scholarly journals Qualitative Theory of Functional Differential and Integral Equations 2016

2017 ◽  
Vol 2017 ◽  
pp. 1-2
Author(s):  
Cemil Tunç ◽  
Bingwen Liu ◽  
Luís R. Sanchez ◽  
Mohsen Alimohammady ◽  
Octavian G. Mustafa ◽  
...  
Keyword(s):  
Integral Equations ◽  
Qualitative Theory ◽  
Functional Differential ◽  
Differential And Integral Equations

scholarly journals Qualitative Theory of Functional Differential and Integral Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-2 ◽  
Author(s):  
Cemil Tunç ◽  
Mouffak Benchohra ◽  
Bingwen Liu ◽  
Muhammad N. Islam ◽  
Samir H. Saker
Keyword(s):  
Integral Equations ◽  
Qualitative Theory ◽  
Functional Differential ◽  
Differential And Integral Equations

scholarly journals Compactness Conditions in the Study of Functional, Differential, and Integral Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Józef Banaś ◽  
Kishin Sadarangani
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Functional Integral ◽  
Existence Results ◽  
Measures Of Noncompactness ◽  
Functional Differential ◽  
Functional Integral Equations ◽  
Differential And Integral Equations

We discuss some existence results for various types of functional, differential, and integral equations which can be obtained with the help of argumentations based on compactness conditions. We restrict ourselves to some classical compactness conditions appearing in fixed point theorems due to Schauder, Krasnosel’skii-Burton, and Schaefer. We present also the technique associated with measures of noncompactness and we illustrate its applicability in proving the solvability of some functional integral equations. Apart from this, we discuss the application of the mentioned technique to the theory of ordinary differential equations in Banach spaces.

Some New Impulsive Integral Inequalities

2014 ◽  
Vol 536-537 ◽  
pp. 876-879
Author(s):  
Bao Ju Sun
Keyword(s):  
Integral Equations ◽  
Qualitative Theory ◽  
Integral Inequalities ◽  
Differential And Integral Equations

Some new impulsive integral inequalities related to certain integral inequalities are established, which extend the results proved by J. Li in [On some new impulsive integral inequalities, Journal of Inequalities and Applications, Vol. 200. The inequalities given here can be used as basic tools in the qualitative theory of certain impulsive differential and integral equations.

scholarly journals Convergence and Stability Results of Modified CUIA Iterative Scheme for Hyperbolic Convex Metric space

2021 ◽  
Vol 2089 (1) ◽  
pp. 012040
Author(s):  
Surjeet Singh Chauhan Gonder ◽  
Khushboo Basra
Keyword(s):  
Fixed Points ◽  
Integral Equations ◽  
Metric Space ◽  
Iterative Scheme ◽  
Real Life ◽  
Convex Metric Space ◽  
Convergence And Stability ◽  
Life Problems ◽  
Stability Results ◽  
Differential And Integral Equations

Abstract The iterative fixed points have numerous applications in locating the solution of some real-life problems which can be modelled into linear as well as nonlinear differential and integral equations. In this manuscript, first of all, a new iterative scheme namely Modified CUIA iterative scheme is introduced. We first prove a theorem to check the convergence of this iteration for Hyperbolic Convex metric space. The result is then supported with one example. Further, another theorem is proved establishing the weak T stability of modified CUIA iterative scheme on the above space.

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