Introduction To Theory Of Ordinary Differential Equations
 ISBN: 9788120346666
 Author: DHARMAIAH, V.
 Number of Pages: 420
 Availability: In Stock
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About The Book Introduction To Theory Of Ordinary Differential Equations

Book Summary: 
This systematicallyorganized text on the theory of differential equations deals with the basic concepts and the methods of solving ordinary differential equations. Various existence theorems, properties of uniqueness, oscillation and stability theories, have all been explained with suitable examples to enhance students understanding of the subject. The book also discusses in sufficient detail the qualitative, the quantitative, and the approximation techniques, linear equations with variable and constants coefficients, regular singular points, and homogeneous equations with analytic coefficients. Finally, it explains Riccati equation, boundary value problems, the SturmLiouville problem, Greens function, the Picards theorem, and the SturmPicone theorem. The text is supported by a number of workedout examples to make the concepts clear, and it also provides a number of exercises help students test their knowledge and improve their skills in solving differential equations.

Table of Contents: 
Preface 1. PRELIMINARIES 2. EXISTENCE THEOREMS 3. ANALYTICAL METHODS 4. FIRST ORDER EQUATIONS 5. SYSTEMS OF EQUATIONS 6. LINEAR SYSTEMS 7. LINEAR EQUATIONS WITH VARIABLE COEFFICIENTS 8. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 9. LINEAR EQUATIONS WITH REGULAR SINGULAR POINTS 10. GENERALIZATION OF VARIATION OF PARAMETERS FORMULA 11. ADJOINT EQUATIONS 12. RICCATI EQUATION 13. BOUNDARY VALUE PROBLEMS 14. OSCILLATION THEORY (FOR LINEAR DIFFERENTIAL EQUATIONS OF ORDER TWO) 15. STABILITY THEORY 16. DELAY DIFFERENTIAL EQUATIONS Index 