The singular perturbation of boundary value problem for third-order nonlinear vector integro-differential equation and its application
type: Item
instance of: scholarly article
title: The singular perturbation of boundary value problem for third-order nonlinear vector integro-differential equation and its application
zbMATH Open document ID: 1236.45007
author: Surong Lin
published in: Applied Mathematics and Computation
publication date: 2011-12-29T00:00:00Z
review text: This interesting paper applies the theory and method of differential inequalities to study a singularly perturbed boundary value problems to a class of nonlinear vector third-order integro-differential equation, and uses the findings to solve the existence of solution to a singularly perturbed boundary value problems of nonlinear fourth-order vector differential equation. The asymptotic estimate of the solution is also given.
reviewed by: K. C. Gupta
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 47G20
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34K26
Mathematics Subject Classification ID: 45Jxx
zbMATH DE Number: 5992873
zbMATH Keywords: nonlinear vector integro-differential equation
zbMATH Keywords: singular perturbation
zbMATH Keywords: boundary value problem
zbMATH Keywords: differential inequality
MaRDI profile type: Publication
full work available at URL: j.amc.2011.06.056
OpenAlex ID: W2008037663
Wikidata QID: Q115361615
cites work: Q4285817
cites work: Q4361672
cites work: Q4025171
cites work: The nonlinear boundary value problem for a class of integro-differential system
cites work: Q4528006
cites work: Q4470863
cites work: Q3513668
cites work: Differential Inequalities of Higher Order and the Asymptotic Solution of Nonlinear Boundary Value Problems
cites work: Nonlinear singular perturbation phenomena: theory and applications
DOI: 10.1016/J.AMC.2011.06.056
description: scientific article; zbMATH DE number 5992873