Elements of mathematical theory of evolutionary equations in Banach spaces:
Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of thei...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2013
|
| Schriftenreihe: | World Scientific series on nonlinear science. Series A
v. 86 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant tori and bounded semi-invariant manifolds are established. Also considered are the questions on existence and approximate construction of periodic solutions for difference equations in infinite-dimensional spaces and the problem of extendibility of the solutions in degenerate cases. For nonlinear differential equations in spaces of bounded number sequences, new results are obtained in the theory of countable-point boundary-value problems. The book contains new mathematical results that will be useful towards advances in nonlinear mechanics and theoretical physics |
| Beschreibung: | x, 397 p |
| ISBN: | 9789814434836 |
Internformat
MARC
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| 245 | 1 | 0 | |a Elements of mathematical theory of evolutionary equations in Banach spaces |c Anatoly M Samoilenko, Yuriy V Teplinsky |
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| 490 | 0 | |a World Scientific series on nonlinear science. Series A |v v. 86 | |
| 520 | |a Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant tori and bounded semi-invariant manifolds are established. Also considered are the questions on existence and approximate construction of periodic solutions for difference equations in infinite-dimensional spaces and the problem of extendibility of the solutions in degenerate cases. For nonlinear differential equations in spaces of bounded number sequences, new results are obtained in the theory of countable-point boundary-value problems. The book contains new mathematical results that will be useful towards advances in nonlinear mechanics and theoretical physics | ||
| 650 | 4 | |a Banach spaces | |
| 650 | 4 | |a Evolution equations | |
| 650 | 0 | 7 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Banach-Raum |0 (DE-588)4004402-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |D s |
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Datensatz im Suchindex
| _version_ | 1804178056813740032 |
|---|---|
| any_adam_object | |
| author | Samojlenko, Anatolij M. 1938-2020 |
| author_GND | (DE-588)108416569 |
| author_facet | Samojlenko, Anatolij M. 1938-2020 |
| author_role | aut |
| author_sort | Samojlenko, Anatolij M. 1938-2020 |
| author_variant | a m s am ams |
| building | Verbundindex |
| bvnumber | BV044639148 |
| classification_rvk | SK 520 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00003145 (OCoLC)1012634986 (DE-599)BVBBV044639148 |
| dewey-full | 515.732 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.732 |
| dewey-search | 515.732 |
| dewey-sort | 3515.732 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044639148 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:54Z |
| institution | BVB |
| isbn | 9789814434836 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030037121 |
| oclc_num | 1012634986 |
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| physical | x, 397 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | World Scientific series on nonlinear science. Series A |
| spelling | Samojlenko, Anatolij M. 1938-2020 Verfasser (DE-588)108416569 aut Elements of mathematical theory of evolutionary equations in Banach spaces Anatoly M Samoilenko, Yuriy V Teplinsky Singapore World Scientific Pub. Co. c2013 x, 397 p txt rdacontent c rdamedia cr rdacarrier World Scientific series on nonlinear science. Series A v. 86 Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant tori and bounded semi-invariant manifolds are established. Also considered are the questions on existence and approximate construction of periodic solutions for difference equations in infinite-dimensional spaces and the problem of extendibility of the solutions in degenerate cases. For nonlinear differential equations in spaces of bounded number sequences, new results are obtained in the theory of countable-point boundary-value problems. The book contains new mathematical results that will be useful towards advances in nonlinear mechanics and theoretical physics Banach spaces Evolution equations Evolutionsgleichung (DE-588)4129061-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Evolutionsgleichung (DE-588)4129061-6 s Banach-Raum (DE-588)4004402-6 s 1\p DE-604 Teplinsky, Yuriy V. Sonstige oth Erscheint auch als Druck-Ausgabe 9789814434829 http://www.worldscientific.com/worldscibooks/10.1142/8616#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Samojlenko, Anatolij M. 1938-2020 Elements of mathematical theory of evolutionary equations in Banach spaces Banach spaces Evolution equations Evolutionsgleichung (DE-588)4129061-6 gnd Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4129061-6 (DE-588)4004402-6 |
| title | Elements of mathematical theory of evolutionary equations in Banach spaces |
| title_auth | Elements of mathematical theory of evolutionary equations in Banach spaces |
| title_exact_search | Elements of mathematical theory of evolutionary equations in Banach spaces |
| title_full | Elements of mathematical theory of evolutionary equations in Banach spaces Anatoly M Samoilenko, Yuriy V Teplinsky |
| title_fullStr | Elements of mathematical theory of evolutionary equations in Banach spaces Anatoly M Samoilenko, Yuriy V Teplinsky |
| title_full_unstemmed | Elements of mathematical theory of evolutionary equations in Banach spaces Anatoly M Samoilenko, Yuriy V Teplinsky |
| title_short | Elements of mathematical theory of evolutionary equations in Banach spaces |
| title_sort | elements of mathematical theory of evolutionary equations in banach spaces |
| topic | Banach spaces Evolution equations Evolutionsgleichung (DE-588)4129061-6 gnd Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Banach spaces Evolution equations Evolutionsgleichung Banach-Raum |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8616#t=toc |
| work_keys_str_mv | AT samojlenkoanatolijm elementsofmathematicaltheoryofevolutionaryequationsinbanachspaces AT teplinskyyuriyv elementsofmathematicaltheoryofevolutionaryequationsinbanachspaces |