Impulsive differential equations with a small parameter:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1994
|
| Series: | Series on advances in mathematics for applied sciences
24 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 268 S. |
| ISBN: | 9810214340 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV012739021 | ||
| 003 | DE-604 | ||
| 005 | 20000321 | ||
| 007 | t | ||
| 008 | 990831s1994 |||| 00||| eng d | ||
| 020 | |a 9810214340 |9 981-02-1434-0 | ||
| 035 | |a (OCoLC)30028570 | ||
| 035 | |a (DE-599)BVBBV012739021 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-11 | ||
| 050 | 0 | |a QA372 | |
| 082 | 0 | |a 515/.352 |2 20 | |
| 084 | |a SK 520 |0 (DE-625)143244: |2 rvk | ||
| 100 | 1 | |a Bainov, Drumi D. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Impulsive differential equations with a small parameter |c Drumi Bainov ; Valéry Covachev |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 1994 | |
| 300 | |a VIII, 268 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Series on advances in mathematics for applied sciences |v 24 | |
| 650 | 7 | |a Équations différentielles |2 ram | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Impulsive differential equations | |
| 650 | 0 | 7 | |a Impulsdifferentialgleichung |0 (DE-588)4339336-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Asymptotisches Lösungsverhalten |0 (DE-588)4134367-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Impulsdifferentialgleichung |0 (DE-588)4339336-6 |D s |
| 689 | 0 | 1 | |a Asymptotisches Lösungsverhalten |0 (DE-588)4134367-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Covachev, Valéry |e Verfasser |4 aut | |
| 830 | 0 | |a Series on advances in mathematics for applied sciences |v 24 |w (DE-604)BV004569239 |9 24 | |
| 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=008662379&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-008662379 | ||
Record in the Search Index
| _version_ | 1804127406518173696 |
|---|---|
| adam_text | CONTENTS
Preface v
CHAPTER I. PRELIMINARY NOTES AND AUXILIARY
ASSERTIONS 1
§ 1. Introduction 1
§ 2. General Characteristics of the Impulsive Differential
Equations 6
§ 3. Integral Inequalities for Piecewise Continuous Functions 11
Chapter II. Regularly perturbed impulsive
DIFFERENTIAL EQUATIONS 17
§ 4. Averaging of Impulsive Differential Equations of Standard
Type 19
§ 5. Partially Additive Averaging for Impulsive Differential
Equations of Standard Type 28
§ 6. Partially Multiplicative Averaging for Impulsive Systems of
Differential Equations of Standard Type 32
§ 7. Periodic and Almost Periodic Solutions of Regularly
Perturbed Impulsive Systems 37
7.1. Existence of periodic solutions 37
7.2. Almost periodic solutions 42
§ 8. Periodic Solutions of Impulsive Systems with Delay Viewed
as a Small Parameter 48
§ 9. Existence of Integral Sets (Manifolds) and Behaviour of
the Solutions on Them 62
9.1. Integral sets of impulsive systems with hyperbolic
linear parts 62
vii
viii Contents
9.2. Methods of the integral manifolds 82
Notes and Comments 95
Chapter III. Singularly perturbed differential
EQUATIONS 97
§ 10. Initial Value Problem for a Nonlinear Singularly Perturbed
System of Impulsive Differential Equations 117
10.1. Noncritical case 118
10.2. Critical case 134
§ 11. Two Point Boundary Value Problem for Singularly
Perturbed Impulsive Systems 152
§ 12. Two Point Boundary Value Problem for Singularly
Perturbed Impulsive Systems with Singular Boundary
Conditions 170
§ 13. Periodic Problem for Singularly Perturbed Impulsive
Systems 183
13.1. Linear systems 183
13.2. Nonlinear systems 200
13.3. Numerical analytical method 215
13.4. Almost periodic solutions of singularly perturbed
linear systems of impulsive differential equations 228
§ 14. Dirichlet Problem for a Second Order Quasilinear Singularly
Perturbed Impulsive Differential Equation 235
§ 15. Justification of the Averaging Method for a System of
Singularly Perturbed Differential Equations with Impulses 242
Notes and Comments 262
References 263
|
| any_adam_object | 1 |
| author | Bainov, Drumi D. Covachev, Valéry |
| author_facet | Bainov, Drumi D. Covachev, Valéry |
| author_role | aut aut |
| author_sort | Bainov, Drumi D. |
| author_variant | d d b dd ddb v c vc |
| building | Verbundindex |
| bvnumber | BV012739021 |
| callnumber-first | Q - Science |
| callnumber-label | QA372 |
| callnumber-raw | QA372 |
| callnumber-search | QA372 |
| callnumber-sort | QA 3372 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 520 |
| ctrlnum | (OCoLC)30028570 (DE-599)BVBBV012739021 |
