On solutions of the Gołąb-Schinzel equation
نویسندگان
چکیده
منابع مشابه
Approximate Solutions of the Generalized Golab-schinzel Equation
play a significant role in the theory of functional equations. Some information on the applications of (1.1) and (1.2) in the determination of substructures of algebraical structures, in the theory of geometric objects and classification of near-rings and quasialgebras, can be found, for example, in [1–5] and in the recent survey paper [6]. At the 38th International Symposium on Functional Equa...
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Let $X$ be a vector space over a field $K$ of real or complex numbers. We will prove the superstability of the following Go{l}c{a}b-Schinzel type equation$$f(x+g(x)y)=f(x)f(y), x,yin X,$$where $f,g:Xrightarrow K$ are unknown functions (satisfying some assumptions). Then we generalize the superstability result for this equation with values in the field of complex numbers to the case of an arbitr...
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Let X be a linear space over the field of real or complex numbers. We characterize solutions f : X → K and M : K → K of the equation f(x + M(f(x))y) = f(x)f(y) under assumption that the set {x ∈ X : f(x) 6= 0} has an algebraically interior point. As a consequence we give solutions of the equation such that f is bounded on a set having an algebraically interior point.
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قاعده مقتضی و مانع در متون فقهی کم و بیش مستند احکام قرار گرفته و مورد مناقشه فقهاء و اصولیین می باشد و مشهور معتقند مقتضی و مانع، قاعده نیست بلکه یکی از مسائل ذیل استصحاب است لذا نگارنده بر آن شد تا پیرامون این قاعده پژوهش جامعی انجام دهد. به عقیده ما مقتضی دارای حیثیت مستقلی است و هر گاه می گوییم مقتضی احراز شد یعنی با ماهیت مستقل خودش محرز گشته و قطعا اقتضاء خود را خواهد داشت مانند نکاح که ...
15 صفحه اولon hilbert golab-schinzel type functional equation
abstract. let x be a vector space over a field k of real or complex numbers.we will prove the superstability of the following golab-schinzel type equationf(x + g(x)y) = f(x)f(y); x; y 2 x;where f; g are unknown functions (satisfying some assumptions). then we generalize the superstability result for this equation with values in the field of complex numbers to the case of an arbitrary hilbert spac...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2001
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171201006597