Theory of Ordinary Differential Equations

By: Coddington,Earl AContributor(s): Levinson, NormanMaterial type: TextTextPublication details: New Delhi : Tata McGraw-Hill, 1972Description: xii, 429 pagesISBN: 9780070992566; 0070992568 Subject(s): Differential equationsDDC classification: 515.352
Contents:
1. Existence and Uniqueness of Solutions -- 2. Existence and Uniqueness of Solutions (Continued) -- 3. Linear Differential Equations -- 4. Linear Systems with Isolated Singularities: Singularities -- 5. Linear Systems with Isolated Singularities: Singularities -- 6. Asymptotic Behavior of Linear System Containing a Large Parameter -- 7. Self-Adjoint Eigenvalue Problem on a Finite Interval -- 8. Oscillation and Comparison Theorems for Second-Order Linear Equations and Application -- 9. Singular Self-Adjoint Boundary-Value Problems For Second-Order Equations -- 10. Singular Self-Adjoint Boundary-Value Problems for nTh-Order Equations -- 11. Algebraic Properties of Linear Boundary-Value Problems on a Finite Interval -- 12. Non-Self-Adjoint Boundary-Value Problems -- 13. Asymptotic Behavior of Nonlinear Systems: Stability -- 14. Perturbation of Systems Having a Periodic Solution -- 15. Perturbation Theory of Two-Dimensional Real Autonomous Systems -- 16. The Poincare-Bendixson Theory of Two-Dimensional Autonomous Systems -- 17. Differential Equations on a Torus.
Summary: This book has development from courses given by the authors and probably contains more material than will ordinarily be covered in a one- year course. The selection of material is partly conditioned by the interests of the authors.
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Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
Reference Books Reference Books Main Library
Reference 		Reference 515.352 COD (Browse shelf(Opens below)) Available 008584
Lending Books Lending Books Main Library
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Includes Index

1. Existence and Uniqueness of Solutions --
2. Existence and Uniqueness of Solutions (Continued) --
3. Linear Differential Equations --
4. Linear Systems with Isolated Singularities: Singularities --
5. Linear Systems with Isolated Singularities: Singularities --
6. Asymptotic Behavior of Linear System Containing a Large Parameter --
7. Self-Adjoint Eigenvalue Problem on a Finite Interval --
8. Oscillation and Comparison Theorems for Second-Order Linear Equations and Application --
9. Singular Self-Adjoint Boundary-Value Problems For Second-Order Equations --
10. Singular Self-Adjoint Boundary-Value Problems for nTh-Order Equations --
11. Algebraic Properties of Linear Boundary-Value Problems on a Finite Interval --
12. Non-Self-Adjoint Boundary-Value Problems --
13. Asymptotic Behavior of Nonlinear Systems: Stability --
14. Perturbation of Systems Having a Periodic Solution --
15. Perturbation Theory of Two-Dimensional Real Autonomous Systems --
16. The Poincare-Bendixson Theory of Two-Dimensional Autonomous Systems --
17. Differential Equations on a Torus.

This book has development from courses given by the authors and probably contains more material than will ordinarily be covered in a one- year course. The selection of material is partly conditioned by the interests of the authors.

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