Limiting equations for problems involving long range memory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1983
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
278 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 43, Number 278 (first of 5 numbers) |
| Beschreibung: | V, 60 S. |
| ISBN: | 0821822780 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV006394035 | ||
| 003 | DE-604 | ||
| 005 | 20160119 | ||
| 007 | t | ||
| 008 | 930210s1983 |||| 00||| eng d | ||
| 020 | |a 0821822780 |9 0-8218-2278-0 | ||
| 035 | |a (OCoLC)9324677 | ||
| 035 | |a (DE-599)BVBBV006394035 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-739 |a DE-355 |a DE-824 |a DE-29T |a DE-12 |a DE-384 |a DE-19 |a DE-91 |a DE-706 |a DE-188 |a DE-83 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 514/.322 |2 19 | |
| 082 | 0 | |a 510 |2 19 | |
| 084 | |a 45D05 |2 msc | ||
| 084 | |a 54H20 |2 msc | ||
| 100 | 1 | |a Marcus, Moshe |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Limiting equations for problems involving long range memory |c M. Marcus and Victor Mizel |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1983 | |
| 300 | |a V, 60 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 278 | |
| 500 | |a Volume 43, Number 278 (first of 5 numbers) | ||
| 650 | 4 | |a Topological dynamics | |
| 650 | 4 | |a Volterra equations | |
| 650 | 0 | 7 | |a Volterra-Integralgleichung |0 (DE-588)4234593-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Topologische Dynamik |0 (DE-588)4253345-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Volterra-Integralgleichung |0 (DE-588)4234593-5 |D s |
| 689 | 0 | 1 | |a Topologische Dynamik |0 (DE-588)4253345-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Mizel, Victor J. |e Verfasser |4 aut | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 278 |w (DE-604)BV008000141 |9 278 | |
| 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=004048517&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-004048517 | ||
Datensatz im Suchindex
| _version_ | 1804120642164883456 |
|---|---|
| adam_text | TABLE OP CONTENTS
page
I. Introduction 1 2
II. The Class of ^ operators
2.1 2.4 Spaces N.( cr ,T), bounded a convergence,
Hardy Littlewood characterization of BV 3 4
2.5 2.9 Jt operators, translation of W operators,
Uniform M operators 5 6
2.10 Convergence in M 6 7
III. Existence and Continuous Dependence of Solutions
3.1 Existence of maximally defined solutions for
prescribed initial data 8 9
3.2 Uniformity of modulus of continuity for solutions
corresponding to a family of initial data 9 10
3.3 3.5 Continuous dependence (in Kamke s sense) 11 12
IV. Condition for Precompactness in M of Positive Translates
of an H operator 13 14
V. Limiting Equations
5.1 ft limiting set of a solution 15
5.2 5.3 Existence for limiting equations defined on the
entire line 15 16
5.4 5.5 Limiting set and limiting equation for a
family of solutions 17 18
VI. Generalization to Non BV Outputs
6.1 6.2 Weakly li operators 19 20
VII. Applications to Hammerstein Hereditary Operators I
7.1 7.4 Hammerstein hereditary operators 21 22
7.5 7.6 Proof that Hammerstein hereditary operators
belong to tt 22 25
7.7 7.11 Verification that regular1 Hammerstein hereditary
operators are uniform M operators and their
positive translates are precompact in it 25 30
7.12 7.14 Representation theorem for limiting equations
of a regular Hammerstein hereditary equation . . . .30 35
VIII. Applications to Functional Differential Equations
8.1 Associating an Ji operator to an FDE 36
8.2 8.3 Quasi uniform ^ operators, the class Ma 36 37
8.4 8.7 Normalized translates, modified limiting
sets of solutions 38 39
8.8 8.10 Existence of a limiting equation 39 42
8.11 8.12 A condition ensuring that limiting equations
are also FDE s 42 43
iv TABLE OF CONTENTS
page
IX. Applications to Hammerstein Hereditary Operators II
9.1 9.2 Hammerstein hereditary operators with
nonautonomous kernel 44 45
9.3 9.4 Proof that such operators belong to Jt 45 47
9.5 9.6 Conditions for regularity 47 48
9.7 9.9 Verification that regular Hammerstein hereditary
operators are uniform W operators and their
positive translates are precompact in U 48 51
9.10 Representation theorem for limiting equations
of a regular Hammerstein hereditary equation 52 58
Acknowledgment 58
Bibliography 59 60
|
| any_adam_object | 1 |
| author | Marcus, Moshe Mizel, Victor J. |
| author_facet | Marcus, Moshe Mizel, Victor J. |
| author_role | aut aut |
| author_sort | Marcus, Moshe |
| author_variant | m m mm v j m vj vjm |
| building | Verbundindex |
| bvnumber | BV006394035 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)9324677 (DE-599)BVBBV006394035 |
| dewey-full | 514/.322 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology 510 - Mathematics |
| dewey-raw | 514/.322 510 |
| dewey-search | 514/.322 510 |
| dewey-sort | 3514 3322 |
