Integral equations and applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge u.a.
Cambridge Univ. Press
1991
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 335 - 363 |
| Physical Description: | IX, 366 S. graph. Darst. |
| ISBN: | 0521340500 |
Staff View
MARC
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| 100 | 1 | |a Corduneanu, Constantin |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Integral equations and applications |c C. Corduneanu |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge u.a. |b Cambridge Univ. Press |c 1991 | |
| 300 | |a IX, 366 S. |b graph. Darst. | ||
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| 500 | |a Literaturverz. S. 335 - 363 | ||
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Record in the Search Index
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| adam_text | Contents
Preface vii
Introduction 1
1 Introduction to the theory of integral equations 13
1.1 Integral equations generated by problems in the theory of ordinary
differential equations 13
1.2 Integral equations occurring in the mathematical description of applied
problems 21
1.3 Basic problems for integral equations of Volterra type (elementary
approach) 30
1.4 Fredholm theory of linear integral equations with square summable
kernel 41
1.5 Nonlinear equations of Hammerstein type 56
Bibliographical notes 61
2 Function spaces, operators, fixed points and monotone
mappings 64
2.1 Spaces of continuous functions 64
2.2 Spaces of measurable functions 71
2.3 Operators on function spaces 77
2.4 Fixed point theorems; monotone operators 88
Bibliographical notes 92
3 Basic theory of Volterra equations: integral and abstract 95
31 Continuous solutions for Volterra integral equations 95
3.2 Abstract Volterra equations and some special cases 115
3.3 Linear Volterra equations; the resolvent and some applications 131
3.4 A singular perturbation approach to abstract Volterra equations 140
Bibliographical notes 148
v
vi Contents
4 Some special classes of integral and integrodifferential
equations 151
4.1 Hammerstein equations and admissibility technique 151
4.2 Some problems related to resolvent kernels and applications 161
4.3 Hammerstein equations on measure spaces 170
4.4 Ultimate behavior of solutions to certain Volterra
functional differential equations 180
4.5 Hammerstein integrodifferential equations and boundary value
problems 192
4.6 Periodic and almost periodic solutions to some integrodifferential
equations 203
4.7 Integral inclusions of Volterra Hammerstein type 212
Bibliographical notes 220
5 Integral equations in abstract spaces 222
5.1 Equations with bounded operators 223
5.2 Equations with unbounded operators in Hilbert spaces 229
5.3 The semigroup method for integrodifferential equations 235
5.4 A nonlinear Volterra equation and the associated semigroup of 245
operators
5.5 Global existence for a nonlinear integrodifferential equation in Hilbert
space 261
Bibliographical notes 271
6 Some applications of integral and integrodifferential equations 273
6.1 An integrodifferential equation describing coagulation processes 273
6.2 Optimal control processes governed by Volterra integral equations 284
6.3 Stability of nuclear reactors (A) 298
6.4 Stability of nuclear reactors (B) 324
Bibliographical notes 333
References 335
Index 365
|
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| author_facet | Corduneanu, Constantin |
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| dewey-search | 515/.45 20 515/.45 |
| dewey-sort | 3515 245 220 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV004417114 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:12:46Z |
| institution | BVB |
| isbn | 0521340500 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002740792 |
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| physical | IX, 366 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
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| publisher | Cambridge Univ. Press |
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| spelling | Corduneanu, Constantin Verfasser aut Integral equations and applications C. Corduneanu 1. publ. Cambridge u.a. Cambridge Univ. Press 1991 IX, 366 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 335 - 363 Integraalvergelijkingen gtt Integral equations Integralgleichung (DE-588)4027229-1 gnd rswk-swf Integralgleichung (DE-588)4027229-1 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002740792&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Corduneanu, Constantin Integral equations and applications Integraalvergelijkingen gtt Integral equations Integralgleichung (DE-588)4027229-1 gnd |
| subject_GND | (DE-588)4027229-1 |
| title | Integral equations and applications |
| title_auth | Integral equations and applications |
| title_exact_search | Integral equations and applications |
| title_full | Integral equations and applications C. Corduneanu |
| title_fullStr | Integral equations and applications C. Corduneanu |
| title_full_unstemmed | Integral equations and applications C. Corduneanu |
| title_short | Integral equations and applications |
| title_sort | integral equations and applications |
| topic | Integraalvergelijkingen gtt Integral equations Integralgleichung (DE-588)4027229-1 gnd |
| topic_facet | Integraalvergelijkingen Integral equations Integralgleichung |
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