Multiplicative inverse functional equations : theory and applications

Multiplicative inverse functional equations : theory and applications / B.V. Senthil Kumar, Hemen Dutta.

This book introduces readers to numerous multiplicative inverse functional equations and their stability results in various spaces. This type of functional equation can be of use in solving many physical problems and also has significant relevance in various scientific fields of research and study....

Full description

Saved in:
Bibliographic Details
Main Author: Senthil Kumar, B. V.
Other Authors: Dutta, Hemen, 1981-
Format: eBook
Language:English
Published: Cham : Springer, 2020.
Series:Studies in systems, decision and control ; v. 289.
Subjects:
Functional equations.
Artificial intelligence.
Automatic control engineering.
Maths for engineers.
Technology & Engineering > Engineering (General)
Technology & Engineering > Automation.
Functional equations
Online Access:Click for online access
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

Similar Items