Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

The singularly perturbed problem of vector integro-differential equations

The singularly perturbed problem of vector integro-differential equations The singularly perturbed boundary value problem of scalar integro-differential equations has been studied extensively by the differential inequality method. However, it does not seem possible to carry this method over to a corresponding nonlinear vector integro-differential equation. Therefore, for n-dimensional vector integro-differential equations the problem has not been solved fully. Here, we study this nonlinear vector problem and obtain some results. The approach in this paper is to transform the appropriate integro-differential equations into a canonical or diagonalized system of two first-order equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The singularly perturbed problem of vector integro-differential equations

Acta Mathematicae Applicatae Sinica , Volume 26 (2) – Mar 18, 2010

Loading next page...
 
/lp/springer-journals/the-singularly-perturbed-problem-of-vector-integro-differential-P7d5yYFbHR
Publisher
Springer Journals
Copyright
Copyright © 2010 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Theoretical, Mathematical and Computational Physics; Math Applications in Computer Science; Applications of Mathematics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-008-8063-4
Publisher site
See Article on Publisher Site

Abstract

The singularly perturbed boundary value problem of scalar integro-differential equations has been studied extensively by the differential inequality method. However, it does not seem possible to carry this method over to a corresponding nonlinear vector integro-differential equation. Therefore, for n-dimensional vector integro-differential equations the problem has not been solved fully. Here, we study this nonlinear vector problem and obtain some results. The approach in this paper is to transform the appropriate integro-differential equations into a canonical or diagonalized system of two first-order equations.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Mar 18, 2010

References