Stability of Some Advanced Functional Equations in Various Spaces

Dutta, Hemen, Govindan, Vediyappan, Park, Choonkil

  • 出版商: Springer
  • 出版日期: 2024-08-17
  • 售價: $7,050
  • 貴賓價: 9.5$6,698
  • 語言: 英文
  • 頁數: 252
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031337069
  • ISBN-13: 9783031337062
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

The book aims to present several new results concerning solution and various stabilities of some functional equations in various spaces. The chapters consider various spaces to investigate stabilities justifying that stability results hold well in those spaces. It also includes results proving new insight to analyze approximate solutions to a given equation whenever uncertainty occurs. The presentation of the book should be useful for graduated students and researchers interested in the theory of functional equations to understand the useful ideas involved and problems to study further.

商品描述(中文翻譯)

本書旨在呈現有關某些函數方程在不同空間中解及各種穩定性的幾個新結果。各章節考慮不同的空間,以探討穩定性,證明穩定性結果在這些空間中是有效的。書中還包括結果,提供新的見解,以分析在不確定性發生時對給定方程的近似解進行研究。本書的呈現應對於研究生和對函數方程理論感興趣的研究人員有所幫助,幫助他們理解相關的有用概念及進一步研究的問題。

作者簡介

Hemen Dutta received his M.Sc., M.Phil. and Ph.D. all in Mathematics and also completed Post Graduate Diploma in Computer Application. His research interests include nonlinear analysis, mathematical modeling, functional equations and summability theory. He is a regular and a guest-editor of several SCI/SCIE indexed journals. He has also published several thematic issues in leading journals. He has to his credit over 200 publications as research articles, proceedings papers and chapters in books. He has also authored and edited several books published by leading publishers. He has organized many academic events and served as a speaker in various national and international events. He is a regular faculty member in the Department of Mathematics at Gauhati University, India.

Vediyappan Govindan obtained his M.Phil. and Ph.D. both in Mathematics from Periyar University, India. He began his teaching career as an assistant professor of mathematics at Sri Ganesh College of Arts andScience, Salem, under Periyar University from 2008 and 2009. During 2009 to 2020, he worked as an assistant professor of mathematics at Sri Vidya Mandir Arts and Science College, Uthangarai, under Periyar University. He received the Best Teacher Award in 2016 and 2019, respectively, from Sri Vidya Mandir Arts and Science College, Uthangarai, under Periyar University. He also received Young Scientist Award in 2019 from Sri Vidya Mandir Arts and Science College, Uthangarai, under Periyar University. His research interests include functional equations, neural networks and differential equations. He has to his credit more than 73 research articles in various Scopus and SCI indexed journals. Currently, he is working as a lecturer-I at DMI St. John the Baptist University, Mangochi, Malawi, Central Africa.

Choonkil Park has accomplished his doctoral degree in Mathematics from the University of Maryland, USA, and is currently working as a professor at Hanyang University, South Korea. He is working for several journals as an associate editor and a chief-editor of one journal. His main research topics include operator algebras, functional inequalities, functional equations, non-commutative geometry, fixed-point theory and fuzzy mappings. He has published a number of academic articles in international journals related to operator algebras, functional inequalities, functional equations, non-commutative geometry, fixed-point theory and fuzzy mappings. Within the last twenty years, he has successfully published more than 550 articles in SCIE journals.

R. Vadivel received his B. Sc., M.Sc., M.Phil. Degrees in Mathematics from Sri Ramakrishna Mission Vidyalaya College of Arts and Science affiliated to Bharathiar University, Tamil Nadu, India, and Ph.D. in Mathematics from the Department of Mathematics, Thiruvalluvar University, India. He was a post-doctoral research fellow at the Research Center for Wind Energy Systems, Kunsan National University, Gunsan, South Korea, from 2018 to 2019. Currently, he is working as a lecturer in the Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Thailand.

作者簡介(中文翻譯)

Hemen Dutta 獲得了數學的碩士、哲學碩士及博士學位,並完成了計算機應用的研究生文憑。他的研究興趣包括非線性分析、數學建模、函數方程及可求和理論。他是多本 SCI/SCIE 索引期刊的常任及客座編輯,並在多個領先期刊上發表了數個專題期刊。他的研究文章、會議論文及書籍章節的出版數量超過 200 篇。他還撰寫和編輯了多本由知名出版社出版的書籍。他組織了許多學術活動,並在各種國內外活動中擔任演講者。他目前是印度高哈提大學數學系的常任教員。

Vediyappan Govindan 獲得了印度佩里亞大學的數學哲學碩士及博士學位。他於 2008 年和 2009 年開始在佩里亞大學的 Sri Ganesh College of Arts and Science 擔任數學助理教授。2009 年至 2020 年期間,他在佩里亞大學的 Sri Vidya Mandir Arts and Science College 擔任數學助理教授。他於 2016 年和 2019 年分別獲得 Sri Vidya Mandir Arts and Science College 的最佳教師獎,並於 2019 年獲得該校的青年科學家獎。他的研究興趣包括函數方程、神經網絡及微分方程。他在各種 Scopus 和 SCI 索引期刊上發表了超過 73 篇研究文章。目前,他在馬拉維中央非洲的 DMI St. John the Baptist University 擔任講師。

Choonkil Park 獲得美國馬里蘭大學的數學博士學位,目前在南韓的漢陽大學擔任教授。他擔任多本期刊的副編輯及一個期刊的主編。他的主要研究主題包括算子代數、函數不等式、函數方程、非交換幾何、固定點理論及模糊映射。他在與算子代數、函數不等式、函數方程、非交換幾何、固定點理論及模糊映射相關的國際期刊上發表了多篇學術文章。在過去的二十年中,他成功地在 SCIE 期刊上發表了超過 550 篇文章。

R. Vadivel 獲得了印度泰米爾納德邦 Bharathiar University 附屬的 Sri Ramakrishna Mission Vidyalaya College of Arts and Science 的數學學士、碩士及哲學碩士學位,並在印度 Thiruvalluvar University 的數學系獲得博士學位。他曾於 2018 年至 2019 年在南韓群山的 Kunsan National University 風能系統研究中心擔任博士後研究員。目前,他在泰國普吉拉查帕特大學的科學與技術學院數學系擔任講師。