具有小延迟的微分-差分方程渐近解

Abstract

Abstract: A class of initial value problems for nonlinear differentialdifference equation with small time delay was studied with the corrective method of boundary layer. Under some definite conditions, the uniformly valid a symptotic solution of the problems was obtained. Especially, two corrective terms of boundary layer were given. They are decreasing continuously and exponentially and have the characteristic of ladder structure.

Key words: nonlinear, singular perturbation, initial value problem, asymptotic solution, boundary layer

CLC Number:

O175.14

OUYANG Cheng. Asymptotic Solution of Initial Value Problems forDifferentialdifference Equation with Small Time Delay[J].J4, 2008, 46(04): 628-632.

[1]	YANG Wei. Existence of Infinite Positive Periodic Solutions for Nonlinear Systems with Parameters [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1025-1030.
[2]	ZHANG Ruiyan. Existence of Multiple Positive Solutions for Nonlinear Third-Order Three-Point Boundary Value Problems [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1050-1056.
[3]	LIUBAVIN Aleksei, NI Mingkang, YANG Qian. Solutions of Internal Layers for a Class of Singularly Perturbed Quasilinear Robin Boundary Value Problems with Discontinuous Right-Hand Side [J]. Journal of Jilin University Science Edition, 2021, 59(3): 451-459.
[4]	LIU Tianze, ZHANG Yong, TAN Xili. Berry-Esseen Bound for Error Density Estimators in Nonlinear Autoregressive Models [J]. Journal of Jilin University Science Edition, 2021, 59(1): 49-54.
[5]	WANG Xuan, LIANG Yuting. Asymptotics of Solutions for Non-autonomous Classical Reaction-Diffusion Equation with Nonlinear Boundary Condition and Weak Fading Memory [J]. Journal of Jilin University Science Edition, 2020, 58(6): 1309-1317.
[6]	WANG Xuan, DU Yali, LIANG Yuting. Time-Dependent Global Attractor for Berger Equation with Nonlinear Damping [J]. Journal of Jilin University Science Edition, 2020, 58(5): 1035-1046.
[7]	CHEN Guofang, WU Dan, LV Junliang. A Modified Cel-Centered Finite Volume Method for Solving Filtration Equations [J]. Journal of Jilin University Science Edition, 2020, 58(5): 1135-1141.
[8]	ZHOU Ran, ZHANG Yanni. Renormalization Group Method for Initial-Boundary Value Problem of Convection-Diffusion Equation [J]. Journal of Jilin University Science Edition, 2020, 58(5): 1154-1158.
[9]	YU Shengbao, FANG Yu, GAO Lihui, DIAO Shu. SHEPWM Control Method of Controllable Emission Current Frequency Based on Improved Particle Swarm Optimization Algorithm [J]. Journal of Jilin University Science Edition, 2020, 58(5): 1207-1214.
[10]	MAO Beixing, WANG Dongxiao. Self-adaptive Sliding Mode Synchronization of Fractional-Order Nonlinear Chaotic Systems with Outer Disturbances and Uncertainty [J]. Journal of Jilin University Science Edition, 2020, 58(5): 1237-1242.
[11]	LI Chunping, GONG Lijing, ZHOU Zhiming, ZHANG Jian. Third-Order Nonlinear Optical Properties of ZnO Nanowires [J]. Journal of Jilin University Science Edition, 2020, 58(5): 1254-1258.
[12]	ZHANG Yutao, NI Mingkang. Internal Layer of a Class of Singularly Perturbed Equations [J]. Journal of Jilin University Science Edition, 2020, 58(2): 189-201.
[13]	NING Tong, ZHANG Jianhua. Nonlinear Skew Jordan Triple Derivable Maps on Factor von Neumann Algebras [J]. Journal of Jilin University Science Edition, 2020, 58(2): 202-208.
[14]	ZHAO Tao, WANG Xuan. Asymptotic Behavior of Solutions for Classical ReactionDiffusionEquation with Nonlinear Boundary Condition and Weak Memory#br# [J]. Journal of Jilin University Science Edition, 2019, 57(5): 1028-1034.
[15]	ZHU Yan. Existence of Positive Solutions of a Class of FirstOrder SingularDifferential Equations with Nonlinear Boundary Conditions#br# [J]. Journal of Jilin University Science Edition, 2019, 57(5): 1035-1040.

Asymptotic Solution of Initial Value Problems forDifferentialdifference Equation with Small Time Delay

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10