The Two-Order Quasi-Linear Singular Perturbed Problems with Infinite Initial Conditions

Han Xu

doi:10.4028/www.scientific.net/AMM.353-356.3248

Paper Titles

Modeling Unstressed State of Kinematic Indeterminate Systems
p.3228

A New Solution to the Height of the Compressive Area of Reinforced Concrete Beams during Service Stage
p.3232

Relationship between Bending Solutions of FGM and Homogenous Circular Cylindrical Shells
p.3236

The Non-Planar Nonlinear Dynamic Model of the Inclined Cable with Lumped Masses
p.3243

The Two-Order Quasi-Linear Singular Perturbed Problems with Infinite Initial Conditions
p.3248

Numerical Triaxial Apparatus and Application
p.3251

Thermal Stress Analysis Based on Equivalent Age of Heterogeneous Mass Concrete
p.3256

Multi-Domain Analysis by FEM-BEM Coupling and BEM-DD Part I: Formulation and Implementation
p.3263

Multi-Domain Analysis by FEM-BEM Coupling and BEM-DD Part II: Convergence
p.3269

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 353-356The Two-Order Quasi-Linear Singular Perturbed...

The Two-Order Quasi-Linear Singular Perturbed Problems with Infinite Initial Conditions

Abstract:

In this paper a kind of quasi-linear singular perturbed problems with infinite initial conditions is investigated. The existence and uniqueness of the solution are proved.Therefore the asymptotic analysis of the solution can be obtained.

You might also be interested in these eBooks

Advances in Civil and Industrial Engineering

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 353-356)

Pages:

3248-3250

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.353-356.3248

Citation:

Cite this paper

Online since:

August 2013

Authors:

Han Xu

Keywords:

Asymptotic Analysis, Singular Boundary Layer, Singular Perturbation, Stable Manifold

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Wang aifeng, Ni mingkang. Inifinite-large initial value problem for a class of quasi-linear singular perturbed equation. Journal of Jilin University.

Google Scholar

[2] A.B. Vasilyeva V.F. BuTuzov, Asymptotic Expansion of the solution to Singular-perturbed equation, ≪High School≫, Moscow, 1990. (in Russian).

Google Scholar

[3] E.T. Copson, Asymptotic Expansions, Cambridge At the university press, (1971).

Google Scholar

[4] A.B. Vasileva, V. Butuzov, Singularly Perturbed Equations in Criticle Case, Technical Report MRC-TSR 2039, University of Wisconsin, Madison, WI, (1980).

Google Scholar

[5] Ni mingkang. A kind of quasi-linear initial-value problem in the critical conditions[J]. Journal of East normal University, 2006, 01.

Google Scholar