• Produktbild: Focal Boundary Value Problems for Differential and Difference Equations
  • Produktbild: Focal Boundary Value Problems for Differential and Difference Equations
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Focal Boundary Value Problems for Differential and Difference Equations

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

07.12.2010

Verlag

Springer Netherland

Seitenzahl

294

Maße (L/B/H)

27,9/21/1,7 cm

Gewicht

755 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-90-481-5005-2

Beschreibung

Rezension

`
...will be useful for a graduate course concerned with boundary value problems for either differential equations or difference equations. It also would be an excellent book for mathematicians doing research in this area.
'

Mathematical Reviews, 99b

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

07.12.2010

Verlag

Springer Netherland

Seitenzahl

294

Maße (L/B/H)

27,9/21/1,7 cm

Gewicht

755 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-90-481-5005-2

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: GPSR Kontakt

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  • Produktbild: Focal Boundary Value Problems for Differential and Difference Equations
  • Produktbild: Focal Boundary Value Problems for Differential and Difference Equations
  • Preface. 1: Continuous Problems. 1.1. Introduction. 1.2. Abel-Gontscharoff Interpolation. 1.3. Solution of Linear Problems. 1.4. Existence and Uniqueness. 1.5. Picard's and Approximate Picard's Methods. 1.6. Quasilinearization and Approximate Quasilinearization. 1.7. Integro-Differential Equations. 1.8. Delay-Differential Equations. 1.9. Necessary and Sufficient Conditions for Right Disfocality. 1.10. Tests for Right and Eventual Disfocalities. 1.11. Green's Functions. 1.12. Monotone Convergence. 1.13. Uniqueness Implies Uniqueness. 1.14. Uniqueness Implies Existence. 1.15. Continuous Dependence and Differentiation with respect to Boundary Values. 1.16. Right Disfocality Implies Right Disfocality. 1.17. Right Disfocality Implies Existence. 1.18. Differential Inequalities Imply Existence. 1.19. Infinite Interval Problems. 1.20. Best Possible Results: Control Theory Methods. 1.21. Converse Theorems. 1.22. Focal Subfunctions. 1.23. Generalized Problem I. 1.24. Generalized Problem II. 1.25. A Singular Problem. 1.26. A Problem with Impulse Effects. Comments and Remarks. References. 2: Discrete Problems. 2.1. Introduction. 2.2. Discrete Abel-Gontscharoff Interpolation. 2.3. Existence and Uniqueness. 2.4. Picard's and Approximate Picard's Methods. 2.5. Quasilinearization and Approximate Linearization. 2.6. Necessary and Sufficient Conditions for Right Disfocality. 2.7. Tests for Right and Eventual Disfocalities. 2.8. Green's Functions. 2.9. Monotone Convergence. 2.10. Continuous Dependence and Differentiation with Respect to Initial and Boundary Values. 2.11. Differences with Respect to Boundary Points. 2.12. Uniqueness Implies Existence. 2.13. Generalized Problems. Comments and Remarks. References. Index.