Generalized Ordinary Differential Equations: Not Absolutely Continuous Solutions
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
2012
|
| Schriftenreihe: | Series in real analysis
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Print version record |
| Beschreibung: | 1 online resource (208 pages) |
| ISBN: | 9789814324038 9814324035 |
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| 505 | 8 | |a Preface; Contents; 1. Introduction; 2. Kapitza's pendulum and a related problem; 3. Elementary methods: averaging; 4. Elementary methods: internal resonance; 5. Strong Riemann-integration of functions of a pair of coupled variables; 6. Generalized ordinary differential equations: Strong Riemann-solutions (concepts); 7. Functions?1,?2; 8. Strong Riemann-solutions of generalized differential equations: a survey; 9. Approximate solutions: boundedness; 10. Approximate solutions: a Lipschitz condition; 11. Approximate solutions: convergence; 12. Solutions; 13. Continuous dependence | |
| 505 | 8 | |a 14. Strong Kurzweil Henstock-integration of functions of a pair of coupled variables15. Generalized differential equations: Strong Kurzweil Henstock-solutions; 16. Uniqueness; 17. Differential equations in classical form; 18. On a class of differential equations in classical form; 19. Integration and Strong Integration; 20. A class of Strong Kurzweil Henstock-integrable functions; 21. Integration by parts; 22. A variant of Gronwall inequality; 23. Existence of solutions of a class of generalized ordinary differential equations | |
| 505 | 8 | |a 24. A convergence process as a source of discontinuities in the theory of differential equations25. A class of Strong Riemann-integrable functions; 26. On equality of two integrals; 27. A class of Generalized ordinary differential equations with a restricted right hand side; Appendix A. Some elementary results; Appendix B. Trifles from functional analysis; Bibliography; Symbols; Subject index | |
| 505 | 8 | |a This book provides a systematic treatment of the Volterra integral equation by means of a modern integration theory which extends considerably the field of differential equations. It contains many new concepts and results in the framework of a unifying theory. In particular, this new approach is suitable in situations where fast oscillations occur | |
| 650 | 4 | |a Mathematics | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Kurzweil, Jaroslav |
| author_facet | Kurzweil, Jaroslav |
| author_role | aut |
| author_sort | Kurzweil, Jaroslav |
| author_variant | j k jk |
| building | Verbundindex |
| bvnumber | BV043032861 |
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| contents | Preface; Contents; 1. Introduction; 2. Kapitza's pendulum and a related problem; 3. Elementary methods: averaging; 4. Elementary methods: internal resonance; 5. Strong Riemann-integration of functions of a pair of coupled variables; 6. Generalized ordinary differential equations: Strong Riemann-solutions (concepts); 7. Functions?1,?2; 8. Strong Riemann-solutions of generalized differential equations: a survey; 9. Approximate solutions: boundedness; 10. Approximate solutions: a Lipschitz condition; 11. Approximate solutions: convergence; 12. Solutions; 13. Continuous dependence 14. Strong Kurzweil Henstock-integration of functions of a pair of coupled variables15. Generalized differential equations: Strong Kurzweil Henstock-solutions; 16. Uniqueness; 17. Differential equations in classical form; 18. On a class of differential equations in classical form; 19. Integration and Strong Integration; 20. A class of Strong Kurzweil Henstock-integrable functions; 21. Integration by parts; 22. A variant of Gronwall inequality; 23. Existence of solutions of a class of generalized ordinary differential equations 24. A convergence process as a source of discontinuities in the theory of differential equations25. A class of Strong Riemann-integrable functions; 26. On equality of two integrals; 27. A class of Generalized ordinary differential equations with a restricted right hand side; Appendix A. Some elementary results; Appendix B. Trifles from functional analysis; Bibliography; Symbols; Subject index This book provides a systematic treatment of the Volterra integral equation by means of a modern integration theory which extends considerably the field of differential equations. It contains many new concepts and results in the framework of a unifying theory. In particular, this new approach is suitable in situations where fast oscillations occur |
| ctrlnum | (OCoLC)794328373 (DE-599)BVBBV043032861 |
| 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 | 3515.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043032861 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:15:32Z |
| institution | BVB |
| isbn | 9789814324038 9814324035 |
| language | English |
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| physical | 1 online resource (208 pages) |
