1. New Applications of Perov's Fixed Point Theorem.
- Author
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Mureşan, Sorin, Iambor, Loredana Florentina, and Bazighifan, Omar
- Subjects
- *
METRIC spaces , *GENERALIZED spaces , *DIFFERENTIAL equations - Abstract
The goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov's fixed point theorem in generalized metric spaces, the existence and uniqueness of the solution are obtained for the proposed system. The approximation of the solution is given, and as a novelty, the approximation of its derivative is also obtained using the same iteration steps. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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