Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Quasilinear singularly perturbed problem with boundary perturbation.

Jia-qi Mo1

  • 1Department of Mathematics, Anhui Normal University, Wuhu 241000, China. mojiaqi@mail.ahnu.edu.cn

Journal of Zhejiang University. Science
|August 24, 2004
PubMed
Summary

This study analyzes quasilinear singularly perturbed problems with boundary perturbations. Differential inequalities reveal the asymptotic solution behavior for boundary value problems.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

[Study on quality standard of Berberidis Cortex].

Zhongguo Zhong yao za zhi = Zhongguo zhongyao zazhi = China journal of Chinese materia medica·2017
Same author

Nonlinear predator-prey singularly perturbed Robin Problems for reaction diffusion systems.

Journal of Zhejiang University. Science·2003
See all related articles

Area of Science:

  • Mathematics
  • Applied Mathematics
  • Differential Equations

Background:

  • Singularly perturbed problems are differential equations with a small parameter multiplying the highest derivative.
  • Boundary perturbations introduce complexities in analyzing the behavior of solutions.
  • Understanding asymptotic behavior is crucial for approximating solutions in these problems.

Purpose of the Study:

  • To investigate the asymptotic behavior of solutions for a specific class of quasilinear singularly perturbed problems.
  • To analyze the impact of boundary perturbations on the solution's behavior.
  • To establish theoretical conditions for studying these problems.

Main Methods:

  • Utilizing the theory of differential inequalities.
  • Developing analytical techniques for boundary value problems.
  • Applying perturbation methods to analyze asymptotic behavior.

Main Results:

  • Established conditions under which the asymptotic behavior of the solution can be studied.
  • Demonstrated the effectiveness of differential inequalities in analyzing complex boundary value problems.
  • Provided insights into the influence of boundary perturbations on solution behavior.

Conclusions:

  • The study successfully characterized the asymptotic behavior of solutions for the considered problems.
  • The applied methods offer a robust framework for analyzing similar singularly perturbed problems.
  • Further research can extend these findings to more complex scenarios.

Related Experiment Videos