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
Keyword(s):  
Fredholm Type ◽  
Discrete Inequalities

scholarly journals Some New Volterra-Fredholm-Type Discrete Inequalities and Their Applications in the Theory of Difference Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-24 ◽  
Author(s):  
Bin Zheng ◽  
Qinghua Feng
Keyword(s):  
Difference Equations ◽  
Fredholm Type ◽  
Qualitative And Quantitative ◽  
Independent Variables ◽  
Discrete Inequalities ◽  
Quantitative Properties ◽  
Two Independent Variables

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.

scholarly journals Some New Volterra-Fredholm-Type Nonlinear Discrete Inequalities with Two Variables Involving Iterated Sums and Their Applications

2017 ◽  
Vol 2017 ◽  
pp. 1-14 ◽  
Author(s):  
Run Xu
Keyword(s):  
Qualitative Analysis ◽  
Difference Equations ◽  
Fredholm Type ◽  
Discrete Inequalities

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.

scholarly journals Some new Volterra-Fredholm type discrete inequalities with four iterated infinite sums with applications

2017 ◽  
pp. 495-510 ◽  
Author(s):  
Sabir Hussain ◽  
Shaista Amat ur Rehman ◽  
Humaira Khalid ◽  
Qing-Hua Ma
Keyword(s):  
Fredholm Type ◽  
Discrete Inequalities ◽  
Infinite Sums

scholarly journals Some new Volterra-Fredholm type discrete inequalities with four iterated infinite sums with applications

2017 ◽  
pp. 495-510
Author(s):  
Sabir Hussain ◽  
Shaista Amat ur Rehman ◽  
Humaira Khalid ◽  
Qing-Hua Ma
Keyword(s):  
Fredholm Type ◽  
Discrete Inequalities ◽  
Infinite Sums

On a nonlinear integro-differential equation of Fredholm type

2021 ◽  
Vol 13 (2) ◽  
pp. 194
Author(s):  
Mohammed Charif Bounaya ◽  
Samir Lemita ◽  
Mourad Ghiat ◽  
Mohamed Zine Aissaoui
Keyword(s):  
Differential Equation ◽  
Fredholm Type ◽  
Integro Differential Equation

scholarly journals Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Yazhou Tian ◽  
A. A. El-Deeb ◽  
Fanwei Meng
Keyword(s):  
Time Scales ◽  
Qualitative Theory ◽  
Integral Inequalities ◽  
Dynamic Equations ◽  
Fredholm Type ◽  
Explicit Bounds ◽  
Theoretical Results ◽  
Nonlinear Delay

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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