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Ulam stability of operators

Brzdȩk, Janusz,

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Ulam stability of operators

Record Type:	Electronic resources : Monograph/item
Title/Author:	Ulam stability of operators/ authors, Janusz Brzdȩk, Dorian Popa, Ioan Raşa, Bing Xu.
Author:	Brzdȩk, Janusz,
other author:	Popa, Dorian,
Published:	London, United Kingdom :Academic Press, : 2018.,
Description:	1 online resource.
[NT 15003449]:	Front Cover; Ulam Stability of Operators; Copyright; Dedication; Contents; Acknowledgment; Preface; About the Authors; CHAPTER 1: Introduction to Ulam stability theory; 1. Historical background; 2. Stability of additive mapping; 3. Approximate isometries; 4. Other functional equations and inequalities in several variables; 5. Stability of functional equations in a single variable; 6. Iterative stability; 7. Differential and integral equations; 8. Superstability and hyperstability; 9. Composite type equations; 10. Nonstability; References
[NT 15003449]:	CHAPTER 2: Ulam stability of operators in normed spaces1. Introduction; 2. Ulam stability with respect to gauges; 3. Closed operators; 4. Some differential operators on bounded intervals; 5. Stability of the linear differential operator with respect to different norms; 6. Some classical operators from the approximation theory; References; CHAPTER 3: Ulam stability of differential operators; 1. Introduction; 2. Linear differential equation of the first order; 3. Linear differential equation of a higher order with constant coefficients; 4. First-order linear differential operator
[NT 15003449]:	5. Higher-order linear differential operator6. Partial differential equations; 7. Laplace operator; References; CHAPTER 4: Best constant in Ulam stability; 1. Introduction; 2. Best constant for Cauchy, Jensen, and Quadratic functional equations; 3. Best constant for linear operators; 4. Ulam stability of operators with respect to different norms; References; CHAPTER 5: Ulam stability of operators of polynomial form; 1. Introduction; 2. Auxiliary results; 3. A general stability theorem; 4. Complementary results for the second-order equations
[NT 15003449]:	5. Linear difference equation with constant coefficients6. Difference equation with a matrix coefficient; 7. Linear functional equations with constant coefficients; 8. Linear differential equations; 9. Integral equations; References; CHAPTER 6: Nonstability theory; 1. Preliminary information; 2. Possible definitions of nonstability; 3. Linear difference equation of the first order; 4. Linear difference equation of a higher order; 5. Linear functional equation of the first order; 6. Linear functional equation of a higher order; References; Index; Back Cover
Subject:	Functional equations. -
Online resource:	https://www.sciencedirect.com/science/book/9780128098295
ISBN:	9780128098301 (electronic bk.)

Ulam stability of operators
Brzdȩk, Janusz,

Ulam stability of operators[electronic resource] /authors, Janusz Brzdȩk, Dorian Popa, Ioan Raşa, Bing Xu. - London, United Kingdom :Academic Press,2018. - 1 online resource. - Mathematical analysis and its applications. - Mathematical analysis and its applications..

Includes bibliographical references and index.

Front Cover; Ulam Stability of Operators; Copyright; Dedication; Contents; Acknowledgment; Preface; About the Authors; CHAPTER 1: Introduction to Ulam stability theory; 1. Historical background; 2. Stability of additive mapping; 3. Approximate isometries; 4. Other functional equations and inequalities in several variables; 5. Stability of functional equations in a single variable; 6. Iterative stability; 7. Differential and integral equations; 8. Superstability and hyperstability; 9. Composite type equations; 10. Nonstability; References

Ulam Stability of Operators presents a modern, unified, and systematic approach to the field. Focusing on the stability of functional equations across single variable, difference equations, differential equations, and integral equations, the book collects, compares, unifies, complements, generalizes, and updates key results. Whenever suitable, open problems are stated in corresponding areas. The book is of interest to researchers in operator theory, difference and functional equations and inequalities, differential and integral equations.

ISBN: 9780128098301 (electronic bk.)Subjects--Topical Terms:

576213
Functional equations.
Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA431

Dewey Class. No.: 515/.45

Ulam stability of operators
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245 1 0 $a Ulam stability of operators $h [electronic resource] / $c authors, Janusz Brzdȩk, Dorian Popa, Ioan Raşa, Bing Xu.
260 $a London, United Kingdom : $b Academic Press, $c 2018.
300 $a 1 online resource.
490 1 $a Mathematical analysis and its applications
504 $a Includes bibliographical references and index.
505 0 $a Front Cover; Ulam Stability of Operators; Copyright; Dedication; Contents; Acknowledgment; Preface; About the Authors; CHAPTER 1: Introduction to Ulam stability theory; 1. Historical background; 2. Stability of additive mapping; 3. Approximate isometries; 4. Other functional equations and inequalities in several variables; 5. Stability of functional equations in a single variable; 6. Iterative stability; 7. Differential and integral equations; 8. Superstability and hyperstability; 9. Composite type equations; 10. Nonstability; References
505 8 $a CHAPTER 2: Ulam stability of operators in normed spaces1. Introduction; 2. Ulam stability with respect to gauges; 3. Closed operators; 4. Some differential operators on bounded intervals; 5. Stability of the linear differential operator with respect to different norms; 6. Some classical operators from the approximation theory; References; CHAPTER 3: Ulam stability of differential operators; 1. Introduction; 2. Linear differential equation of the first order; 3. Linear differential equation of a higher order with constant coefficients; 4. First-order linear differential operator
505 8 $a 5. Higher-order linear differential operator6. Partial differential equations; 7. Laplace operator; References; CHAPTER 4: Best constant in Ulam stability; 1. Introduction; 2. Best constant for Cauchy, Jensen, and Quadratic functional equations; 3. Best constant for linear operators; 4. Ulam stability of operators with respect to different norms; References; CHAPTER 5: Ulam stability of operators of polynomial form; 1. Introduction; 2. Auxiliary results; 3. A general stability theorem; 4. Complementary results for the second-order equations
505 8 $a 5. Linear difference equation with constant coefficients6. Difference equation with a matrix coefficient; 7. Linear functional equations with constant coefficients; 8. Linear differential equations; 9. Integral equations; References; CHAPTER 6: Nonstability theory; 1. Preliminary information; 2. Possible definitions of nonstability; 3. Linear difference equation of the first order; 4. Linear difference equation of a higher order; 5. Linear functional equation of the first order; 6. Linear functional equation of a higher order; References; Index; Back Cover
520 $a Ulam Stability of Operators presents a modern, unified, and systematic approach to the field. Focusing on the stability of functional equations across single variable, difference equations, differential equations, and integral equations, the book collects, compares, unifies, complements, generalizes, and updates key results. Whenever suitable, open problems are stated in corresponding areas. The book is of interest to researchers in operator theory, difference and functional equations and inequalities, differential and integral equations.
588 0 $a Vendor-supplied metadata.
650 0 $a Functional equations. $3 576213
655 4 $a Electronic books. $2 lcsh $3 542853
700 1 $a Popa, Dorian, $e author. $3 3463215
700 1 $a Raşa Ioan, $e author. $3 3463216
700 1 $a Xu, Bing, $e author. $3 3463217
830 0 $a Mathematical analysis and its applications. $3 3463218
856 4 0 $u https://www.sciencedirect.com/science/book/9780128098295