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Studies in Systems, Decision and Control

Multiplicative Inverse Functional Equations

Theory and Applications

Authors: Senthil Kumar, B. V., Dutta, Hemen

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  • Provides new concepts on multiplicative inverse functional equations
  • Includes many applications of various multiplicative inverse functional equations in electric circuit theory, physics, and relations connecting the harmonic mean and arithmetic mean of several values
  • Introduces readers to numerous multiplicative inverse functional equations and their stability results in various spaces 
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About this book

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. In particular, multiplicative inverse functional equations have applications in electric circuit theory, physics, and relations connecting the harmonic mean and arithmetic mean of several values. Providing a wealth of essential insights and new concepts in the field of functional equations, the book is chiefly intended for researchers, graduate schools, graduate students, and educators, and can also used for seminars in analysis covering topics of functional equations. 

About the authors

Dr. B. V. Senthil Kumar works at the Department of Information Technology, Nizwa College of Technology, Nizwa, Oman. His areas of interest include the solution and stability of functional, differential and difference equations, operations research, statistics and discrete mathematical structures. Having obtained his Ph.D. in 2015, he has more than 20 years of teaching and 10 years of research experience. He has published more than 50 research papers in respected national and international journals; co-authored three books; and contributed three book chapters. In addition, he is a member of various mathematical societies and serves as a reviewer or editorial committee member for several journals.
Dr. Hemen Dutta is a regular faculty member at the Department of Mathematics, Gauhati University, India. His research interests include mathematical analysis, mathematical modeling, etc. He has published over 100 research papers and book chapters, as well as 14 books, including textbooks, reference books, monographs, edited books and conference proceedings. He has also published several articles in newspapers, magazines and science portals.

Table of contents (7 chapters)

Table of contents (7 chapters)
  • Introduction to Functional Equations and Ulam Stability Theory

    Pages 1-20

    Senthil Kumar, B. V. (et al.)

  • Stability and Instability of Multiplicative Inverse Type Tredecic and Quottuordecic Functional Equations in Non-archimedean Spaces

    Pages 21-31

    Senthil Kumar, B. V. (et al.)

  • Estimation of Inexact Multiplicative Inverse Type Quindecic and Sexdecic Functional Equations in Felbin’s Type Fuzzy Normed Spaces

    Pages 33-44

    Senthil Kumar, B. V. (et al.)

  • Classical Approximations of Multiplicative Inverse Type Septendecic and Octadecic Functional Equations in Quasi-$$\beta $$-normed Spaces

    Pages 45-55

    Senthil Kumar, B. V. (et al.)

  • Ulam Stabilities of Multiplicative Inverse Type Novemdecic and Vigintic Functional Equations in Intuitionistic Fuzzy Normed Spaces

    Pages 57-73

    Senthil Kumar, B. V. (et al.)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-030-45355-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-030-45354-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Multiplicative Inverse Functional Equations
Book Subtitle
Theory and Applications
Authors
Series Title
Studies in Systems, Decision and Control
Series Volume
289
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-45355-8
DOI
10.1007/978-3-030-45355-8
Hardcover ISBN
978-3-030-45354-1
Series ISSN
2198-4182
Edition Number
1
Number of Pages
XI, 117
Number of Illustrations
6 b/w illustrations
Topics

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