Some notes on the existence of solution for ordinary differential equations via fixed point theory (Q1723826)
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scientific article; zbMATH DE number 7022139
| Language | Label | Description | Also known as |
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| English | Some notes on the existence of solution for ordinary differential equations via fixed point theory |
scientific article; zbMATH DE number 7022139 |
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Some notes on the existence of solution for ordinary differential equations via fixed point theory (English)
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14 February 2019
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Summary: We establish a fixed point theorem with \(w\)-distance for nonlinear contractive mappings in complete metric spaces. As applications of our results, we derive the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions. Here, we need not assume that the equation has a lower solution.
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