Differential equations with impulse effects: multivalued right-hand sides with discontinuities
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
De Gruyter
2011
|
| Schriftenreihe: | De Gruyter studies in mathematics
40 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XIV, 307 S. graph. Darst. 240 mm x 170 mm |
| ISBN: | 9783110218169 |
Internformat
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| 245 | 1 | 0 | |a Differential equations with impulse effects |b multivalued right-hand sides with discontinuities |c Nikolai A. Perestyuk ... |
| 264 | 1 | |a Berlin [u.a.] |b De Gruyter |c 2011 | |
| 300 | |a XIV, 307 S. |b graph. Darst. |c 240 mm x 170 mm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a De Gruyter studies in mathematics |v 40 | |
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| 700 | 1 | |a Perestjuk, Nikolaj A. |e Sonstige |0 (DE-588)104315539 |4 oth | |
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Datensatz im Suchindex
| _version_ | 1805096487028260864 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS
INTRODUCTION VII
NOTATION XI
1 IMPULSIVE DIFFERENTIAL EQUATIONS 1
1.1 GENERAL CHARACTERIZATION OF SYSTEMS OF IMPULSIVE DIFFERENTIAL EQUA-
TIONS 1
1.2 LINEAR SYSTEMS 23
2 IMPULSIVE DIFFERENTIAL INCLUSIONS 42
2.1 DIFFERENTIAL INCLUSIONS WITH FIXED TIMES OF PULSE ACTION 42 2.2
DIFFERENTIAL INCLUSIONS WITH NONFIXED TIMES OF PULSE ACTION 48 2.3
EXAMPLES 56
3 LINEAR IMPULSIVE DIFFERENTIAL INCLUSIONS 66
3.1 STATEMENT OF THE PROBLEM. THEOREM ON EXISTENCE AND UNIQUENESS . . 66
3.2 STABILITY OF SOLUTIONS OF LINEAR IMPULSIVE DIFFERENTIAL INCLUSIONS .
. 72 3.3 PERIODIC SOLUTIONS OF LINEAR IMPULSIVE DIFFERENTIAL INCLUSIONS
. . . 88 3.4 LINEAR DIFFERENTIAL EQUATIONS WITH PULSE ACTION AT
INDEFINITE TIMES . . 1 19
4 LINEAR SYSTEMS WITH MULTIVALUED TRAJECTORIES 124
4.1 DIFFERENTIAL EQUATIONS WITH HUKUHARA DERIVATIVE 124
4.2 APPROXIMATION OF THE INTEGRAL FUNNEL OF A LINEAR DIFFERENTIAL
INCLUSION WITH THE HELP OF SYSTEMS OF DIFFERENTIAL EQUATIONS WITH
HUKUHARA DERIVATIVE 130
4.3 LINEAR DIFFERENTIAL EQUATIONS WITH N -DERIVATIVE 151
4.4 EXTENSION OF THE SPACE CONV(]R") FOR = 1 155
4.5 APPROXIMATION OF THE INTEGRAL FUNNEL OF A LINEAR DIFFERENTIAL
INCLUSION WITH THE HELP OF SYSTEMS OF DIFFERENTIAL EQUATIONS WITH TC
-DERIVATIVE 159
5 METHOD OF AVERAGING IN SYSTEMS WITH PULSE ACTION 169
5.1 OSCILLATING SYSTEM WITH ONE DEGREE OF FREEDOM 169
5.2 SYSTEMS WITH FIXED TIMES OF THE PULSE ACTION 194
5.3 SYSTEMS WITH NONFIXED TIMES OF THE PULSE ACTION 204
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1010340832
DIGITALISIERT DURCH
IMAGE 2
XIV CONTENTS
6 AVERAGING OF DIFFERENTIAL INCLUSIONS 220
6.1 AVERAGING OF INCLUSIONS WITH PULSES AT FIXED TIMES 220
6.2 KRASNOSEL'SKII-KREIN THEOREM FOR DIFFERENTIAL INCLUSIONS 229 6.3
AVERAGING OF INCLUSIONS WITH PULSES AT NONFIXED TIMES 241
6.4 AVERAGING OF IMPULSIVE DIFFERENTIAL EQUATIONS WITH HUKUHARA
DERIVATIVE 250
7 DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDE 257 7.1
MOTIONS AND QUASIMOTIONS 257
7.2 IMPULSIVE MOTIONS AND QUASIMOTIONS 270
7.3 EULER QUASIBROKEN LINES 273
A SOME ELEMENTS OF SET-VALUED ANALYSIS 276
B DIFFERENTIAL INCLUSIONS 283
REFERENCES 295
INDEX 305 |
| any_adam_object | 1 |
| author_GND | (DE-588)104315539 |
| building | Verbundindex |
| bvnumber | BV039164231 |
| classification_rvk | SK 520 SK 920 |
| ctrlnum | (OCoLC)707182602 (DE-599)DNB1010340832 |
| dewey-full | 515.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.352 |
| dewey-search | 515.352 |
| dewey-sort | 3515.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-20T11:15:57Z |
| institution | BVB |
| isbn | 9783110218169 |
| language | English |
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| physical | XIV, 307 S. graph. Darst. 240 mm x 170 mm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | De Gruyter |
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| series | De Gruyter studies in mathematics |
| series2 | De Gruyter studies in mathematics |
| spelling | Differential equations with impulse effects multivalued right-hand sides with discontinuities Nikolai A. Perestyuk ... Berlin [u.a.] De Gruyter 2011 XIV, 307 S. graph. Darst. 240 mm x 170 mm txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematics 40 Impulsdifferentialgleichung (DE-588)4339336-6 gnd rswk-swf Impulsdifferentialgleichung (DE-588)4339336-6 s DE-604 Perestjuk, Nikolaj A. Sonstige (DE-588)104315539 oth Erscheint auch als Online-Ausgabe 978-3-11-021817-6 De Gruyter studies in mathematics 40 (DE-604)BV000005407 40 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3678488&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024181640&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Differential equations with impulse effects multivalued right-hand sides with discontinuities De Gruyter studies in mathematics Impulsdifferentialgleichung (DE-588)4339336-6 gnd |
| subject_GND | (DE-588)4339336-6 |
| title | Differential equations with impulse effects multivalued right-hand sides with discontinuities |
| title_auth | Differential equations with impulse effects multivalued right-hand sides with discontinuities |
| title_exact_search | Differential equations with impulse effects multivalued right-hand sides with discontinuities |
| title_full | Differential equations with impulse effects multivalued right-hand sides with discontinuities Nikolai A. Perestyuk ... |
| title_fullStr | Differential equations with impulse effects multivalued right-hand sides with discontinuities Nikolai A. Perestyuk ... |
| title_full_unstemmed | Differential equations with impulse effects multivalued right-hand sides with discontinuities Nikolai A. Perestyuk ... |
| title_short | Differential equations with impulse effects |
| title_sort | differential equations with impulse effects multivalued right hand sides with discontinuities |
| title_sub | multivalued right-hand sides with discontinuities |
| topic | Impulsdifferentialgleichung (DE-588)4339336-6 gnd |
| topic_facet | Impulsdifferentialgleichung |
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