Multiplicative inverse functional equations : theory and applications

Multiplicative inverse functional equations : theory and applications /

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Bibliographic Details
Main Author: Senthil Kumar, B. V.
Corporate Author: ProQuest (Firm)
Other Authors: Dutta, Hemen, 1981-
Format: Electronic eBook
Language:English
Published: Cham : Springer, 2020.
Series:Studies in systems, decision and control ; v. 289.
Subjects:
Functional equations.
Online Access:Connect to this title online (unlimited simultaneous users allowed; 325 uses per year)
Table of Contents:
  • Intro
  • Preface
  • Contents
  • About the Authors
  • 1 Introduction to Functional Equations and Ulam Stability Theory
  • 1.1 Significance of Functional Equations
  • 1.2 Application of Functional Equation in Geometry
  • 1.3 Application of Functional Equation in Financial Management
  • 1.4 Application of Functional Equation in Information Theory
  • 1.5 Application of Functional Equation in Wireless Sensor Networks
  • 1.6 Interpretation of Multiplicative Inverse Functional Equations
  • 1.6.1 Geometrical Interpretation of Eq. (1.17)
  • 1.6.2 An Application of Eq. (1.17) to Resistances connected in parallel
  • 1.7 Relevance of RQD and RQA Functional Equations
  • 1.8 Ulam's Motivation Problem for Stability of Functional Equation
  • 1.9 Stability of Functional Equation Incorporated with a Positive Constant (or H-U Stability)
  • 1.10 Stability of Functional Equation Incorporated with Sum of Exponents of Norms (or H-U-R Stability)
  • 1.11 Stability of Functional Equation Incorporated with Product of Exponents of Norms (or U-G-R Stability)
  • 1.12 Stability of Functional Equation Involving a General Control Function (or Generalized H-U-R Stability)
  • 1.13 Stability Involving Assorted Type of Multiplication-Addition of Exponents of Norms (or JMR Stability)
  • 1.14 Various Types of Functional Equations
  • 2 Stability and Instability of Multiplicative Inverse Type Tredecic and Quottuordecic Functional Equations in Non-archimedean Spaces
  • 2.1 Introduction
  • 2.2 Preliminaries
  • 2.3 Fundamental Stabilities of Eqs. (2.1) and (2.2)
  • 2.4 Counter-Examples
  • 5 Ulam Stabilities of Multiplicative Inverse Type Novemdecic and Vigintic Functional Equations in Intuitionistic Fuzzy Normed Spaces
  • 5.1 Introduction
  • 5.2 Preliminaries
  • 5.3 Ulam Stabilities of Eqs. (5.1) and (5.2)
  • 5.4 Counter-Examples
  • 6 Solution to the Ulam Stability Problem of Multiplicative Inverse Type Unvigintic and Duovigintic Functional Equations in Paranormed Spaces
  • 6.1 Introduction
  • 6.2 Preliminaries
  • 6.3 Stability of (6.1): Direct Method
  • 6.4 Stability of (6.2): Direct Method
  • 6.5 Stability of (6.1): Fixed Point Method

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