scholarly journals Some new nonlinear Volterra–Fredholm-type discrete inequalities and their applications

2008 ◽  
Vol 216 (2) ◽  
pp. 451-466 ◽  
Author(s):  
Qing-Hua Ma
2011 ◽  
Vol 2011 ◽  
pp. 1-24 ◽  
Author(s):  
Bin Zheng ◽  
Qinghua Feng

Some new Volterra-Fredholm-type discrete inequalities in two independent variables are established, which provide a handy tool in the study of qualitative and quantitative properties of solutions of certain difference equations. The established results extend some known results in the literature.


2017 ◽  
Vol 2017 ◽  
pp. 1-14 ◽  
Author(s):  
Run Xu

Some generalized discrete Volterra-Fredholm-type inequalities were developed, which can be used as effective tools in the qualitative analysis of the solution to difference equations.


2017 ◽  
pp. 495-510 ◽  
Author(s):  
Sabir Hussain ◽  
Shaista Amat ur Rehman ◽  
Humaira Khalid ◽  
Qing-Hua Ma

2017 ◽  
pp. 495-510
Author(s):  
Sabir Hussain ◽  
Shaista Amat ur Rehman ◽  
Humaira Khalid ◽  
Qing-Hua Ma

Author(s):  
Mohammed Charif Bounaya ◽  
Samir Lemita ◽  
Mourad Ghiat ◽  
Mohamed Zine Aissaoui

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Yazhou Tian ◽  
A. A. El-Deeb ◽  
Fanwei Meng

We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions. The obtained results can be utilized to investigate the qualitative theory of nonlinear delay Volterra–Fredholm type dynamic equations. An example is also presented to illustrate the theoretical results.


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