Stability and Non-Linear Approximation for y' (t) = - f(y(t-1)).
Klaus Doden (1980)
Manuscripta mathematica
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Klaus Doden (1980)
Manuscripta mathematica
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Erwin Turdza (1970)
Annales Polonici Mathematici
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Pei-Dong Liu (1997)
Manuscripta mathematica
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Wolfgang Alte (1977/78)
Manuscripta mathematica
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J.W. Cogdell, I.I. Piatetski-Shapiro (1998)
Manuscripta mathematica
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Klaus Doden (1980/81)
Manuscripta mathematica
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Ulrich Mertins (1970)
Manuscripta mathematica
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P. M. Peruničić (1989)
Matematički Vesnik
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Claudi Alsina (1991)
Annales Polonici Mathematici
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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.
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.
Marek Czerni (1988)
Aequationes mathematicae
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Gabriele Anzellotti (1984)
Manuscripta mathematica
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Michael Reeken (1972)
Manuscripta mathematica
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Renata Malejki (2015)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a fixed point theorem for some function spaces. We end the paper with some new inequalities characterizing the inner product spaces.
J. Terjéki (1979)
Annales Polonici Mathematici
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Michael Reeken (1973)
Manuscripta mathematica
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