Boundary Value Problems From Higher Order Differential Equations
eBook - PDF

Boundary Value Problems From Higher Order Differential Equations

  1. 310 pages
  2. English
  3. PDF
  4. 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.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
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.

Table of contents

  1. CONTENTS
  2. PREFACE
  3. BOUNDARY VALUE PROBLENS FOR HIGHER ORDER DIFFERENTIAL EQUATIONS
  4. 1. SOME EXAMPLES
  5. 2. LINEAR PROBLEMS
  6. 3. GREEN'S FUNCTION
  7. 4. METHOD OF COMPLEMENTARY FUNCTIONS
  8. 5. METHOD OF ADJOINTS
  9. 6. METHOD OF CHASING
  10. 7. SECOND ORDER EQUATIONS
  11. 8. ERROR ESTIMATES IN POLYNOMIAL INTERPOLATION
  12. 9. EXISTENCE AND UNIQUENESS
  13. 10. PICARD'S AND APPROXIMATE PICARD'S METHOD
  14. 11. QUASILINEARIZATION AND APPROXIMATE QUASILINEARIZATION
  15. 12. BEST POSSIBLE RESULTS : WEIGHT FUNCTION TECHNIQUE
  16. 13. BEST POSSIBLE RESULTS : SHOOTING METHODS
  17. 14. MONOTONE CONVERGENCE AND FURTHER EXISTENCE
  18. 15. UNIQUENESS IMPLIES EXISTENCE
  19. 16. COMPACTNESS CONDITION AND GENERALIZED SOLUTIONS
  20. 17. UNIQUENESS IMPLIES UNIQUENESS
  21. 18. BOUNDARY VALUE FUNCTIONS
  22. 19. TOPOLOGICAL METHODS
  23. 20. BEST POSSIBLE RESULTS : CONTROL THEORY METHODS
  24. 2 1 . MATCHING METHODS
  25. 22. MAXIMAL SOLUTIONS
  26. 23. MAXIMUM PRINCIPLE
  27. 24. INFINITE INTERVAL PROBLEMS
  28. 25. EQUATIONS WITH DEVIATING ARGUMENTS
  29. NAME INDEX