| 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 3352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01771nam a2200433 cb4500</leader><controlfield tag="001">BV012739021</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20000321 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">990831s1994 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9810214340</subfield><subfield code="9">981-02-1434-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)30028570</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV012739021</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA372</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.352</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 520</subfield><subfield code="0">(DE-625)143244:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bainov, Drumi D.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Impulsive differential equations with a small parameter</subfield><subfield code="c">Drumi Bainov ; Valéry Covachev</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore [u.a.]</subfield><subfield code="b">World Scientific</subfield><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 268 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Series on advances in mathematics for applied sciences</subfield><subfield code="v">24</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Équations différentielles</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Impulsive differential equations</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Impulsdifferentialgleichung</subfield><subfield code="0">(DE-588)4339336-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Asymptotisches Lösungsverhalten</subfield><subfield code="0">(DE-588)4134367-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Impulsdifferentialgleichung</subfield><subfield code="0">(DE-588)4339336-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Asymptotisches Lösungsverhalten</subfield><subfield code="0">(DE-588)4134367-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Covachev, Valéry</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Series on advances in mathematics for applied sciences</subfield><subfield code="v">24</subfield><subfield code="w">(DE-604)BV004569239</subfield><subfield code="9">24</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008662379&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-008662379</subfield></datafield></record></collection> |
| id | DE-604.BV012739021 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:32:51Z |
| institution | BVB |
| isbn | 9810214340 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008662379 |
| oclc_num | 30028570 |
| open_access_boolean | |
| owner | DE-703 DE-11 |
| owner_facet | DE-703 DE-11 |
| physical | VIII, 268 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | World Scientific |
| record_format | marc |
| series | Series on advances in mathematics for applied sciences |
| series2 | Series on advances in mathematics for applied sciences |
| spelling | Bainov, Drumi D. Verfasser aut Impulsive differential equations with a small parameter Drumi Bainov ; Valéry Covachev Singapore [u.a.] World Scientific 1994 VIII, 268 S. txt rdacontent n rdamedia nc rdacarrier Series on advances in mathematics for applied sciences 24 Équations différentielles ram Differential equations Impulsive differential equations Impulsdifferentialgleichung (DE-588)4339336-6 gnd rswk-swf Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd rswk-swf Impulsdifferentialgleichung (DE-588)4339336-6 s Asymptotisches Lösungsverhalten (DE-588)4134367-0 s DE-604 Covachev, Valéry Verfasser aut Series on advances in mathematics for applied sciences 24 (DE-604)BV004569239 24 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008662379&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bainov, Drumi D. Covachev, Valéry Impulsive differential equations with a small parameter Series on advances in mathematics for applied sciences Équations différentielles ram Differential equations Impulsive differential equations Impulsdifferentialgleichung (DE-588)4339336-6 gnd Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd |
| subject_GND | (DE-588)4339336-6 (DE-588)4134367-0 |
| title | Impulsive differential equations with a small parameter |
| title_auth | Impulsive differential equations with a small parameter |
| title_exact_search | Impulsive differential equations with a small parameter |
| title_full | Impulsive differential equations with a small parameter Drumi Bainov ; Valéry Covachev |
| title_fullStr | Impulsive differential equations with a small parameter Drumi Bainov ; Valéry Covachev |
| title_full_unstemmed | Impulsive differential equations with a small parameter Drumi Bainov ; Valéry Covachev |
| title_short | Impulsive differential equations with a small parameter |
| title_sort | impulsive differential equations with a small parameter |
| topic | Équations différentielles ram Differential equations Impulsive differential equations Impulsdifferentialgleichung (DE-588)4339336-6 gnd Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd |
| topic_facet | Équations différentielles Differential equations Impulsive differential equations Impulsdifferentialgleichung Asymptotisches Lösungsverhalten |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008662379&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004569239 |
| work_keys_str_mv | AT bainovdrumid impulsivedifferentialequationswithasmallparameter AT covachevvalery impulsivedifferentialequationswithasmallparameter |