authors, Janusz Brzdęk, Dorian Popa, Ioan Raşa, Bing Xu.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
London, United Kingdom :
نام ناشر، پخش کننده و غيره
Academic Press,
تاریخ نشرو بخش و غیره
[2018]
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource.
فروست
عنوان فروست
Mathematical analysis and its applications
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
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
متن يادداشت
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
متن يادداشت
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
متن يادداشت
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
بدون عنوان
0
بدون عنوان
8
بدون عنوان
8
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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.
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Proquest Ebook Central
شماره انبار
5217415
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
0128098295
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Functional equations.
موضوع مستند نشده
Functional equations.
موضوع مستند نشده
MATHEMATICS / Calculus.
موضوع مستند نشده
MATHEMATICS / Mathematical Analysis.
مقوله موضوعی
موضوع مستند نشده
MAT-- 005000
موضوع مستند نشده
MAT-- 034000
رده بندی ديویی
شماره
515/
.
45
ويراست
23
رده بندی کنگره
شماره رده
QA431
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )