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Wolfgang Walter ORDINARY DIFFERENTIAL EQUATIONS Springer Hardcover 1998 VERYGOOD
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“Name in front, no other markings. Binding and hinges are excellent, minimal signs of use.”
- ¡Cómpralo ya!Wolfgang Walter ORDINARY DIFFERENTIAL EQUATIONS Springer Hardcover 1998 VERYGOOD
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Ubicado en: Birmingham, Alabama, Estados Unidos
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Entrega prevista entre el lun. 3 nov. y el vie. 7 nov. a 94104
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N.º de artículo de eBay:267267535953
Última actualización el 29 oct 2025 05:11:17 H.EspVer todas las actualizacionesVer todas las actualizaciones
Características del artículo
- Estado
- En muy buen estado
- Notas del vendedor
- “Name in front, no other markings. Binding and hinges are excellent, minimal signs of use.”
- Country of Origin
- United States
- Personalized
- No
- ISBN
- 9780387984599
Acerca de este producto
Product Identifiers
Publisher
Springer New York
ISBN-10
0387984593
ISBN-13
9780387984599
eBay Product ID (ePID)
294111
Product Key Features
Number of Pages
Xi, 384 Pages
Language
English
Publication Name
Ordinary Differential Equations
Subject
Differential Equations / General, Mathematical Analysis
Publication Year
1998
Type
Textbook
Subject Area
Mathematics
Series
Graduate Texts in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.3 in
Item Weight
57.1 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
98-004754
Dewey Edition
21
Series Volume Number
182
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515.352
Table Of Content
I. First Order Equations: Some Integrable Cases.- § 1. Explicit First Order Equations.- § 2. The Linear Differential Equation. Related Equations.- § 3. Differential Equations for Families of Curves. Exact Equations.- § 4. Implicit First Order Differential Equations.- II: Theory of First Order Differential Equations.- § 5. Tools from Functional Analysis.- § 6. An Existence and Uniqueness Theorem.- § 7. The Peano Existence Theorem.- § 8. Complex Differential Equations. Power Series Expansions.- § 9. Upper and Lower Solutions. Maximal and Minimal Integrals.- III: First Order Systems. Equations of Higher Order.- § 10. The Initial Value Problem for a System of First Order.- § 11. Initial Value Problems for Equations of Higher Order.- § 12. Continuous Dependence of Solutions.- § 13. Dependence of Solutions on Initial Values and Parameters.- IV: Linear Differential Equations.- § 14. Linear Systems.- § 15. Homogeneous Linear Systems.- § 16. Inhomogeneous Systems.- § 17. Systems with Constant Coefficients.- § 18. Matrix Functions. Inhomogeneous Systems.- § 19. Linear Differential Equations of Order n.- § 20. Linear Equations of Order nwith Constant Coefficients.- V: Complex Linear Systems.- § 21. Homogeneous Linear Systems in the Regular Case.- § 22. Isolated Singularities.- § 23. Weakly Singular Points. Equations of Fuchsian Type.- § 24. Series Expansion of Solutions.- § 25. Second Order Linear Equations.- VI: Boundary Value and Eigenvalue Problems.- § 26. Boundary Value Problems.- § 27. The Sturm--Liouville Eigenvalue Problem.- § 28. Compact Self-Adjoint Operators in Hilbert Space.- VII: Stability and Asymptotic Behavior.- § 29. Stability.- § 30. The Method of Lyapunov.- A. Topology.- B. Real Analysis.- C. C0111plex Analysis.- D. FunctionalAnalysis.- Solutions and Hints for Selected Exercises.- Literature.- Notation.
Synopsis
Develops the theory of initial-, boundary-, and eigenvalue problems, real and complex linear systems, asymptotic behavior and stability. Using novel approaches to many subjects, the book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems and radially symmetric elliptic problems. New proofs are given which use concepts and methods from functional analysis. Applications from mechanics, physics, and biology are included, and exercises, which range from routine to demanding, are dispersed throughout the text. Solutions for selected exercises are included at the end of the book. All required material from functional analysis is developed in the book and is accessible to students with a sound knowledge of calculus and familiarity with notions from linear algebra. This text would be an excellent choice for a course for beginning graduate or advanced undergraduate students., This unique treatment of ODEs emphasizes subjects outside of the mainstream and presents material in a carefully organized fashion with clear explanations and consistent motivation. It includes material seldom found in other books, including new proofs for basic theorems. Exercises as well as applications in varying fields are dispersed throughout., ORDINARY DIFFERENTIAL EQUATIONS develops the theory of initial-, boundary-, and eigenvalue problems, real and complex linear systems, asymptotic behavior and stability. Using novel approaches to many subjects, the book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems and radially symmetric elliptic problems. Applications from mechanics, physics, and biology are included, and exercises, which range from routine to demanding, are dispersed throughout the text.
LC Classification Number
QA299.6-433
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