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| spelling | Kurzweil, Jaroslav Verfasser aut Generalized Ordinary Differential Equations Not Absolutely Continuous Solutions Singapore World Scientific 2012 1 online resource (208 pages) txt rdacontent c rdamedia cr rdacarrier Series in real analysis Print version record Preface; Contents; 1. Introduction; 2. Kapitza's pendulum and a related problem; 3. Elementary methods: averaging; 4. Elementary methods: internal resonance; 5. Strong Riemann-integration of functions of a pair of coupled variables; 6. Generalized ordinary differential equations: Strong Riemann-solutions (concepts); 7. Functions?1,?2; 8. Strong Riemann-solutions of generalized differential equations: a survey; 9. Approximate solutions: boundedness; 10. Approximate solutions: a Lipschitz condition; 11. Approximate solutions: convergence; 12. Solutions; 13. Continuous dependence 14. Strong Kurzweil Henstock-integration of functions of a pair of coupled variables15. Generalized differential equations: Strong Kurzweil Henstock-solutions; 16. Uniqueness; 17. Differential equations in classical form; 18. On a class of differential equations in classical form; 19. Integration and Strong Integration; 20. A class of Strong Kurzweil Henstock-integrable functions; 21. Integration by parts; 22. A variant of Gronwall inequality; 23. Existence of solutions of a class of generalized ordinary differential equations 24. A convergence process as a source of discontinuities in the theory of differential equations25. A class of Strong Riemann-integrable functions; 26. On equality of two integrals; 27. A class of Generalized ordinary differential equations with a restricted right hand side; Appendix A. Some elementary results; Appendix B. Trifles from functional analysis; Bibliography; Symbols; Subject index This book provides a systematic treatment of the Volterra integral equation by means of a modern integration theory which extends considerably the field of differential equations. It contains many new concepts and results in the framework of a unifying theory. In particular, this new approach is suitable in situations where fast oscillations occur Mathematics MATHEMATICS / Differential Equations / Ordinary bisacsh Mathematik Differential equations Integral equations Verallgemeinerte Differentialgleichung (DE-588)4187509-6 gnd rswk-swf Henstock-Integration (DE-588)4159545-2 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Verallgemeinerte Differentialgleichung (DE-588)4187509-6 s Henstock-Integration (DE-588)4159545-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe Kurzweil, Jaroslav Generalized Ordinary Differential Equations : Not Absolutely Continuous Solutions http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=457174 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kurzweil, Jaroslav Generalized Ordinary Differential Equations Not Absolutely Continuous Solutions Preface; Contents; 1. Introduction; 2. Kapitza's pendulum and a related problem; 3. Elementary methods: averaging; 4. Elementary methods: internal resonance; 5. Strong Riemann-integration of functions of a pair of coupled variables; 6. Generalized ordinary differential equations: Strong Riemann-solutions (concepts); 7. Functions?1,?2; 8. Strong Riemann-solutions of generalized differential equations: a survey; 9. Approximate solutions: boundedness; 10. Approximate solutions: a Lipschitz condition; 11. Approximate solutions: convergence; 12. Solutions; 13. Continuous dependence 14. Strong Kurzweil Henstock-integration of functions of a pair of coupled variables15. Generalized differential equations: Strong Kurzweil Henstock-solutions; 16. Uniqueness; 17. Differential equations in classical form; 18. On a class of differential equations in classical form; 19. Integration and Strong Integration; 20. A class of Strong Kurzweil Henstock-integrable functions; 21. Integration by parts; 22. A variant of Gronwall inequality; 23. Existence of solutions of a class of generalized ordinary differential equations 24. A convergence process as a source of discontinuities in the theory of differential equations25. A class of Strong Riemann-integrable functions; 26. On equality of two integrals; 27. A class of Generalized ordinary differential equations with a restricted right hand side; Appendix A. Some elementary results; Appendix B. Trifles from functional analysis; Bibliography; Symbols; Subject index This book provides a systematic treatment of the Volterra integral equation by means of a modern integration theory which extends considerably the field of differential equations. It contains many new concepts and results in the framework of a unifying theory. In particular, this new approach is suitable in situations where fast oscillations occur Mathematics MATHEMATICS / Differential Equations / Ordinary bisacsh Mathematik Differential equations Integral equations Verallgemeinerte Differentialgleichung (DE-588)4187509-6 gnd Henstock-Integration (DE-588)4159545-2 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| subject_GND | (DE-588)4187509-6 (DE-588)4159545-2 (DE-588)4020929-5 |
| title | Generalized Ordinary Differential Equations Not Absolutely Continuous Solutions |
| title_auth | Generalized Ordinary Differential Equations Not Absolutely Continuous Solutions |
| title_exact_search | Generalized Ordinary Differential Equations Not Absolutely Continuous Solutions |
| title_full | Generalized Ordinary Differential Equations Not Absolutely Continuous Solutions |
| title_fullStr | Generalized Ordinary Differential Equations Not Absolutely Continuous Solutions |
| title_full_unstemmed | Generalized Ordinary Differential Equations Not Absolutely Continuous Solutions |
| title_short | Generalized Ordinary Differential Equations |
| title_sort | generalized ordinary differential equations not absolutely continuous solutions |
| title_sub | Not Absolutely Continuous Solutions |
| topic | Mathematics MATHEMATICS / Differential Equations / Ordinary bisacsh Mathematik Differential equations Integral equations Verallgemeinerte Differentialgleichung (DE-588)4187509-6 gnd Henstock-Integration (DE-588)4159545-2 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| topic_facet | Mathematics MATHEMATICS / Differential Equations / Ordinary Mathematik Differential equations Integral equations Verallgemeinerte Differentialgleichung Henstock-Integration Gewöhnliche Differentialgleichung |
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