# Ordinary Differential Equations

## Walter, Wolfgang

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Based on a translation of the 6th edition of Gewohnliche 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.

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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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## 1.Ordinary Differential Equations

Editore: Secaucus, New Jersey, U.S.A.: Springer Verlag (1998)
ISBN 10: 0387984593 ISBN 13: 9780387984599
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Descrizione libro Secaucus, New Jersey, U.S.A.: Springer Verlag, 1998. Soft cover. Condizione libro: 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 libro della libreria ABE-10870976939

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## 2.Ordinary Differential Equations

Editore: Secaucus, New Jersey, U.S.A.: Springer Verlag (1998)
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Descrizione libro Secaucus, New Jersey, U.S.A.: Springer Verlag, 1998. Soft cover. Condizione libro: New. Condizione sovraccoperta: New. 1st Edition. Low price guarantee! The book is the brand new international edition textbook with the different ISBN and cover design. The book main content black/white printed in full English as same as the corresponding original US edition. Fast shipments in one to two working days after the orders confirmed. Codice libro della libreria ABE-13396776768

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## 3.Ordinary Differential Equations (Hardback)

Editore: Springer-Verlag New York Inc., United States (1998)
ISBN 10: 0387984593 ISBN 13: 9780387984599
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Descrizione libro Springer-Verlag New York Inc., United States, 1998. Hardback. Condizione libro: New. 1998 ed.. 241 x 165 mm. Language: English . Brand New Book. Based on a translation of the 6th edition of Gewohnliche 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. Codice libro della libreria AAZ9780387984599

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## 4.Ordinary Differential Equations (Hardback)

Editore: Springer-Verlag New York Inc., United States (1998)
ISBN 10: 0387984593 ISBN 13: 9780387984599
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Descrizione libro Springer-Verlag New York Inc., United States, 1998. Hardback. Condizione libro: New. 1998 ed.. 241 x 165 mm. Language: English . Brand New Book. Based on a translation of the 6th edition of Gewohnliche 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. Codice libro della libreria AAZ9780387984599

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## 5.Ordinary Differential Equations

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ISBN 10: 0387984593 ISBN 13: 9780387984599
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Descrizione libro Springer-Verlag New York Inc. Hardback. Condizione libro: new. BRAND NEW, Ordinary Differential Equations, Wolfgang Walter, R. Thompson, Based on a translation of the 6th edition of Gewohnliche 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. Codice libro della libreria B9780387984599

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## 6.Ordinary Differential Equations

Editore: Springer-Verlag New York Inc. 1998-07-01, New York, NY (1998)
ISBN 10: 0387984593 ISBN 13: 9780387984599
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Descrizione libro Springer-Verlag New York Inc. 1998-07-01, New York, NY, 1998. hardback. Condizione libro: New. Codice libro della libreria 9780387984599

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## 7.Ordinary Differential Equations (Graduate Texts in Mathematics)

Editore: Springer (1998)
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Descrizione libro Springer, 1998. Condizione libro: New. book. Codice libro della libreria ria9780387984599_rkm

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## 8.Ordinary Differential Equations (Graduate Texts in Mathematics)

Editore: Springer (1998)
ISBN 10: 0387984593 ISBN 13: 9780387984599
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Descrizione libro Springer, 1998. Condizione libro: New. Develops the theory of initial-, boundary-, and eigen value problems, real and complex linear systems, asymptotic behavior and stability. This book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems and radially symmetric elliptic problems. Translator(s): Thompson, R. (Utah State University, USA). Series: Graduate Texts in Mathematics. Num Pages: 384 pages, biography. BIC Classification: PBKJ; PBKQ. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 241 x 165 x 26. Weight in Grams: 750. . 1998. 1998th Edition. Hardcover. . . . . . Codice libro della libreria V9780387984599

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## 9.Ordinary Differential Equations (Graduate Texts in Mathematics)

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ISBN 10: 0387984593 ISBN 13: 9780387984599
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Descrizione libro Springer. Condizione libro: New. Develops the theory of initial-, boundary-, and eigen value problems, real and complex linear systems, asymptotic behavior and stability. This book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems and radially symmetric elliptic problems. Translator(s): Thompson, R. (Utah State University, USA). Series: Graduate Texts in Mathematics. Num Pages: 384 pages, biography. BIC Classification: PBKJ; PBKQ. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 241 x 165 x 26. Weight in Grams: 750. . 1998. 1998th Edition. Hardcover. . . . . Books ship from the US and Ireland. Codice libro della libreria V9780387984599

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## 10.Ordinary Differential Equations (Graduate Texts in Mathematics) (Hardcover)

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Descrizione libro Condizione libro: New. Bookseller Inventory # ST0387984593. Codice libro della libreria ST0387984593

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