Analysis and differential equations:
Publisher’s description: The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solut...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai
World Scientific
[2023]
|
| Edition: | Second edition |
| Subjects: | |
| Online Access: | Rezension |
| Summary: | Publisher’s description: The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solutions with discrete approximations. The main changes of this second edition are: the addition of theoretical sections proving the existence and the unicity of the solutions for linear differential equations on real and complex spaces and for nonlinear differential equations defined by locally Lipschitz functions of the derivatives, as well as the approximations of nonlinear parabolic, elliptic, and hyperbolic equations with locally differentiable operators which allow to prove the existence of their solutions; furthermore, the behavior of the solutions of differential equations under small perturbations of the initial condition or of the differential operators is studied. |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | xi, 292 Seiten Illustrationen, Diagramme |
| ISBN: | 9789811268564 |
Staff View
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| 245 | 1 | 0 | |a Analysis and differential equations |c Odile Pons, French National Institute for Agronomical Research, France |
| 250 | |a Second edition | ||
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai |b World Scientific |c [2023] | |
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| 500 | |a Includes bibliographical references and index | ||
| 520 | 3 | |a Publisher’s description: The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solutions with discrete approximations. The main changes of this second edition are: the addition of theoretical sections proving the existence and the unicity of the solutions for linear differential equations on real and complex spaces and for nonlinear differential equations defined by locally Lipschitz functions of the derivatives, as well as the approximations of nonlinear parabolic, elliptic, and hyperbolic equations with locally differentiable operators which allow to prove the existence of their solutions; furthermore, the behavior of the solutions of differential equations under small perturbations of the initial condition or of the differential operators is studied. | |
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| id | DE-604.BV049953784 |
| illustrated | Illustrated |
| indexdate | 2025-03-31T18:06:54Z |
| institution | BVB |
| isbn | 9789811268564 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035291768 |
| oclc_num | 1445417810 |
| open_access_boolean | 1 |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | xi, 292 Seiten Illustrationen, Diagramme |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Pons, Odile 1953- Verfasser (DE-588)1158864035 aut Analysis and differential equations Odile Pons, French National Institute for Agronomical Research, France Second edition New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai World Scientific [2023] xi, 292 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Publisher’s description: The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solutions with discrete approximations. The main changes of this second edition are: the addition of theoretical sections proving the existence and the unicity of the solutions for linear differential equations on real and complex spaces and for nonlinear differential equations defined by locally Lipschitz functions of the derivatives, as well as the approximations of nonlinear parabolic, elliptic, and hyperbolic equations with locally differentiable operators which allow to prove the existence of their solutions; furthermore, the behavior of the solutions of differential equations under small perturbations of the initial condition or of the differential operators is studied. Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differential equations / Textbooks Calculus / Textbooks Differentialgleichung (DE-588)4012249-9 s DE-604 Erscheint auch als Online-Ausgabe, ebook for institutions 978-981-126-857-1 Erscheint auch als Online-Ausgabe, ebook for individuals 978-981-126-858-8 https://zbmath.org/1506.34001 zbMATH kostenfrei Rezension |
| spellingShingle | Pons, Odile 1953- Analysis and differential equations Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4012249-9 |
| title | Analysis and differential equations |
| title_auth | Analysis and differential equations |
| title_exact_search | Analysis and differential equations |
| title_full | Analysis and differential equations Odile Pons, French National Institute for Agronomical Research, France |
| title_fullStr | Analysis and differential equations Odile Pons, French National Institute for Agronomical Research, France |
| title_full_unstemmed | Analysis and differential equations Odile Pons, French National Institute for Agronomical Research, France |
| title_short | Analysis and differential equations |
| title_sort | analysis and differential equations |
| topic | Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Differentialgleichung |
| url | https://zbmath.org/1506.34001 |
| work_keys_str_mv | AT ponsodile analysisanddifferentialequations |