Some Notes on the Existence of Solution for Ordinary Differential Equations via Fixed Point Theory

Fei He

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/309613

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:309613

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