Almost Periodic Solutions of Impulsive Differential Equations:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2012
|
| Series: | Lecture Notes in Mathematics
2047 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XX, 217 S. 235 mm x 155 mm |
| ISBN: | 9783642275456 3642275451 9783642275463 |
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MARC
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Record in the Search Index
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| adam_text |
IMAGE 1
C O N T E N T S
1 I M P U L S I V E D I F F E R E N T I A L E Q U A T I O N S
A N D A L M O S T P E R I O D I C I T Y 1
1.1 IMPULSIVE DIFFERENTIAL EQUATIONS 1
1.1.1 EXISTENCE, UNIQUENESS A N D CONTINUABILITY 5
1.1.2 PIECEWISE CONTINUOUS LYAPUNOV FUNCTIONS 10
1.1.3 IMPULSIVE DIFFERENTIAL INEQUALITIES 1'2
1.2 ALMOST PERIODIC SEQUENCES 16
1.3 ALMOST PERIODIC FUNCTIONS 25
2 A L M O S T P E R I O D I C S O L U T I O N S 33
2.1 HYPERBOLIC IMPULSIVE DIFFERENTIAL EQUATIONS 34
2.2 IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS 40
2.3 FORCED P E R T U R B E D IMPULSIVE DIFFERENTIAL EQUATIONS 4 7
2.4 P E R T U R B A T I O N S IN T H E LINEAR P A R T 57
2.5 STRONG STABLE IMPULSIVE DIFFERENTIAL EQUATIONS 65
2.6 DICHOTOMIES A N D ALMOST PERIODICITY 71
2.7 SEPARATED SOLUTIONS A N D ALMOST PERIODICITY 76
2.8 IMPULSIVE DIFFERENTIAL EQUATIONS IN B A N A C H SPACE 82
3 L Y A P U N O V M E T H O D A N D A L M O S T P E R I O D I C I T Y 97
3.1 LYAPUNOV M E T H O D A N D ALMOST PERIODIC SOLUTIONS 97
3.1.1 ALMOST PERIODIC LYAPUNOV FUNCTIONS 99
3.1.2 ALMOST PERIODIC SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS 108
3.1.3 WEAKLY NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS 113 3.1.4 (HO, H
)-STABLE IMPULSIVE DIFFERENTIAL EQUATIONS 116
3.2 IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS 119
3.3 IMPULSIVE DIFFERENTIAL E Q U A T I O N S W I T H TIME-VARYING DELAYS
. . . 126 3.4 IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS 135
3.5 UNCERTAIN IMPULSIVE DYNAMICAL EQUATIONS 142
X I
HTTP://D-NB.INFO/1017779422
IMAGE 2
XII C O N T E N T S
4 A P P L I C A T I O N S 151
4.1 BIOLOGICAL MODELS 151
4.1.1 A N IMPULSIVE LASOTA-WAZEWSKA MODEL 151
4.1.2 A N IMPULSIVE MODEL OF HEMATOPOIESIS 158
4.1.3 A N IMPULSIVE DELAY LOGARITHMIC POPULATION MODEL 163 4.2
POPULATION DYNAMICS 166
4.2.1 IMPULSIVE N -DIMENSIONAL LOTKA-VOLTERRA MODELS 166
4.2.2 IMPULSIVE LOTKA-VOLTERRA MODELS W I T H DISPERSIONS 175 4.2.3
IMPULSIVE LOTKA-VOLTERRA MODELS W I T H DELAYS 181
4.3 NEURAL NETWORKS 190
4.3.1 IMPULSIVE NEURAL NETWORKS 190
4.3.2 IMPULSIVE NEURAL NETWORKS W I T H DELAYS 198
4.3.3 IMPULSIVE NEURAL NETWORKS OF A GENERAL T Y P E 201
R E F E R E N C E S 205
I N D E X 215 |
| any_adam_object | 1 |
| author | Stamov, Gani T. 1960- |
| author_GND | (DE-588)1022129481 |
| author_facet | Stamov, Gani T. 1960- |
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| author_sort | Stamov, Gani T. 1960- |
| author_variant | g t s gt gts |
| building | Verbundindex |
| bvnumber | BV040111265 |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)793373981 (DE-599)DNB1017779422 |
| dewey-full | 518/.63 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518/.63 |
| dewey-search | 518/.63 |
| dewey-sort | 3518 263 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-21T00:31:10Z |
| institution | BVB |
| isbn | 9783642275456 3642275451 9783642275463 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024967589 |
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| physical | XX, 217 S. 235 mm x 155 mm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Springer |
| record_format | marc |
| series | Lecture Notes in Mathematics |
| series2 | Lecture Notes in Mathematics |
| spelling | Stamov, Gani T. 1960- Verfasser (DE-588)1022129481 aut Almost Periodic Solutions of Impulsive Differential Equations Gani T. Stamov Berlin [u.a.] Springer 2012 XX, 217 S. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture Notes in Mathematics 2047 Impulsdifferentialgleichung (DE-588)4339336-6 gnd rswk-swf Fastperiodische Funktion (DE-588)4289369-0 gnd rswk-swf Impulsdifferentialgleichung (DE-588)4339336-6 s Fastperiodische Funktion (DE-588)4289369-0 s DE-604 Erscheint auch als Online-Ausgabe Almost Periodic Solutions of Impulsive Differential Equations Lecture Notes in Mathematics 2047 (DE-604)BV000676446 2047 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3931952&prov=M&dok%5Fvar=1&dok%5Fext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024967589&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stamov, Gani T. 1960- Almost Periodic Solutions of Impulsive Differential Equations Lecture Notes in Mathematics Impulsdifferentialgleichung (DE-588)4339336-6 gnd Fastperiodische Funktion (DE-588)4289369-0 gnd |
| subject_GND | (DE-588)4339336-6 (DE-588)4289369-0 |
| title | Almost Periodic Solutions of Impulsive Differential Equations |
| title_auth | Almost Periodic Solutions of Impulsive Differential Equations |
| title_exact_search | Almost Periodic Solutions of Impulsive Differential Equations |
| title_full | Almost Periodic Solutions of Impulsive Differential Equations Gani T. Stamov |
| title_fullStr | Almost Periodic Solutions of Impulsive Differential Equations Gani T. Stamov |
| title_full_unstemmed | Almost Periodic Solutions of Impulsive Differential Equations Gani T. Stamov |
| title_short | Almost Periodic Solutions of Impulsive Differential Equations |
| title_sort | almost periodic solutions of impulsive differential equations |
| topic | Impulsdifferentialgleichung (DE-588)4339336-6 gnd Fastperiodische Funktion (DE-588)4289369-0 gnd |
| topic_facet | Impulsdifferentialgleichung Fastperiodische Funktion |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3931952&prov=M&dok%5Fvar=1&dok%5Fext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024967589&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT stamovganit almostperiodicsolutionsofimpulsivedifferentialequations |