Existence and uniqueness of solutions to a first-order differential equation via fixed point theorem in orthogonal metric space
Abstract
In this paper, among the other things, we show that the solution of the first-order
differential equation is a fixed point of an integral operator from an orthogonal metric space into itself. This approach provides a new proof of the classical existence and uniqueness theorems of solutions to a first-order differential equation.
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DOI: https://doi.org/10.22190/FUMI1901123G
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