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Theory of ordinary differential equations / Earl A. Coddington and Norman Levinson.

By: Contributor(s): Material type: TextTextPublication details: McGraw Hill Education (India) : New Delhi, 2016.Edition: Indian editionDescription: xii, 429 pages : illustrations ; 23 cmISBN:
  • 9780070992566
Subject(s): DDC classification:
  • 515.352 23 C669
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 of the first kind -- 5. Linear systems with isolated singularities: singularities of the second kind -- 6. Asymptotic behavior of linear systems containing a large parameter -- 7. Self-adjoint eigenvalue problems on a finite interval -- 8. Oscillation and comparison theorems for second-order linear equations and applications -- 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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Includes bibliographical references and 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 of the first kind --
5. Linear systems with isolated singularities: singularities of the second kind --
6. Asymptotic behavior of linear systems containing a large parameter --
7. Self-adjoint eigenvalue problems on a finite interval --
8. Oscillation and comparison theorems for second-order linear equations and applications --
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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