Oscillation theory of operator differential equations:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Singapore [u.a.]
World Scientific
1995
|
Schriftenreihe: | Series on Soviet & East European mathematics
10 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | X, 206 S. |
ISBN: | 9810211007 |
Internformat
MARC
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035 | |a (OCoLC)33980487 | ||
035 | |a (DE-599)BVBBV010992395 | ||
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100 | 1 | |a Bainov, Drumi D. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Oscillation theory of operator differential equations |c D. Bainov ; D. Mishev |
264 | 1 | |a Singapore [u.a.] |b World Scientific |c 1995 | |
300 | |a X, 206 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Series on Soviet & East European mathematics |v 10 | |
650 | 7 | |a Équations différentielles |2 ram | |
650 | 4 | |a Differential equations | |
650 | 4 | |a Operator equations | |
650 | 4 | |a Oscillations | |
650 | 0 | 7 | |a Schwingung |0 (DE-588)4053999-4 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Operatorgleichung |0 (DE-588)4043601-9 |2 gnd |9 rswk-swf |
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689 | 0 | 2 | |a Schwingung |0 (DE-588)4053999-4 |D s |
689 | 0 | |5 DE-604 | |
700 | 1 | |a Mišev, Dimităr P. |d 1952- |e Verfasser |0 (DE-588)124144330 |4 aut | |
830 | 0 | |a Series on Soviet & East European mathematics |v 10 |w (DE-604)BV007228526 |9 10 | |
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Datensatz im Suchindex
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adam_text | Contents
Preface v
Notation vii
Chapter 1 Introduction 1
1.1 Preliminary notes 1
1.2 Auxiliary assertions 2
Chapter 2 Nonoscillating Solutions of Operator Differential
Equations 7
2.1 Comparison theorems 7
2.2 Asymptotic properties 27
2.3 Decaying solutions 46
2.4 Existence of nonoscillating solutions 55
2.5 Notes and comments 67
Chapter 3 Oscillatory Properties of the Solutions of
Operator Differential Equations 69
3.1 Decaying solutions 69
3.2 Bounded oscillating solutions 78
3.3 Asymptotic properties of the oscillating solutions 89
3.4 Sufficient conditions for oscillation of the solutions of
nonhomogeneous equations 100
3.5 Sufficient conditions for oscillation of the solutions of equations
with piecewise constant argument 115
3.6 Notes and comments 123
ix
Chapter 4 Slow, Moderate and Quick Oscillations of
Operator Differential Equations 125
4.1 Slowly oscillating solutions 125
4.2 Moderately oscillating solutions 135
4.3 Quickly oscillating solutions 143
4.4 Notes and comments 152
Chapter 5 Asymptotic and Oscillatory Properties of
Operator Differential Equations of Neutral Type 153
5.1 Sufficient conditions for oscillation 153
5.2 Sufficient conditions for existence of bounded nonoscillating
solutions 163
5.3 Asymptotic properties of the nonoscillating solutions 180
5.4 Notes and comments 196
References 199
Index 205
x
|
any_adam_object | 1 |
author | Bainov, Drumi D. Mišev, Dimităr P. 1952- |
author_GND | (DE-588)124144330 |
author_facet | Bainov, Drumi D. Mišev, Dimităr P. 1952- |
author_role | aut aut |
author_sort | Bainov, Drumi D. |
author_variant | d d b dd ddb d p m dp dpm |
building | Verbundindex |
bvnumber | BV010992395 |
callnumber-first | Q - Science |
callnumber-label | QA865 |
callnumber-raw | QA865.B35 1995 |
callnumber-search | QA865.B35 1995 |
callnumber-sort | QA 3865 B35 41995 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 500 SK 520 |
ctrlnum | (OCoLC)33980487 (DE-599)BVBBV010992395 |
dewey-full | 515/.353 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.353 |
dewey-search | 515/.353 |
dewey-sort | 3515 3353 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV010992395 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T18:02:15Z |
institution | BVB |
isbn | 9810211007 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007357447 |
oclc_num | 33980487 |
open_access_boolean | |
owner | DE-12 DE-703 DE-11 DE-188 |
owner_facet | DE-12 DE-703 DE-11 DE-188 |
physical | X, 206 S. |
publishDate | 1995 |
publishDateSearch | 1995 |
publishDateSort | 1995 |
publisher | World Scientific |
record_format | marc |
series | Series on Soviet & East European mathematics |
series2 | Series on Soviet & East European mathematics |
spelling | Bainov, Drumi D. Verfasser aut Oscillation theory of operator differential equations D. Bainov ; D. Mishev Singapore [u.a.] World Scientific 1995 X, 206 S. txt rdacontent n rdamedia nc rdacarrier Series on Soviet & East European mathematics 10 Équations différentielles ram Differential equations Operator equations Oscillations Schwingung (DE-588)4053999-4 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Operatorgleichung (DE-588)4043601-9 gnd rswk-swf Operatorgleichung (DE-588)4043601-9 s Differentialgleichung (DE-588)4012249-9 s Schwingung (DE-588)4053999-4 s DE-604 Mišev, Dimităr P. 1952- Verfasser (DE-588)124144330 aut Series on Soviet & East European mathematics 10 (DE-604)BV007228526 10 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007357447&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Bainov, Drumi D. Mišev, Dimităr P. 1952- Oscillation theory of operator differential equations Series on Soviet & East European mathematics Équations différentielles ram Differential equations Operator equations Oscillations Schwingung (DE-588)4053999-4 gnd Differentialgleichung (DE-588)4012249-9 gnd Operatorgleichung (DE-588)4043601-9 gnd |
subject_GND | (DE-588)4053999-4 (DE-588)4012249-9 (DE-588)4043601-9 |
title | Oscillation theory of operator differential equations |
title_auth | Oscillation theory of operator differential equations |
title_exact_search | Oscillation theory of operator differential equations |
title_full | Oscillation theory of operator differential equations D. Bainov ; D. Mishev |
title_fullStr | Oscillation theory of operator differential equations D. Bainov ; D. Mishev |
title_full_unstemmed | Oscillation theory of operator differential equations D. Bainov ; D. Mishev |
title_short | Oscillation theory of operator differential equations |
title_sort | oscillation theory of operator differential equations |
topic | Équations différentielles ram Differential equations Operator equations Oscillations Schwingung (DE-588)4053999-4 gnd Differentialgleichung (DE-588)4012249-9 gnd Operatorgleichung (DE-588)4043601-9 gnd |
topic_facet | Équations différentielles Differential equations Operator equations Oscillations Schwingung Differentialgleichung Operatorgleichung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007357447&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV007228526 |
work_keys_str_mv | AT bainovdrumid oscillationtheoryofoperatordifferentialequations AT misevdimitarp oscillationtheoryofoperatordifferentialequations |