Stability of Unbounded Differential Equations in Menger k -Normed Spaces: A Fixed Point Technique

Masoumeh Madadi, Reza Saadati and Manuel De la Sen
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Masoumeh Madadi: Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 1477893855, Iran
Reza Saadati: School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran
Manuel De la Sen: Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, 48940 Leioa, Bizkaia, Spain

Mathematics, 2020, vol. 8, issue 3, 1-10

Abstract: We attempt to solve differential equations υ ′ ( ν ) = Γ ( ν , υ ( ν ) ) and use the fixed point technique to prove its Hyers–Ulam–Rassias stability in Menger k -normed spaces.

Keywords: integral equation; differential equation; stability; Menger k-normed spaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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