Open AccessSome Theorems in the Existence, Uniqueness and Stability solutions of Volterra Integrals Equations
Author(s) -
Raad N. Butris,
Sebar T. Qader
Publication year - 2019
Publication title -
academic journal of nawroz university
Language(s) - English
Resource type - Journals
ISSN - 2520-789X
DOI - 10.25007/ajnu.v8n4a480
Subject(s) - uniqueness , mathematics , volterra integral equation , fixed point theorem , volterra equations , stability (learning theory) , banach space , picard–lindelöf theorem , mathematical analysis , banach fixed point theorem , work (physics) , integral equation , pure mathematics , nonlinear system , physics , computer science , quantum mechanics , machine learning , thermodynamics
The aim of this work is to study the existence, uniqueness and stability solutions of Volterra integrals equations by using both Picard approximation and Banach fixed point theorems. This study leads to develop and extend the above theorems and to expand the results obtained by Butris.