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  • Produktbild: Dynamic Equations on Time Scales
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Dynamic Equations on Time Scales An Introduction with Applications

55,99 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

23.10.2012

Abbildungen

X, 358 p.

Verlag

Birkhäuser Boston

Seitenzahl

358

Maße (L/B/H)

25,4/17,8/2,1 cm

Gewicht

699 g

Auflage

Softcover reprint of the original 1st edition 2001

Sprache

Englisch

ISBN

978-1-4612-6659-4

Beschreibung

Rezension

"This would be an excellent book to use in a topics course on dynamic equations on time scales at the advanced undergraduate level and/or beginning graduate level."


—Zentralblatt Math


"The monograph under review comes at an excellent time in the rapid development of dynamic equations on time scales. Both authors are authorities in this field of study and they have produced an excellent introduction to it. Much of the material is accessible to upper-level undergraduate mathematics majors, and yet, the results and the techniques are pertinent to active researchers in the area."


—Mathematical Reviews

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

23.10.2012

Abbildungen

X, 358 p.

Verlag

Birkhäuser Boston

Seitenzahl

358

Maße (L/B/H)

25,4/17,8/2,1 cm

Gewicht

699 g

Auflage

Softcover reprint of the original 1st edition 2001

Sprache

Englisch

ISBN

978-1-4612-6659-4

Herstelleradresse

Springer-Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

Email: ProductSafety@springernature.com

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  • Produktbild: Dynamic Equations on Time Scales
  • Produktbild: Dynamic Equations on Time Scales
  • 1. The Time Scales Calculus.- 1.1. Basic Definitions.- 1.2. Differentiation.- 1.3. Examples and Applications.- 1.4. Integration.- 1.5. Chain Rules.- 1.6. Polynomials.- 1.7. Further Basic Results.- 1.8. Notes and References.- 2. First Order Linear Equations.- 2.1. Hilger's Complex Plane.- 2.2. The Exponential Function.- 2.3. Examples of Exponential Functions.- 2.4. Initial Value Problems.- 2.5. Notes and References.- 3. Second Order Linear Equations.- 3.1. Wronskians.- 3.2. Hyperbolic and Trigonometric Functions.- 3.3. Reduction of Order.- 3.4. Method of Factoring.- 3.5. Nonconstant Coefficients.- 3.6. Hyperbolic and Trigonometric Functions II.- 3.7. Euler-Cauchy Equations.- 3.8. Variation of Parameters.- 3.9. Annihilator Method.- 3.10. Laplace Transform.- 3.11. Notes and References.- 4. Self-Adjoint Equations.- 4.1. Preliminaries and Examples.- 4.2. The Riccati Equation.- 4.3. Disconjugacy.- 4.4. Boundary Value Problems and Green's Function.- 4.5. Eigenvalue Problems.- 4.6. Notes and References.- 5. Linear Systems and Higher Order Equations.- 5.1. Regressive Matrices.- 5.2. Constant Coefficients.- 5.3. Self-Adjoint Matrix Equations.- 5.4. Asymptotic Behavior of Solutions.- 5.5. Higher Order Linear Dynamic Equations.- 5.6. Notes and References.- 6. Dynamic Inequalities.- 6.1. Gronwall's Inequality.- 6.2. Holder's and Minkowski's Inequalities.- 6.3. Jensen's Inequality.- 6.4. Opial Inequalities.- 6.5. Lyapunov Inequalities.- 6.6. Upper and Lower Solutions.- 6.7. Notes and References.- 7. Linear Symplectic Dynamic Systems.- 7.1. Symplectic Systems and Special Cases.- 7.2. Conjoined Bases.- 7.3. Transformation Theory and Trigonometric Systems.- 7.4. Notes and References.- 8. Extensions.- 8.1. Measure Chains.- 8.2. Nonlinear Theory.- 8.3. Alpha Derivatives.- 8.4. Nabla Derivatives.- 8.5. Notes and References.- Solutions to Selected Problems.