Integral inequalities and applications:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Dordrecht u.a.
Kluwer Acad. Publ.
1992
|
| Schriftenreihe: | Mathematics and its applications / East European series
57 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003707167&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Aus d. Bulg. übers. |
| Umfang: | XI, 245 S. |
| ISBN: | 0792317149 |
Internformat
MARC
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| 245 | 1 | 0 | |a Integral inequalities and applications |c by Drumi Bainov and Pavel Simeonov |
| 264 | 1 | |a Dordrecht u.a. |b Kluwer Acad. Publ. |c 1992 | |
| 300 | |a XI, 245 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Mathematics and its applications / East European series |v 57 | |
| 500 | |a Aus d. Bulg. übers. | ||
| 650 | 4 | |a Inégalités intégrales | |
| 650 | 7 | |a Inégalités intégrales |2 ram | |
| 650 | 4 | |a Integral inequalities | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Series Editor s Preface v
Preface ix
Notation xi
Chapter I. Scalar linear integral inequalities 1
1. Gronwall type inequalities 1
2. Inequalities of the type of Chu and Metcalf 13
3. Applications 16
3.1. Uniqueness of the solution 17
3.2. Differentiability of the solution 17
3.3. Estimate for the Cauchy matrix of a perturbed linear equation 18
3.4. Stability of a perturbed linear equation 19
3.5. Exponential and ordinary dichotomy. Asymptotic equivalence of linear
equations 20
3.6. Stability of the centre manifold 24
Chapter I: notes and comments 27
Chapter II. Scalar nonlinear integral inequalities 29
4. Integral inequalities investigated by nonstandard methods 29
5. Bihari type inequalities 40
6. Comparison results 53
7. Lakshmikantham s comparison method 59
8. Inequalities of the type of Deo and Dhongade 67
9. Applications 76
9.1. Two sided estimates 76
9.2. Global existence 78
9.3. Terminal value problem 80
9.4. Stability by linear transformation 81
9.5. Perturbed nonlinear equations 85
viii CONTENTS
Chapter II: notes and comments 87
Chapter III. Analogues of Gronwall s inequality 89
10. Integral inequalities involving several integrals 89
11. Integral inequalities with iterated integrals 98
12. Integral inequalities for functions of TV variables 109
13. Integro differential inequalities 133
14. Integral inequalities with delay 142
15. Discrete inequalities 157
16. Impulse integral inequalities 181
17. Inequalities involving Stieltjes integrals 191
18. Systems of integral inequalities 196
19. Inequalities in partially ordered spaces 201
20. Applications 211
20.1. Asymptotic behaviour of solutions 211
20.2. Integro differential equations 213
20.3. Partial differential equations 214
20.4. Functional differential equations 216
20.5. Difference equations 218
20.6. Impulse equations 223
Chapter III: notes and comments 227
Bibliography 229
Author Index 243
Subject Index 245
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV005920153 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T08:40:08Z |
| institution | BVB |
| isbn | 0792317149 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003707167 |
| oclc_num | 25549199 |
| open_access_boolean | |
| owner | DE-12 DE-739 DE-703 DE-634 DE-83 DE-11 |
| owner_facet | DE-12 DE-739 DE-703 DE-634 DE-83 DE-11 |
| physical | XI, 245 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Kluwer Acad. Publ. |
| record_format | marc |
| series2 | Mathematics and its applications / East European series |
| spellingShingle | Bainov, Drumi D. Simeonov, Pavel S. Integral inequalities and applications Inégalités intégrales Inégalités intégrales ram Integral inequalities Integralungleichung (DE-588)4161917-1 gnd |
| subject_GND | (DE-588)4161917-1 |
| title | Integral inequalities and applications |
| title_auth | Integral inequalities and applications |
| title_exact_search | Integral inequalities and applications |
| title_full | Integral inequalities and applications by Drumi Bainov and Pavel Simeonov |
| title_fullStr | Integral inequalities and applications by Drumi Bainov and Pavel Simeonov |
| title_full_unstemmed | Integral inequalities and applications by Drumi Bainov and Pavel Simeonov |
| title_short | Integral inequalities and applications |
| title_sort | integral inequalities and applications |
| topic | Inégalités intégrales Inégalités intégrales ram Integral inequalities Integralungleichung (DE-588)4161917-1 gnd |
| topic_facet | Inégalités intégrales Integral inequalities Integralungleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003707167&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000006709 |
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