عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
شابک
شابک
9781461217909
شابک
9781461272847
شماره کتابشناسی ملی
شماره
b402818
عنوان و نام پديدآور
عنوان اصلي
Stability of Functional Equations in Several Variables
نام عام مواد
[Book]
نام نخستين پديدآور
by Donald H. Hyers, George Isac, Themistocles M. Rassias.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Boston, MA :
نام ناشر، پخش کننده و غيره
Imprint: Birkhäuser,
تاریخ نشرو بخش و غیره
1998.
فروست
عنوان فروست
Progress in Nonlinear Differential Equations and Their Applications ;
مشخصه جلد
34
یادداشتهای مربوط به مندرجات
متن يادداشت
Prologue -- 1. Introduction -- 2. Approximately Additive and Approximately Linear Mappings -- 3. Stability of the Quadratic Functional Equation -- 4. Generalizations. The Method of Invariant Means -- 5. Approximately Multiplicative Mappings. Superstability -- 6. The Stability of Functional Equations for Trigonometric and Similar Functions -- 7. Functions with Bounded nth Differences -- 8. Approximately Convex Functions -- 9. Stability of the Generalized Orthogonality Functional Equation -- 10. Stability and Set-Valued Functions -- 11. Stability of Stationary and Minimum Points -- 12. Functional Congruences -- 13. Quasi-Additive Functions and Related Topics -- References.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial solution in 1941. The subject has been revised and de veloped by an increasing number of mathematicians, particularly during the last two decades. Three survey articles have been written on the subject by D. H. Hyers (1983), D. H. Hyers and Th. M. Rassias (1992), and most recently by G. L. Forti (1995). None of these works included proofs of the results which were discussed. Furthermore, it should be mentioned that wider interest in this subject area has increased substantially over the last years, yet the pre sentation of research has been confined mainly to journal articles. The time seems ripe for a comprehensive introduction to this subject, which is the purpose of the present work. This book is the first to cover the classical results along with current research in the subject. An attempt has been made to present the material in an integrated and self-contained fashion. In addition to the main topic of the stability of certain functional equa tions, some other related problems are discussed, including the stability of the convex functional inequality and the stability of minimum points. A sad note. During the final stages of the manuscript our beloved co author and friend Professor Donald H. Hyers passed away.
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9781461272847
قطعه
عنوان
Springer eBooks
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Differentiable dynamical systems.
موضوع مستند نشده
Functional analysis.
موضوع مستند نشده
Global analysis (Mathematics).
موضوع مستند نشده
Mathematics.
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
مستند نام اشخاص تاييد نشده
Hyers, Donald H.
نام شخص - (مسئولیت معنوی برابر )
مستند نام اشخاص تاييد نشده
Isac, George.
مستند نام اشخاص تاييد نشده
Rassias, Themistocles M.
نام تنالگان _ (مسئولیت معنوی برابر)
مستند نام تنالگان تاييد نشده
SpringerLink (Online service)
مبدا اصلی
تاريخ عمليات
20190307162300.0
دسترسی و محل الکترونیکی
نام الکترونيکي
مطالعه متن کتاب اطلاعات رکورد کتابشناسی
نوع ماده
[Book]
اطلاعات دسترسی رکورد
تكميل شده
Y
