valid asymptotic solutions. Because the deviating factor, confirming boundary layer functions was difficulty, but with the method of splice, the author not only gave the smooth solution's existence proof, but also the remainder estimation was done.

Key words: Singular perturbation, Differential difference equation, Asymptotic solutions

CLC Number:

34K25

NI Ming-Kang, LIN Wu-Zhong. The Asymptotic Solutions of Delay Singularly Perturbed Differential Difference Equations[J].Acta mathematica scientia,Series A, 2010, 30(6): 1413-1423.

0
/ Save 0 / Recommend

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

URL: http://121.43.60.238/sxwlxbA/EN/

http://121.43.60.238/sxwlxbA/EN/Y2010/V30/I6/1413

Trendmd

[1] 倪明康, 林武忠. 奇异摄动方程解的渐近展开. 北京: 高等教育出版社, 2008

[2] 倪明康, 林武忠. 奇异摄动问题中的渐近理论. 北京: 高等教育出版社, 2009

[3] 苗树梅, 周钦德. 奇摄动微分差分方程的边值问题. 吉林大学学报(自然科学版), 1987, 3: 1--7

[4] 苗树梅, 周钦德. 微分差分方程边值问题解的渐近展开. 吉林大学学报(自然科学版), 1987, 4: 10--18

[5] 周钦德, 苗树梅. 关于微分差分方程边值问题. 数学学报, 1989, 32(1): 55--70

[6] 任景莉, 葛渭高. 具有非线性边界条件的半线性时滞微分方程边值问题奇摄动. 应用数学与力学, 2003, 24(12): 1285--1290

[7] 任景莉, 葛渭高. 具有非线性边界条件的 Volterra 型时滞微分方程边值问题的奇摄动. 数学物理学报, 2003, 23A(4): 504--512

[8] Tian Hongjiong. Asymptotic expansion for the solutions of singularly perturbed delay differential equations. J Math Anal Appl, 2003, 281: 678--696

[1]	Liao Shupeng, Shen Jianhe. One-Pulse Travelling Front Solutions of a sine-Gordon Equation with Slowly Varying Parameters [J]. Acta mathematica scientia,Series A, 2018, 38(4): 810-822.
[2]	LIN Su-Rong. The Singular Perturbation of Boundary Value Problem on Infinite Interval for a Class Nonlinear Vector Differential Equation [J]. Acta mathematica scientia,Series A, 2014, 34(3): 727-737.
[3]	WU Li-Meng, NI Ming-Kang, LIU Hai-Bo. Internal Transition Layer Solution of Singularly Perturbed Optimal Control Problem [J]. Acta mathematica scientia,Series A, 2013, 33(2): 206-215.
[4]	LIN Su-Rong. Singular Perturbation of a Class of Third Order \|Partial Differential Equations under Limit Equation to be Mixed Type [J]. Acta mathematica scientia,Series A, 2011, 31(6): 1579-1585.
[5]	LIANG Fei, GAO Hong-Jun. Existence of Travelling Wave Solutions for a Reaction-diffusion Equation with Nonlocal Delay [J]. Acta mathematica scientia,Series A, 2011, 31(5): 1273-1281.
[6]	YANG Yin, ZHOU Qin. Crank-Nicolson Difference Scheme for Convection-Diffusion Problem by Using \|Moving Mesh Method [J]. Acta mathematica scientia,Series A, 2011, 31(4): 1063-1070.
[7]	Lin Surong. Application of the Diagonalization Method in the Robin Boundary Value Problem for the Vector Nonlinear Integro-differential Equations [J]. Acta mathematica scientia,Series A, 2009, 29(2): 406-415.
[8]	Tang Rongrong. The Asymptotic Behavior of Solution for a Class of Nonlinear Singularly Perturbed Robin Problem [J]. Acta mathematica scientia,Series A, 2008, 28(6): 1128-1132.
[9]	Mo Jiaqi. A Class of Shock Solution for Quasilinear Robin Problems [J]. Acta mathematica scientia,Series A, 2008, 28(5): 818-822.
[10]	Tang Rongrong. On a Class of Singularly Perturbed Problems with Boundary Perturbation [J]. Acta mathematica scientia,Series A, 2008, 28(3): 546-552.
[11]	Lin Surong. Singular Perturbation of Boundary Value Problems for Vector Second Order Nonlinear Integro-Differential Equations [J]. Acta mathematica scientia,Series A, 2007, 27(6): 1133-1140.
[12]	Yang Dianwu;Han Zhenlai. Existence of Solutions for the Boundary Value Problem of First Order Differential Difference Equations of Mixed Type [J]. Acta mathematica scientia,Series A, 2006, 26(4): 629-633.
[13]	OU Yang-Cheng. A Singular Perturbation to Robin Boundary Value Problem of Semi linear ODF of Second Order [J]. Acta mathematica scientia,Series A, 2005, 25(2): 251-255.
[14]	LIN Jing-Chi, GE Wei-Gao. Singularly Perturbed Boundary Value Problems for Volterra Retarded Differential Equations with Nonlinear Boundary Conditions [J]. Acta mathematica scientia,Series A, 2003, 23(4): 504-512.
[15]	MO Jia-Qi. The Nonlinear Singularly Perturbed Problems for Reaction Diffusion Equations [J]. Acta mathematica scientia,Series A, 2003, 23(3): 374-378.

Viewed

Full text

	From	local

	Times	64
	Rate	100%

Abstract

121

Just accepted	Online first	Issue

0	0	121

From	Others	local

Times	104	17
Rate	86%	14%

Cited

Web of Science	Crossref	ScienceDirect	Search for Citations in Google Scholar >>


This page requires you have already subscribed to WoS.

Shared

Discussed

[1]	Chen Zhiguo. Boundary Behavior of μ(z)-homeomorphisms[J]. Acta mathematica scientia,Series A, 2007, 27(1): 67 -76 .
[2]	Yang Dianwu;Han Zhenlai. Existence of Solutions for the Boundary Value Problem of First Order Differential Difference Equations of Mixed Type[J]. Acta mathematica scientia,Series A, 2006, 26(4): 629 -633 .
[3]	Zeng Linrui; Zhu Zhongyi. Variance Component Testing in Semiparametric Generalized Linear Model for Longitudinal Data[J]. Acta mathematica scientia,Series A, 2008, 28(4): 585 -594 .
[4]	WANG Wei-Hong, WU Huo-Xiong. Weighted Weak Type Estimates for Commutators of \|Fractional Integrals on Spaces of Homogeneous Type[J]. Acta mathematica scientia,Series A, 2009, 29(3): 553 -563 .
[5]	ZHANG Shao-Hua, SUN Dao-Chun. The Order of Derived Functions of Algebroidal Functions[J]. Acta mathematica scientia,Series A, 2005, 25(6): 933 -938 .
[6]	CHEN Bao-Xin, XIAO Wen-Dun. Two 3-tight Optimal Infinite Families of Directed Double Loop Networks[J]. Acta mathematica scientia,Series A, 2005, 25(7): 1055 -1060 .
[7]	JIN Yong-Yang, DAI Xin-Rong. The Continuity of the Solution for a Class of Degenerate Schrodinger Equations[J]. Acta mathematica scientia,Series A, 2004, 24(2): 238 -245 .
[8]	SHANG Ya-Dong, GUO Bo-Ling. The Global Attractors for the Periodic Initial Value Problem for Dissipative Generalized Symmetric Regularized Long Wave Equations[J]. Acta mathematica scientia,Series A, 2003, 23(6): 745 -757 .
[9]	HUI Zhong-Li, JIN Meng-Zhong. Banach空间中二阶脉冲积分方程周期边值问题的注记[J]. Acta mathematica scientia,Series A, 2002, 22(3): 413 -420 .
[10]	WU Jun-De, CUI Shang-Bin. Existence and Uniqueness of Global Solutions for a Free Boundary Problem Modeling the Growth of Tumors under the Action of Drugs[J]. Acta mathematica scientia,Series A, 2010, 30(2): 305 -319 .

Abstract
References
Related Articles
Metrics
Comments
Recommended

TOP

Just accepted

Online first

Just accepted

Online first