Asymptotically Stable Solutions for a Nonlinear Functional Integral Equation

2015 ◽  
Vol 41 (1) ◽  
pp. 1-24
Author(s):  
L. T. P. Ngoc ◽  
N. T. Long
Keyword(s):  
Integral Equation ◽  
Functional Integral ◽  
Asymptotically Stable ◽  
Nonlinear Functional ◽  
Stable Solutions

scholarly journals Asymptotically Stable Solutions of a Generalized Fractional Quadratic Functional-Integral Equation of Erdélyi-Kober Type

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Mohamed Abdalla Darwish ◽  
Beata Rzepka
Keyword(s):  
Banach Space ◽  
Integral Equation ◽  
Stable Solution ◽  
Functional Integral ◽  
Quadratic Functional ◽  
Asymptotically Stable ◽  
Stable Solutions ◽  
Asymptotically Stable Solution

We study a generalized fractional quadratic functional-integral equation of Erdélyi-Kober type in the Banach spaceBC(ℝ+). We show that this equation has at least one asymptotically stable solution.

Asymptotic stability of solutions for a class of nonlinear functional integral equations of fractional order

2016 ◽  
Vol 53 (2) ◽  
pp. 256-288
Author(s):  
Ümit Çakan ◽  
İsmet Özdemir
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Measure Of Noncompactness ◽  
Functional Integral ◽  
Asymptotically Stable ◽  
Stability Of Solutions ◽  
Nonlinear Functional ◽  
Bounded Functions ◽  
Stable Solutions ◽  
Functional Integral Equations

In this paper, using a Darbo type fixed point theorem associated with the measure of noncompactness we prove a theorem on the existence of asymptotically stable solutions of some nonlinear functional integral equations in the space of continuous and bounded functions on R+ = [0,∞). We also give some examples satisfying the conditions our existence theorem.

Existence and global attractivity of solutions of a nonlinear functional integral equation

2010 ◽  
Vol 216 (1) ◽  
pp. 261-268 ◽  
Author(s):  
Józef Banaś ◽  
Krishnan Balachandran ◽  
Diana Julie
Keyword(s):  
Integral Equation ◽  
Global Attractivity ◽  
Functional Integral ◽  
Nonlinear Functional

scholarly journals Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Zhinan Xia
Keyword(s):  
Integral Equation ◽  
Asymptotic Stability ◽  
Global Asymptotic Stability ◽  
Mixed Type ◽  
Measure Of Noncompactness ◽  
Functional Integral ◽  
Nonlinear Functional ◽  
The Fixed Point Theorem ◽  
Equation Of Mixed Type ◽  
Stability Of The Solution

The existence results of global asymptotic stability of the solution are proved for functional integral equation of mixed type. The measure of noncompactness and the fixed-point theorem of Darbo are the main tools in carrying out our proof. Furthermore, some examples are given to show the efficiency and usefulness of the main findings.

Sign in / Sign up

Export Citation Format

Share Document