Singular Perturbation of Volterra Type Integrodifferential Equation for Linear Boundary Value Problems

Author

Guocan, Wang ; Kesheng, Xu

Author_Institution

Sch. of Math. & Phys., Dalian Jiaotong Univ., Dalian, China

fYear

2010

fDate

10-12 Aug. 2010

Firstpage

643

Lastpage

646

Abstract

Singular perturbation of Volterra type integro-differential equation for linear boundary value problems by means of differential inequality theories was studied. Based on the results of second order linear boundary value problems, the upper and lower solutions method of Volterra type integro-differential equation for nonlinear boundary value problems was established. Specific upper and lower solutions were constructed existence and uniformly valid estimate of solutions for linear boundary value problems of a Volterra type integro-differential equation under suitable condition were obtained. The results showed that seems new to apply these kinds of Volterra type integro-differential equation for linear boundary value problems.

Keywords

Volterra equations; boundary-value problems; integro-differential equations; singularly perturbed systems; Volterra type integrodifferential equation; differential inequality theories; nonlinear boundary value problems; second order linear boundary value problems; singular perturbation; Approximation methods; Boundary value problems; Business; Electronic mail; Integrodifferential equations; linear boundary value problem; nonlinear integro-differential equation; singular perturbation;

fLanguage

English

Publisher

ieee

Conference_Titel

Distributed Computing and Applications to Business Engineering and Science (DCABES), 2010 Ninth International Symposium on

Conference_Location

Hong Kong

Print_ISBN

978-1-4244-7539-1

Type

conf

DOI

10.1109/DCABES.2010.150

Filename

5570852