THEORY OF ORDINARY DIFFERENTIAL EQUATIONS - EARL A. CODDINGTON (NEW DELHI MC GRAW HILL EDUCATION IPL, 2015)
Keywords: MATHEMATICS; CHAPTER 1. EXISTENCE AND UNIQUENESS OF SOLUTIONS CHAPTER 2. EXISTENCE AND UNIQUENESS OF SOLUTIONS (CONTINUED) CHAPTER 3. LINEAR DIFFERENTIAL EQUATIONS CHAPTER 4. LINEAR SYSTEMS WITH ISOLATED SINGULARITIES: SINGULARITIES CHAPTER 5. LINEAR SYSTEMS WITH ISOLATED SINGULARITIES: SINGULARITIES CHAPTER 6. ASYMPTOTIC BEHAVIOR OF LINEAR SYSTEM CONTAINING A LARGE PARAMETER CHAPTER 7. SELF-ADJOINT EIGENVALUE PROBLEM ON A FINITE INTERVAL CHAPTER 8. OSCILLATION AND COMPARISON THEOREMS FOR SECOND-ORDER LINEAR EQUATIONS AND APPLICATION CHAPTER 9. SINGULAR SELF-ADJOINT BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER EQUATIONS CHAPTER 10. SINGULAR SELF-ADJOINT BOUNDARY-VALUE PROBLEMS FOR NTH-ORDER EQUATIONS CHAPTER 11. ALGEBRAIC PROPERTIES OF LINEAR BOUNDARY-VALUE PROBLEMS ON A FINITE INTERVAL CHAPTER 12. NON-SELF-ADJOINT BOUNDARY-VALUE PROBLEMS CHAPTER 13. ASYMPTOTIC BEHAVIOR OF NONLINEAR SYSTEMS: STABILITY CHAPTER 14. PERTURBATION OF SYSTEMS HAVING A PERIODIC SOLUTION CHAPTER 15. PERTURBATION THEORY OF TWO-DIMENSIONAL REAL AUTONOMOUS SYSTEMS CHAPTER 16. THE POINCARE-BENDIXSON THEORY OF TWO-DIMENSIONAL AUTONOMOUS SYSTEMS CHAPTER 17. DIFFERENTIAL EQUATIONS ON A TORUS REFERENCES INDEX