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Generalized ordinary differential equations : not absolutely continuous solutions /
| Main Author: | |
|---|---|
| Format: | Printed Book |
| Language: | English |
| Published: |
Singapore ; Hackensack, N.J. :
World Scientific,
c2012.
|
| Series: | Series in real analysis ;
v. 11. |
| Subjects: |
Table of 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 [psi]₁, [psi]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 variables
- 15. 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 equations
- 25. 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.