Stability of Functional Equations in Several Variables:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1998
|
| Schriftenreihe: | Progress in Nonlinear Differential Equations and Their Applications
34 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 developed 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 presentation 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 equations, 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 coauthor and friend Professor Donald H. Hyers passed away |
| Beschreibung: | 1 Online-Ressource (VII, 318 p) |
| ISBN: | 9781461217909 9781461272847 |
| DOI: | 10.1007/978-1-4612-1790-9 |
Internformat
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| 490 | 1 | |a Progress in Nonlinear Differential Equations and Their Applications |v 34 | |
| 500 | |a 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 developed 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 presentation 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 equations, 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 coauthor and friend Professor Donald H. Hyers passed away | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Global analysis (Mathematics) | |
| 650 | 4 | |a Differentiable dynamical systems | |
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Datensatz im Suchindex
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| author | Hyers, Donald H. |
| author_facet | Hyers, Donald H. |
| author_role | aut |
| author_sort | Hyers, Donald H. |
| author_variant | d h h dh dhh |
| building | Verbundindex |
| bvnumber | BV042419917 |
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| collection | ZDB-2-SMA ZDB-2-BAE |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1790-9 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461217909 9781461272847 |
| language | English |
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| series | Progress in Nonlinear Differential Equations and Their Applications |
| series2 | Progress in Nonlinear Differential Equations and Their Applications |
| spelling | Hyers, Donald H. Verfasser aut Stability of Functional Equations in Several Variables by Donald H. Hyers, George Isac, Themistocles M. Rassias Boston, MA Birkhäuser Boston 1998 1 Online-Ressource (VII, 318 p) txt rdacontent c rdamedia cr rdacarrier Progress in Nonlinear Differential Equations and Their Applications 34 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 developed 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 presentation 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 equations, 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 coauthor and friend Professor Donald H. Hyers passed away Mathematics Global analysis (Mathematics) Differentiable dynamical systems Functional analysis Functional Analysis Analysis Dynamical Systems and Ergodic Theory Mathematik Funktionalgleichung (DE-588)4018923-5 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Mehrere reelle Variable (DE-588)4202599-0 gnd rswk-swf Funktionalgleichung (DE-588)4018923-5 s Mehrere reelle Variable (DE-588)4202599-0 s Stabilität (DE-588)4056693-6 s 1\p DE-604 Isac, George Sonstige oth Rassias, Themistocles M. Sonstige oth Progress in Nonlinear Differential Equations and Their Applications 34 (DE-604)BV036582883 34 https://doi.org/10.1007/978-1-4612-1790-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hyers, Donald H. Stability of Functional Equations in Several Variables Progress in Nonlinear Differential Equations and Their Applications Mathematics Global analysis (Mathematics) Differentiable dynamical systems Functional analysis Functional Analysis Analysis Dynamical Systems and Ergodic Theory Mathematik Funktionalgleichung (DE-588)4018923-5 gnd Stabilität (DE-588)4056693-6 gnd Mehrere reelle Variable (DE-588)4202599-0 gnd |
| subject_GND | (DE-588)4018923-5 (DE-588)4056693-6 (DE-588)4202599-0 |
| title | Stability of Functional Equations in Several Variables |
| title_auth | Stability of Functional Equations in Several Variables |
| title_exact_search | Stability of Functional Equations in Several Variables |
| title_full | Stability of Functional Equations in Several Variables by Donald H. Hyers, George Isac, Themistocles M. Rassias |
| title_fullStr | Stability of Functional Equations in Several Variables by Donald H. Hyers, George Isac, Themistocles M. Rassias |
| title_full_unstemmed | Stability of Functional Equations in Several Variables by Donald H. Hyers, George Isac, Themistocles M. Rassias |
| title_short | Stability of Functional Equations in Several Variables |
| title_sort | stability of functional equations in several variables |
| topic | Mathematics Global analysis (Mathematics) Differentiable dynamical systems Functional analysis Functional Analysis Analysis Dynamical Systems and Ergodic Theory Mathematik Funktionalgleichung (DE-588)4018923-5 gnd Stabilität (DE-588)4056693-6 gnd Mehrere reelle Variable (DE-588)4202599-0 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Differentiable dynamical systems Functional analysis Functional Analysis Analysis Dynamical Systems and Ergodic Theory Mathematik Funktionalgleichung Stabilität Mehrere reelle Variable |
| url | https://doi.org/10.1007/978-1-4612-1790-9 |
| volume_link | (DE-604)BV036582883 |
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