000 01807nam a2200193 a 4500
020 _a9780070992566
020 _a0070992568
082 _a515.352
_bCOD
100 _aCoddington,Earl A.
245 _aTheory of Ordinary Differential Equations
260 _aNew Delhi :
_bTata McGraw-Hill,
_c1972.
300 _axii, 429 pages ;
500 _aIncludes Index
505 _a 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.
520 _aThis 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.
650 _aDifferential equations.
700 _aLevinson, Norman
942 _cREF
999 _c19485
_d19485