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

Mathematics

Masoumeh Madadi¹  Manuel De la Sen²  Reza Saadati³ 

[1] Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 1477893855, Iran;Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, 48940 Leioa, Bizkaia, Spain;School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran;

关键词: integral equation;    differential equation;    stability;    menger k-normed spaces;   

DOI  :  10.3390/math8030400

来源: DOAJ

【 摘 要 】

We attempt to solve differential equations ${\upsilon }^{\prime }(\nu )=\Gamma (\nu ,\upsilon (\nu ))$ and use the fixed point technique to prove its Hyers−Ulam−Rassias stability in Menger k-normed spaces.

【 授权许可】

Unknown