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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.
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Contenuti
I. First Order Equations: Some Integrable Cases.- § 1. Explicit First Order Equations.- § 2. The Linear Differential Equation. Related Equations.- Supplement: The Generalized Logistic Equation.- § 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.- Supplement: Singular Initial Value Problems.- § 7. The Peano Existence Theorem.- Supplement: Methods of Functional Analysis.- § 8. Complex Differential Equations. Power Series Expansions.- § 9. Upper and Lower Solutions. Maximal and Minimal Integrals.- Supplement: The Separatrix.- III: First Order Systems. Equations of Higher Order.- § 10. The Initial Value Problem for a System of First Order.- Supplement I: Differential Inequalities and Invariance.- Supplement II: Differential Equations in the Sense of Carathéodory.- § 11. Initial Value Problems for Equations of Higher Order.- Supplement: Second Order Differential Inequalities.- § 12. Continuous Dependence of Solutions.- Supplement: General Uniqueness and Dependence Theorems.- § 13. Dependence of Solutions on Initial Values and Parameters.- IV: Linear Differential Equations.- § 14. Linear Systems.- § 15. Homogeneous Linear Systems.- § 16. Inhomogeneous Systems.- Supplement:L1-Estimation of C-Solutions.- § 17. Systems with Constant Coefficients.- § 18. Matrix Functions. Inhomogeneous Systems.- Supplement: Floquet Theory.- § 19. Linear Differential Equations of Order n.- § 20. Linear Equations of Order nwith Constant Coefficients.- Supplement: Linear Differential Equations with Periodic 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.- Supplement I: Maximum and Minimum Principles.- Supplement II: Nonlinear Boundary Value Problems.- § 27. The Sturm—Liouville Eigenvalue Problem.- Supplement: Rotation-Symmetric Elliptic Problems.- § 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. Functional Analysis.- Solutions and Hints for Selected Exercises.- Literature.- Notation.
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Book by Walter Wolfgang
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Ordinary Differential Equations
Editore:
Secaucus, New Jersey, U.S.A.: Springer Verlag, 1998
ISBN 10: 0387984593
ISBN 13: 9780387984599
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Da: Sizzler Texts, SAN GABRIEL, CA, U.S.A.
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Soft cover. Condizione: New. Condizione sovraccoperta: New. 1st Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. Codice articolo ABE-10870976939
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Edizione Internazionale
Ordinary Differential Equations
Editore:
Springer, New York, NY, 1998
ISBN 10: 0387984593
ISBN 13: 9780387984599
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Trade paperback. Condizione: New in new dust jacket. First edition. INTERNATIONAL EDITION. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Sewn binding. Cloth over boards. 384 p. Contains: Illustrations, black & white. Graduate Texts in Mathematics, 182. Audience: General/trade. Codice articolo K5490000771
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Ordinary Differential Equations (Graduate Texts in Mathematics)
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Condizione: Good. [ No Hassle 30 Day Returns ][ Ships Daily ] [ Underlining/Highlighting: NONE ] [ Writing: NONE ] [ Edition: first ] Publisher: Springer Pub Date: 7/1/1998 Binding: Hardcover Pages: 400 first edition. Codice articolo 6831339
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Based on a translation of the 6th edition of Gewoehnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in tex. Codice articolo 5913312
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Ordinary Differential Equations
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Condizione: good. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers. Codice articolo 672577-5
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Ordinary Differential Equations (Graduate Texts in Mathematics, 182)
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Springer, New York, 1998
ISBN 10: 0387984593
ISBN 13: 9780387984599
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Hardcover. Condizione: Very Good. Condizione sovraccoperta: No Dust Jacket. Hardcover. Boards are unmarked, pages are clean, and the text and illustrations are clear. TH. Used. Codice articolo 531735
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Ordinary Differential Equations
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Based on a translation of the 6th edition of Gewöhnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in textbooks, such as new proofs for basic theorems. This unique feature of the book calls for a closer look at contents and methods with an emphasis on subjects outside the mainstream. Exercises, which range from routine to demanding, are dispersed throughout the text and some include an outline of the solution. Applications from mechanics to mathematical biology are included and solutions of selected exercises are found at the end of the book. It is suitable for mathematics, physics, and computer science graduate students to be used as collateral reading and as a reference source for mathematicians. Readers should have a sound knowledge of infinitesimal calculus and be familiar with basic notions from linear algebra; functional analysis is developed in the text when needed. 400 pp. Englisch. Codice articolo 9780387984599
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Ordinary Differential Equations
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Springer New York, Springer US Jul 1998, 1998
ISBN 10: 0387984593
ISBN 13: 9780387984599
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Buch. Condizione: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 400 pp. Englisch. Codice articolo 9780387984599
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Ordinary Differential Equations (Graduate Texts in Mathematics, 182)
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Ordinary Differential Equations
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Condizione: good. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers. Codice articolo 672577-5
Quantità: 1 disponibili