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Generalized Ordinary Differential Equations : Not Absolutely Continuous Solutions.
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 sui...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific,
2012.
|
| Colección: | Series in real analysis.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Kurzweil, Jaroslav. | |
| 245 | 1 | 0 | |a Generalized Ordinary Differential Equations : |b Not Absolutely Continuous Solutions. |
| 260 | |a Singapore : |b World Scientific, |c 2012. | ||
| 300 | |a 1 online resource (208 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Series in Real Analysis | |
| 505 | 0 | |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. | |
| 520 | |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. | ||
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references (pages 193-194) and index. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Integral equations. | |
| 650 | 6 | |a Équations différentielles. | |
| 650 | 6 | |a Équations intégrales. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x Ordinary. |2 bisacsh | |
| 650 | 7 | |a Differential equations |2 fast | |
| 650 | 7 | |a Integral equations |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Kurzweil, Jaroslav. |t Generalized Ordinary Differential Equations : Not Absolutely Continuous Solutions. |d Singapore : World Scientific, ©2012 |z 9789814324021 |
| 830 | 0 | |a Series in real analysis. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=457174 |z Texto completo |
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