scholarly journals " Existence of asymptotically stable solutions to a nonlinear integral equation of mixed type"

2019 ◽  
Vol 20 (1) ◽  
pp. 337-348
Author(s):  
Cristian Vladimirescu ◽  
Keyword(s):  
Integral Equation ◽  
Mixed Type ◽  
Nonlinear Integral Equation ◽  
Asymptotically Stable ◽  
Stable Solutions ◽  
Equation Of Mixed Type

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.

On the numerical solutions of integral equation of mixed type

2003 ◽  
Vol 12 (1-2) ◽  
pp. 165-182 ◽  
Author(s):  
M. A. Abdou ◽  
Khamis I. Mohamed ◽  
A. S. Ismail
Keyword(s):  
Integral Equation ◽  
Mixed Type ◽  
Numerical Solutions ◽  
Equation Of Mixed Type

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.

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