Stability of Functional Equations in Several Variables:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1998
|
| Schriftenreihe: | Progress in Nonlinear Differential Equations and Their Applications
34 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4612-1790-9 |
| 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 |
| Umfang: | 1 Online-Ressource (VII, 318 p) |
| ISBN: | 9781461217909 9781461272847 |
| DOI: | 10.1007/978-1-4612-1790-9 |
Internformat
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042419917 | ||
| 003 | DE-604 | ||
| 005 | 20210526 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1998 xx o|||| 00||| eng d | ||
| 020 | |a 9781461217909 |c Online |9 978-1-4612-1790-9 | ||
| 020 | |a 9781461272847 |c Print |9 978-1-4612-7284-7 | ||
| 024 | 7 | |a 10.1007/978-1-4612-1790-9 |2 doi | |
| 035 | |a (OCoLC)869855200 | ||
| 035 | |a (DE-599)BVBBV042419917 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 515.7 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Hyers, Donald H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Stability of Functional Equations in Several Variables |c by Donald H. Hyers, George Isac, Themistocles M. Rassias |
| 264 | 1 | |a Boston, MA |b Birkhäuser Boston |c 1998 | |
| 300 | |a 1 Online-Ressource (VII, 318 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 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 | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Functional Analysis | |
| 650 | 4 | |a Analysis | |
| 650 | 4 | |a Dynamical Systems and Ergodic Theory | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Funktionalgleichung |0 (DE-588)4018923-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Stabilität |0 (DE-588)4056693-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mehrere reelle Variable |0 (DE-588)4202599-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Funktionalgleichung |0 (DE-588)4018923-5 |D s |
| 689 | 0 | 1 | |a Mehrere reelle Variable |0 (DE-588)4202599-0 |D s |
| 689 | 0 | 2 | |a Stabilität |0 (DE-588)4056693-6 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Isac, George |e Sonstige |4 oth | |
| 700 | 1 | |a Rassias, Themistocles M. |e Sonstige |4 oth | |
| 830 | 0 | |a Progress in Nonlinear Differential Equations and Their Applications |v 34 |w (DE-604)BV036582883 |9 34 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4612-1790-9 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027855334 | |
Datensatz im Suchindex
| DE-BY-TUM_katkey | 2066926 |
|---|---|
| _version_ | 1821931187557367808 |
| any_adam_object | |
| 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 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)869855200 (DE-599)BVBBV042419917 |
| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1790-9 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03725nam a2200601zcb4500</leader><controlfield tag="001">BV042419917</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210526 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1998 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461217909</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4612-1790-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461272847</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4612-7284-7</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4612-1790-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)869855200</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042419917</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.7</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hyers, Donald H.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Stability of Functional Equations in Several Variables</subfield><subfield code="c">by Donald H. Hyers, George Isac, Themistocles M. Rassias</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston, MA</subfield><subfield code="b">Birkhäuser Boston</subfield><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (VII, 318 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Progress in Nonlinear Differential Equations and Their Applications</subfield><subfield code="v">34</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global analysis (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differentiable dynamical systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamical Systems and Ergodic Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionalgleichung</subfield><subfield code="0">(DE-588)4018923-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stabilität</subfield><subfield code="0">(DE-588)4056693-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mehrere reelle Variable</subfield><subfield code="0">(DE-588)4202599-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Funktionalgleichung</subfield><subfield code="0">(DE-588)4018923-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mehrere reelle Variable</subfield><subfield code="0">(DE-588)4202599-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Stabilität</subfield><subfield code="0">(DE-588)4056693-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Isac, George</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rassias, Themistocles M.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Progress in Nonlinear Differential Equations and Their Applications</subfield><subfield code="v">34</subfield><subfield code="w">(DE-604)BV036582883</subfield><subfield code="9">34</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4612-1790-9</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027855334</subfield></datafield></record></collection> |
| id | DE-604.BV042419917 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:41Z |
| institution | BVB |
| isbn | 9781461217909 9781461272847 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855334 |
| oclc_num | 869855200 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (VII, 318 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| series | Progress in Nonlinear Differential Equations and Their Applications |
| series2 | Progress in Nonlinear Differential Equations and Their Applications |
| 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 |
| work_keys_str_mv | AT hyersdonaldh stabilityoffunctionalequationsinseveralvariables AT isacgeorge stabilityoffunctionalequationsinseveralvariables AT rassiasthemistoclesm stabilityoffunctionalequationsinseveralvariables |