| 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>01876nam a2200457 cb4500</leader><controlfield tag="001">BV006394035</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20160119 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">930210s1983 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821822780</subfield><subfield code="9">0-8218-2278-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)9324677</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV006394035</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514/.322</subfield><subfield code="2">19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">45D05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">54H20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Marcus, Moshe</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Limiting equations for problems involving long range memory</subfield><subfield code="c">M. Marcus and Victor Mizel</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">1983</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">V, 60 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">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">278</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Volume 43, Number 278 (first of 5 numbers)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Topological dynamics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Volterra equations</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Volterra-Integralgleichung</subfield><subfield code="0">(DE-588)4234593-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Topologische Dynamik</subfield><subfield code="0">(DE-588)4253345-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Volterra-Integralgleichung</subfield><subfield code="0">(DE-588)4234593-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Topologische Dynamik</subfield><subfield code="0">(DE-588)4253345-4</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">Mizel, Victor J.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">278</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">278</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=004048517&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:BVB01-004048517</subfield></datafield></record></collection> |
| id | DE-604.BV006394035 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:45:20Z |
| institution | BVB |
| isbn | 0821822780 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004048517 |
| oclc_num | 9324677 |
| open_access_boolean | |
| owner | DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-12 DE-384 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-706 DE-188 DE-83 |
| owner_facet | DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-12 DE-384 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-706 DE-188 DE-83 |
| physical | V, 60 S. |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Marcus, Moshe Verfasser aut Limiting equations for problems involving long range memory M. Marcus and Victor Mizel Providence, RI American Math. Soc. 1983 V, 60 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 278 Volume 43, Number 278 (first of 5 numbers) Topological dynamics Volterra equations Volterra-Integralgleichung (DE-588)4234593-5 gnd rswk-swf Topologische Dynamik (DE-588)4253345-4 gnd rswk-swf Volterra-Integralgleichung (DE-588)4234593-5 s Topologische Dynamik (DE-588)4253345-4 s DE-604 Mizel, Victor J. Verfasser aut American Mathematical Society: Memoirs of the American Mathematical Society 278 (DE-604)BV008000141 278 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004048517&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Marcus, Moshe Mizel, Victor J. Limiting equations for problems involving long range memory American Mathematical Society: Memoirs of the American Mathematical Society Topological dynamics Volterra equations Volterra-Integralgleichung (DE-588)4234593-5 gnd Topologische Dynamik (DE-588)4253345-4 gnd |
| subject_GND | (DE-588)4234593-5 (DE-588)4253345-4 |
| title | Limiting equations for problems involving long range memory |
| title_auth | Limiting equations for problems involving long range memory |
| title_exact_search | Limiting equations for problems involving long range memory |
| title_full | Limiting equations for problems involving long range memory M. Marcus and Victor Mizel |
| title_fullStr | Limiting equations for problems involving long range memory M. Marcus and Victor Mizel |
| title_full_unstemmed | Limiting equations for problems involving long range memory M. Marcus and Victor Mizel |
| title_short | Limiting equations for problems involving long range memory |
| title_sort | limiting equations for problems involving long range memory |
| topic | Topological dynamics Volterra equations Volterra-Integralgleichung (DE-588)4234593-5 gnd Topologische Dynamik (DE-588)4253345-4 gnd |
| topic_facet | Topological dynamics Volterra equations Volterra-Integralgleichung Topologische Dynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004048517&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT marcusmoshe limitingequationsforproblemsinvolvinglongrangememory AT mizelvictorj limitingequationsforproblemsinvolvinglongrangememory |