Holdings: Differential equations with impulse effects

Differential equations with impulse effects: multivalued right-hand sides with discontinuities

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Bibliographic Details
Format:	Book
Language:	English
Published:	Berlin [u.a.] De Gruyter 2011
Series:	De Gruyter studies in mathematics 40
Subjects:	Impulsdifferentialgleichung
Online Access:	Inhaltstext Inhaltsverzeichnis
Physical Description:	XIV, 307 S. graph. Darst. 240 mm x 170 mm
ISBN:	9783110218169

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MARC


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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
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isbn	9783110218169
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physical	XIV, 307 S. graph. Darst. 240 mm x 170 mm
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series	De Gruyter studies in mathematics
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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
url	http://deposit.dnb.de/cgi-bin/dokserv?id=3678488&prov=M&dok_var=1&dok_ext=htm 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
volume_link	(DE-604)BV000005407
work_keys_str_mv	AT perestjuknikolaja differentialequationswithimpulseeffectsmultivaluedrighthandsideswithdiscontinuities

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