On stability and superstability of some generalized Cauchy functional equations

Other Title(s)

حول الثبات و فوق الثبات لبعض معادلات كوشى الدالية المعممة

Dissertant

Abu Ghalwa, Riham Jamal Tawfiq

Thesis advisor

Asad, Asad Yusuf

Comitee Members

al-Saqqa, Iman Hashim
al-Ashqar, Ahmad Mahmud

University

Islamic University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2013

English Abstract

In this thesis, we study some importants facts on Cauchy functional equations and we study the stability and superstability of some generalized Cauchy functional equations.

We study the Hyers-Ulam, Th.

M.

Rassias and Gavruta Stability of a generalized Cauchy linear functional equation such that the Cauchy difference of a generalized Cauchy linear functional equation is bounded or unbounded.

After this, we study the Hyers-Ulam Stability of some Cauchy functional equations such that the Cauchy difference of a Cauchy functional equations is bounded.

Also we study the superstability of some generalized Cauchy functional equations such that the Cauchy difference of a generalized Cauchy functional equations is bounded.

Main Subjects

Mathematics

No. of Pages

61

Table of Contents

Table of contents.

Abstract.

Introduction.

Chapter One : On Cauchy functional equations.

Chapter Two : The stability of generalized Cauchy linear functional equation.

Chapter Three : Hyers-ulam stability and superstability of generalized cauchy functional equations.

Conclusion.

References.

American Psychological Association (APA)

Abu Ghalwa, Riham Jamal Tawfiq. (2013). On stability and superstability of some generalized Cauchy functional equations. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-531354

Modern Language Association (MLA)

Abu Ghalwa, Riham Jamal Tawfiq. On stability and superstability of some generalized Cauchy functional equations. (Master's theses Theses and Dissertations Master). Islamic University. (2013).
https://search.emarefa.net/detail/BIM-531354

American Medical Association (AMA)

Abu Ghalwa, Riham Jamal Tawfiq. (2013). On stability and superstability of some generalized Cauchy functional equations. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-531354

Language

English

Data Type

Arab Theses

Record ID

BIM-531354