Title | The conditions of Hyers—Ulam—Rassias-stability of a set of equations |
Publication Type | Journal Article |
Year of Publication | 2017 |
Authors | Martynyuk, AA |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2017.08.011 |
Issue | 8 |
Section | Mathematics |
Pagination | 11-16 |
Date Published | 8/2017 |
Language | Russian |
Abstract | For a set of regularized equations and a set of equations with causal operators, the sufficient conditions of Hyers—Ulam—Rassias-stability are obtained. |
Keywords | Hyers—Ulam—Rassias-stability, set of equations with causal operators, set of regularized equations |
References:
- Hyers, D. H. (1941). On the stability of the linear functional equation. Proc. Natl. Acad. Sci. U. S. A., 27, pp. 222-224. https://doi.org/10.1073/pnas.27.4.222
- Rassias, Th. M. (1978). Functional Equations, Inequalities and Applications, Proc. Amer. Math. Soc., 72, pp. 297-300. https://doi.org/10.1090/S0002-9939-1978-0507327-1
- Ulam, S. M. (1960). A Collection of the Mathematical Problems. New York: Interscience.
- Laksmikantham, V., Bhaskar, T. G. & Devi, J. V. (2006). Theory of Set Differential Equations in Metric Spaces. Cambridge: Cambridge Scientific Publishers.
- Martynyuk, A. A. & Martynyuk-Chernienko, Yu. A. (2012). Uncertain Dynamical Systems: Stability and Motion Control. Boca Raton, London, New York: CRC Press.
- Rus, I. A. (2010). Ulam stabilities of ordinary differential equations in a Banach space. Carpathian J. Math., 26, No. 1, pp. 103-107.
- Corduneanu, C., Li, Y. & Mahdavi, M. (2016). Functional Differential Equations: Advances and Applications. New York: Wiley. https://doi.org/10.1002/9781119189503