
- 310 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Boundary Value Problems From Higher Order Differential Equations
About this book
Contents:
- Some Examples
- Linear Problems
- Green's Function
- Method of Complementary Functions
- Method of Adjoints
- Method of Chasing
- Second Order Equations
- Error Estimates in Polynomial Interpolation
- Existence and Uniqueness
- Picard's and Approximate Picard's Method
- Quasilinearization and Approximate Quasilinearization
- Best Possible Results: Weight Function Technique
- Best Possible Results: Shooting Methods
- Monotone Convergence and Further Existence
- Uniqueness Implies Existence
- Compactness Condition and Generalized Solutions
- Uniqueness Implies Uniqueness
- Boundary Value Functions
- Topological Methods
- Best Possible Results: Control Theory Methods
- Matching Methods
- Maximal Solutions
- Maximum Principle
- Infinite Interval Problems
- Equations with Deviating Arguments
Readership: Graduate students, numerical analysts as well as researchers who are studying open problems.
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Yes, you can access Boundary Value Problems From Higher Order Differential Equations by Ravi P Agarwal in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- CONTENTS
- PREFACE
- BOUNDARY VALUE PROBLENS FOR HIGHER ORDER DIFFERENTIAL EQUATIONS
- 1. SOME EXAMPLES
- 2. LINEAR PROBLEMS
- 3. GREEN'S FUNCTION
- 4. METHOD OF COMPLEMENTARY FUNCTIONS
- 5. METHOD OF ADJOINTS
- 6. METHOD OF CHASING
- 7. SECOND ORDER EQUATIONS
- 8. ERROR ESTIMATES IN POLYNOMIAL INTERPOLATION
- 9. EXISTENCE AND UNIQUENESS
- 10. PICARD'S AND APPROXIMATE PICARD'S METHOD
- 11. QUASILINEARIZATION AND APPROXIMATE QUASILINEARIZATION
- 12. BEST POSSIBLE RESULTS : WEIGHT FUNCTION TECHNIQUE
- 13. BEST POSSIBLE RESULTS : SHOOTING METHODS
- 14. MONOTONE CONVERGENCE AND FURTHER EXISTENCE
- 15. UNIQUENESS IMPLIES EXISTENCE
- 16. COMPACTNESS CONDITION AND GENERALIZED SOLUTIONS
- 17. UNIQUENESS IMPLIES UNIQUENESS
- 18. BOUNDARY VALUE FUNCTIONS
- 19. TOPOLOGICAL METHODS
- 20. BEST POSSIBLE RESULTS : CONTROL THEORY METHODS
- 2 1 . MATCHING METHODS
- 22. MAXIMAL SOLUTIONS
- 23. MAXIMUM PRINCIPLE
- 24. INFINITE INTERVAL PROBLEMS
- 25. EQUATIONS WITH DEVIATING ARGUMENTS
- NAME INDEX