Item Details

Generalized Ordinary Differential Equations [electronic resource]: Not Absolutely Continuous Solutions

Jaroslav Kurzweil
Format
EBook; Book; Online
Published
Singapore ; Hackensack, N.J. : World Scientific, c2012.
Language
English
Series
Series in Real Analysis
ISBN
9789814324021, 9814324027
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.
Description
Mode of access: World wide Web.
Notes
Includes bibliographical references (p. 193-194) and index.
Series Statement
Series in real analysis ; v. 11
Logo for Copyright Not EvaluatedCopyright Not Evaluated
Technical Details
  • Access in Virgo Classic

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