Functional Differential Equations
Springer-Verlag New York Inc.
978-0-387-90023-0 (ISBN)
- Titel erscheint in neuer Auflage
- Artikel merken
Hale Providence March 4, 1971 v TABLE OF CONTENTS 1. INTRODUCTION *****.*..**.*********.***..*.******.******.**.**.***.*** 1 2 * A GENERAL INITIAL VALUE PROBLEM 11 3 * EXISTENCE 13 4. CONTINUATION OF SOLUTIONS 16 CONTINUOUS DEPENDENCE AND UNIQUENESS 21 5.
1. Introduction.- 2. A General Initial Value Problem.- 3. Existence.- 4. Continuation of Solutions.- 5. Continuous Dependence and Uniqueness.- 6. Backward Continuation.- 7. Caratheodory Conditions.- 8. Remarks on the Map Defined by Solutions.- 9. Autonomous Systems.- 10. Definitions of Stability.- 11. Sufficient Conditions for Stability of General Systems.- 12. Sufficient Conditions for Instability.- 13. Stability in Autonomous Systems.- 14. An Example of Levin and Nohel.- 15. An Equation of Volterra.- 16. Nonhomogeneous Linear Systems.- 17. The "Adjoint" Equation and Representation of Solutions.- 18. Stability of Perturbed Systems.- 19. Linear Autonomous Equations. The Semigroup and Infinitesimal Generator.- 20. The Eigenvalues of a Linear Autonomous Equation. Decomposition of C.- 21. Decomposing C with the Adjoint Equation.- 22. Estimates on the Complementary Subspace.- 23. An Example.- 24. The Decomposition in the Variation of Constants Formula.- 25. Forced Linear Systems.- 26. The Saddle Point Property.- 27. A Fixed Point Theorem for Cones.- 28. A Periodicity Theorem for Functional Equations.- 29. The Equation $${/rm{/dot x}}/left( {/rm{t}} /right) = - /alpha {/rm{x}}/left( {{/rm{t}} - 1} /right)/left[ {{/rm{l}} + {/rm{x}}/left( {/rm{t}} /right)} /right]$$.- 30. The Equation $${/rm{/dot x}}/left( {/rm{t}} /right) = - /alpha {/rm{x}}/left( {{/rm{t}} - 1} /right)/left[ {{/rm{l}} + {/rm{x}}^2 /left( {/rm{t}} /right)} /right]$$.- 31. The Equation $${/rm{/ddot x}}/left( {/rm{t}} /right) + {/rm{f}}/left( {{/rm{x}}/left( {/rm{t}} /right){/rm{/dot x}}/left( {/rm{t}} /right)} /right) + {/rm{g}}/left( {{/rm{x}}/left( {{/rm{t}} - {/rm{r}}} /right)} /right) = 0$$.- 32. The "Adjoint" Equation for General Linear Systems.- 33. The True Adjoint of a Linear System.- 34. Boundary Value Problems.- 35. Linear Periodic Systems. General Theory.- 36. Decomposition of Linear Periodic Systems.- 37. Nondegenerate Periodic Orbits.- 38. Notes and Remarks.
Reihe/Serie | Applied Mathematical Sciences ; 3 |
---|---|
Zusatzinfo | biography |
Verlagsort | New York, NY |
Sprache | englisch |
Maße | 170 x 244 mm |
Gewicht | 450 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
ISBN-10 | 0-387-90023-3 / 0387900233 |
ISBN-13 | 978-0-387-90023-0 / 9780387900230 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
aus dem Bereich