A nonlinear Volterra-type integral inequality

doi:10.13878/j.cnki.jnuist.2017.04.005

2025-5-28- 13

Home > Archive>Volume 9, Issue 4, 2017 >391-394. DOI:10.13878/j.cnki.jnuist.2017.04.005

A nonlinear Volterra-type integral inequality
DOI:
                        10.13878/j.cnki.jnuist.2017.04.005
                    
CSTR:
                        
                    
Author:
                        WANG TingxiuWANG Tingxiu
Department of Mathematics, Texas A&M University-Commerce, Commerce, TX 75428 USA
Find this author on All Journals
Find this author on BaiDu
Search for this author on this site

                    
Affiliation:
Clc Number:
Fund Project:

Article

Figures

Metrics

Reference

Cited by

Materials

Comments

Abstract:

In this paper,we briefly review the development of research on Gronwall's inequality,then obtain a result for the following nonlinear Volterra-type integral inequality:
w(u(t))≤g(t))+∑_i=1ⁿ∫_{α_i(t₀)}^α_i(t)f_i(t,s)
∏_j=1^mH_ij(u(s))G_ij(max_s-h≤ξ≤s u (ξ))ds.

Key words:nonlinear integral inequalities;Gronwall inequality;Gronwall-type inequality;Volterra integro-differential inequalities;Lyapunov's second method

Get Citation

WANG Tingxiu. A nonlinear Volterra-type integral inequality[J]. Journal of Nanjing University of Information Science & Technology,2017,9(4):391-394

Copy

Article Metrics

Abstract:
PDF:
HTML:
Cited by:

History

Received:May 14,2017
Revised:
Adopted:
Online: July 11,2017
Published:

Article QR Code

Address：No. 219, Ningliu Road, Nanjing, Jiangsu Province

Postcode：210044

Phone：025-58731025

Get Citation

Share

Article Metrics

History

Article QR Code