Viability, invariance and applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam ; Boston
Elsevier
2007
|
| Edition: | 1st ed |
| Series: | North-Holland mathematics studies
207 |
| Subjects: | |
| Item Description: | Print version record |
| Physical Description: | 1 online resource (xii, 344 pages) illustrations |
| ISBN: | 9780444527615 0444527613 9780080521664 0080521665 1281021555 9781281021557 |
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MARC
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| 100 | 1 | |a Carja, Ovidiu |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Viability, invariance and applications |c Ovidiu Carja, Mihai Necula, Ioan I. Vrabie |
| 250 | |a 1st ed | ||
| 264 | 1 | |a Amsterdam ; Boston |b Elsevier |c 2007 | |
| 300 | |a 1 online resource (xii, 344 pages) |b illustrations | ||
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| 490 | 0 | |a North-Holland mathematics studies |v 207 | |
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| 505 | 8 | |a The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and issuing in K remains in K, at least for a short time. The book includes the most important necessary and sufficient conditions for viability starting with Nagumos Viability Theorem for ordinary differential equations with continuous right-hand sides and continuing with the corresponding extensions either to differential inclusions or to semilinear or even fully nonlinear evolution equations, systems and inclusions. In the latter (i.e. multi-valued) cases, the results (based on two completely new tangency concepts), all due to the authors, are original and extend significantly, in several directions, their well-known classical counterparts. - New concepts for multi-functions as the classical tangent vectors for functions - Provides the very general and necessary conditions for viability in the case of differential inclusions, semilinear and fully nonlinear evolution inclusions - Clarifying examples, illustrations and numerous problems, completely and carefully solved - Illustrates the applications from theory into practice - Very clear and elegant style | |
| 650 | 7 | |a MATHEMATICS / Differential Equations / General |2 bisacsh | |
| 650 | 7 | |a Differential equations |2 fast | |
| 650 | 7 | |a Set theory |2 fast | |
| 650 | 7 | |a Symmetry (Mathematics) |2 fast | |
| 650 | 4 | |a Differential equations |a Set theory |a Symmetry (Mathematics) | |
| 700 | 1 | |a Necula, Mihai |e Sonstige |4 oth | |
| 700 | 1 | |a Vrabie, I. I. |d 1951- |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Carja, Ovidiu |t Viability, invariance and applications |b 1st ed |d Amsterdam ; Boston : Elsevier, 2007 |z 9780444527615 |z 0444527613 |
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Record in the Search Index
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| author | Carja, Ovidiu |
| author_facet | Carja, Ovidiu |
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| contents | The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and issuing in K remains in K, at least for a short time. The book includes the most important necessary and sufficient conditions for viability starting with Nagumos Viability Theorem for ordinary differential equations with continuous right-hand sides and continuing with the corresponding extensions either to differential inclusions or to semilinear or even fully nonlinear evolution equations, systems and inclusions. In the latter (i.e. multi-valued) cases, the results (based on two completely new tangency concepts), all due to the authors, are original and extend significantly, in several directions, their well-known classical counterparts. - New concepts for multi-functions as the classical tangent vectors for functions - Provides the very general and necessary conditions for viability in the case of differential inclusions, semilinear and fully nonlinear evolution inclusions - Clarifying examples, illustrations and numerous problems, completely and carefully solved - Illustrates the applications from theory into practice - Very clear and elegant style |
| ctrlnum | (ZDB-4-ENC)ocn162131435 (OCoLC)162131435 (DE-599)BVBBV045341846 |
| dewey-full | 515.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Electronic eBook |
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| id | DE-604.BV045341846 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:15:26Z |
| institution | BVB |
| isbn | 9780444527615 0444527613 9780080521664 0080521665 1281021555 9781281021557 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030728549 |
| oclc_num | 162131435 |
| open_access_boolean | |
| physical | 1 online resource (xii, 344 pages) illustrations |
| psigel | ZDB-4-ENC |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Elsevier |
| record_format | marc |
| series2 | North-Holland mathematics studies |
| spelling | Carja, Ovidiu Verfasser aut Viability, invariance and applications Ovidiu Carja, Mihai Necula, Ioan I. Vrabie 1st ed Amsterdam ; Boston Elsevier 2007 1 online resource (xii, 344 pages) illustrations txt rdacontent c rdamedia cr rdacarrier North-Holland mathematics studies 207 Print version record The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and issuing in K remains in K, at least for a short time. The book includes the most important necessary and sufficient conditions for viability starting with Nagumos Viability Theorem for ordinary differential equations with continuous right-hand sides and continuing with the corresponding extensions either to differential inclusions or to semilinear or even fully nonlinear evolution equations, systems and inclusions. In the latter (i.e. multi-valued) cases, the results (based on two completely new tangency concepts), all due to the authors, are original and extend significantly, in several directions, their well-known classical counterparts. - New concepts for multi-functions as the classical tangent vectors for functions - Provides the very general and necessary conditions for viability in the case of differential inclusions, semilinear and fully nonlinear evolution inclusions - Clarifying examples, illustrations and numerous problems, completely and carefully solved - Illustrates the applications from theory into practice - Very clear and elegant style MATHEMATICS / Differential Equations / General bisacsh Differential equations fast Set theory fast Symmetry (Mathematics) fast Differential equations Set theory Symmetry (Mathematics) Necula, Mihai Sonstige oth Vrabie, I. I. 1951- Sonstige oth Erscheint auch als Druck-Ausgabe Carja, Ovidiu Viability, invariance and applications 1st ed Amsterdam ; Boston : Elsevier, 2007 9780444527615 0444527613 |
| spellingShingle | Carja, Ovidiu Viability, invariance and applications The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and issuing in K remains in K, at least for a short time. The book includes the most important necessary and sufficient conditions for viability starting with Nagumos Viability Theorem for ordinary differential equations with continuous right-hand sides and continuing with the corresponding extensions either to differential inclusions or to semilinear or even fully nonlinear evolution equations, systems and inclusions. In the latter (i.e. multi-valued) cases, the results (based on two completely new tangency concepts), all due to the authors, are original and extend significantly, in several directions, their well-known classical counterparts. - New concepts for multi-functions as the classical tangent vectors for functions - Provides the very general and necessary conditions for viability in the case of differential inclusions, semilinear and fully nonlinear evolution inclusions - Clarifying examples, illustrations and numerous problems, completely and carefully solved - Illustrates the applications from theory into practice - Very clear and elegant style MATHEMATICS / Differential Equations / General bisacsh Differential equations fast Set theory fast Symmetry (Mathematics) fast Differential equations Set theory Symmetry (Mathematics) |
| title | Viability, invariance and applications |
| title_auth | Viability, invariance and applications |
| title_exact_search | Viability, invariance and applications |
| title_full | Viability, invariance and applications Ovidiu Carja, Mihai Necula, Ioan I. Vrabie |
| title_fullStr | Viability, invariance and applications Ovidiu Carja, Mihai Necula, Ioan I. Vrabie |
| title_full_unstemmed | Viability, invariance and applications Ovidiu Carja, Mihai Necula, Ioan I. Vrabie |
| title_short | Viability, invariance and applications |
| title_sort | viability invariance and applications |
| topic | MATHEMATICS / Differential Equations / General bisacsh Differential equations fast Set theory fast Symmetry (Mathematics) fast Differential equations Set theory Symmetry (Mathematics) |
| topic_facet | MATHEMATICS / Differential Equations / General Differential equations Set theory Symmetry (Mathematics) Differential equations Set theory Symmetry (Mathematics) |
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