Nonlinear integral equations in abstract spaces:
Gespeichert in:
Hauptverfasser: | , , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1996
|
Schriftenreihe: | Mathematics and its applications
373 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | VIII, 341 S. |
ISBN: | 0792341449 |
Internformat
MARC
LEADER | 00000nam a2200000 cb4500 | ||
---|---|---|---|
001 | BV011054806 | ||
003 | DE-604 | ||
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035 | |a (OCoLC)34912833 | ||
035 | |a (DE-599)BVBBV011054806 | ||
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041 | 0 | |a eng | |
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084 | |a SK 640 |0 (DE-625)143250: |2 rvk | ||
100 | 1 | |a Guo, Dajun |e Verfasser |4 aut | |
245 | 1 | 0 | |a Nonlinear integral equations in abstract spaces |c by Dajun Guo ; V. Lakshmikantham and Xinzhi Liu |
264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1996 | |
300 | |a VIII, 341 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Mathematics and its applications |v 373 | |
650 | 4 | |a Banach spaces | |
650 | 4 | |a Nonlinear integral equations | |
650 | 0 | 7 | |a Banach-Raum |0 (DE-588)4004402-6 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Nichtlineare Integralgleichung |0 (DE-588)4240925-1 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Nichtlineare Integralgleichung |0 (DE-588)4240925-1 |D s |
689 | 0 | 1 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
689 | 0 | |5 DE-604 | |
700 | 1 | |a Lakshmikantham, Vangipuram |d 1926- |e Verfasser |0 (DE-588)104268050 |4 aut | |
700 | 1 | |a Liu, Xinzhi |e Verfasser |4 aut | |
830 | 0 | |a Mathematics and its applications |v 373 |w (DE-604)BV008163334 |9 373 | |
856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007402853&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
999 | |a oai:aleph.bib-bvb.de:BVB01-007402853 |
Datensatz im Suchindex
_version_ | 1804125542785482752 |
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adam_text | CONTENTS
PREFACE vii
1 PRELIMINARIES 1
1.0 Introduction 1
1.1 Mean Value Theorems 2
1.2 Measure of Noncompactness and Some Fixed Point Theo¬
rems 9
1.3 Comparison Theorem for Volterra Integral Equations 26
1.4 Linear Integral Equations in Banach Spaces 33
1.5 Relations between Differential Equations and Integral Equa¬
tions in Banach Spaces 43
1.6 Notes and Comments 51
2 NONLINEAR INTEGRAL EQUATIONS IN
BANACH SPACES 53
2.0 Introduction 53
2.1 Equations of Fredholm Type 54
2.2 Equations of Volterra Type 91
2.3 Equations of Hammerstein Type 141
2.4 An Equation Modeling Infectious Disease 161
2.5 Notes and Comments 171
3 NONLINEAR INTEGRO DIFFERENTIAL
EQUATIONS IN BANACH SPACES 173
3.0 Introduction 173
3.1 First Order Integro Differential Equations 174
3.2 Second Order Integro Differential Equations 196
v
vi NONLINEAR INTEGRAL EQUATIONS
3.3 Integro Differential Equations on Unbounded Domains 233
3.4 Notes and Comments 239
4 NONLINEAR IMPULSIVE INTEGRAL
EQUATIONS IN BANACH SPACES 241
4.0 Introduction 241
4.1 Impulsive Equations of Volterra Type 242
4.2 Impulsive Equations of Fredholm Type 265
4.3 Impulsive Integro Differential Equations 275
4.4 Notes and Comments 331
REFERENCES 333
|
any_adam_object | 1 |
author | Guo, Dajun Lakshmikantham, Vangipuram 1926- Liu, Xinzhi |
author_GND | (DE-588)104268050 |
author_facet | Guo, Dajun Lakshmikantham, Vangipuram 1926- Liu, Xinzhi |
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building | Verbundindex |
bvnumber | BV011054806 |
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callnumber-raw | QA431 |
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classification_rvk | SK 640 |
ctrlnum | (OCoLC)34912833 (DE-599)BVBBV011054806 |
dewey-full | 515/.45 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.45 |
dewey-search | 515/.45 |
dewey-sort | 3515 245 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV011054806 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T18:03:13Z |
institution | BVB |
isbn | 0792341449 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007402853 |
oclc_num | 34912833 |
open_access_boolean | |
owner | DE-12 DE-19 DE-BY-UBM DE-703 DE-11 |
owner_facet | DE-12 DE-19 DE-BY-UBM DE-703 DE-11 |
physical | VIII, 341 S. |
publishDate | 1996 |
publishDateSearch | 1996 |
publishDateSort | 1996 |
publisher | Kluwer |
record_format | marc |
series | Mathematics and its applications |
series2 | Mathematics and its applications |
spelling | Guo, Dajun Verfasser aut Nonlinear integral equations in abstract spaces by Dajun Guo ; V. Lakshmikantham and Xinzhi Liu Dordrecht [u.a.] Kluwer 1996 VIII, 341 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 373 Banach spaces Nonlinear integral equations Banach-Raum (DE-588)4004402-6 gnd rswk-swf Nichtlineare Integralgleichung (DE-588)4240925-1 gnd rswk-swf Nichtlineare Integralgleichung (DE-588)4240925-1 s Banach-Raum (DE-588)4004402-6 s DE-604 Lakshmikantham, Vangipuram 1926- Verfasser (DE-588)104268050 aut Liu, Xinzhi Verfasser aut Mathematics and its applications 373 (DE-604)BV008163334 373 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007402853&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Guo, Dajun Lakshmikantham, Vangipuram 1926- Liu, Xinzhi Nonlinear integral equations in abstract spaces Mathematics and its applications Banach spaces Nonlinear integral equations Banach-Raum (DE-588)4004402-6 gnd Nichtlineare Integralgleichung (DE-588)4240925-1 gnd |
subject_GND | (DE-588)4004402-6 (DE-588)4240925-1 |
title | Nonlinear integral equations in abstract spaces |
title_auth | Nonlinear integral equations in abstract spaces |
title_exact_search | Nonlinear integral equations in abstract spaces |
title_full | Nonlinear integral equations in abstract spaces by Dajun Guo ; V. Lakshmikantham and Xinzhi Liu |
title_fullStr | Nonlinear integral equations in abstract spaces by Dajun Guo ; V. Lakshmikantham and Xinzhi Liu |
title_full_unstemmed | Nonlinear integral equations in abstract spaces by Dajun Guo ; V. Lakshmikantham and Xinzhi Liu |
title_short | Nonlinear integral equations in abstract spaces |
title_sort | nonlinear integral equations in abstract spaces |
topic | Banach spaces Nonlinear integral equations Banach-Raum (DE-588)4004402-6 gnd Nichtlineare Integralgleichung (DE-588)4240925-1 gnd |
topic_facet | Banach spaces Nonlinear integral equations Banach-Raum Nichtlineare Integralgleichung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007402853&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV008163334 |
work_keys_str_mv | AT guodajun nonlinearintegralequationsinabstractspaces AT lakshmikanthamvangipuram nonlinearintegralequationsinabstractspaces AT liuxinzhi nonlinearintegralequationsinabstractspaces |