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http://hdl.handle.net/20.500.12358/21408
TitleOn Stability of Some Types of Functional Equations
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Abstract

In this thesis, we study a stability of some types of functional equations. Functional equations are equations in which the unknown (or unknowns) are functions. the aim of this study investigate Hyers-Ulam-Rassias stability of the orthogonally Jensen functional equation in two kinds (additive and quadratic). And study a special case of the Hyers-Ulam stability problem, which is called the superstability. In this study we investigate the superstability of the pexiderized cosine functional equation f1(x + y) + f2(x - y) = 2g1(x)g2(y); where f1; f2; g1 and g2 are functions from R to C: And we get a some critical values of the stability problem, which is a values that is no stability at it. We study the two papers titled “The Stability of the Pexiderized Cosine Functional Equation ˮ by C. Kusollerschariya and P. Nakmahachalasint. [3] and “On the Stability of Orthogonal Functional Equations ˮ by Choonkil Park. [1].

Authors
Al-mosadder, Rehab Saleem Hasan
Supervisors
As''ad, As''ad Yousef
Typeرسالة ماجستير
Date2012
LanguageEnglish
Publisherthe islamic university
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  • PhD and MSc Theses- Faculty of Science [445]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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