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arXiv · 1701.02038

Existence Results by The Method of Upper and Lower Solutions for Volterra Integral Equation on Time Scales

Alaa E. Hamza·Ahmed G. Ghallab
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Abstract

In this article, we investigate the method of upper and lower solutions for Volterra integral equation of the first kind on arbitrary time scale $\mathbb{T}$. We establish some existence results in a certain sector. Moreover, monotone iterative technique is used to obtain maximal and minimal solutions of the considered equation.

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Alaa E. Hamza, Ahmed G. Ghallab. 2017-01-08. Existence Results by The Method of Upper and Lower Solutions for Volterra Integral Equation on Time Scales. https://arxiv.org/abs/1701.02038

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