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arxiv: 1701.02038 · v1 · pith:SLGYS3IOnew · submitted 2017-01-08 · 🧮 math.DS

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

classification 🧮 math.DS
keywords equationsolutionsexistenceintegrallowermethodresultstime
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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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