On the stability of the functional equation of the first order
Erwin Turdza (1970)
Annales Polonici Mathematici
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Erwin Turdza (1970)
Annales Polonici Mathematici
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Stanisław Kasprzyk (1972)
Annales Polonici Mathematici
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Sam B. Nadler, Jr. (1973)
Colloquium Mathematicae
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M. M. Zdravkovich (1970)
Matematički Vesnik
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Zenon Moszner (2016)
Annales Mathematicae Silesianae
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In the paper two types of stability and of b-stability of functional equations are distinguished.
Zenon Moszner (2013)
Banach Center Publications
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The inverse stability of functional equations is considered, i.e. when the function, approximating a solution of the equation, is an approximate solution of this equation.
P. M. Peruničić (1989)
Matematički Vesnik
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Leites, D. (2004)
Journal of Mathematical Sciences (New York)
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Ashordia, M., Kekelia, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Li, Weiye, Szidarovszky, Ferenc (1999)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Hoever, Georg, Siedentop, Heinz (1999)
Mathematical Physics Electronic Journal [electronic only]
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Kekelia, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
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John Leth, Rafael Wisniewski (2014)
International Journal of Applied Mathematics and Computer Science
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This paper deals with stability analysis of hybrid systems. Various stability concepts related to hybrid systems are introduced. The paper advocates a local analysis. It involves the equivalence relation generated by reset maps of a hybrid system. To establish a tangible method for stability analysis, we introduce the notion of a chart, which locally reduces the complexity of the hybrid system. In a chart, a hybrid system is particularly simple and can be analyzed with the use of methods...