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To achieve proving the existence and uniqueness of solution of the given problem (1.5), we employ Banach's contraction mapping principle and Krasnoselskii's fixed point theorem in Section 3.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com