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Sturm-Liouville Theory

Anton Zettl
Publisher: 
American Mathematical Society
Publication Date: 
2005
Number of Pages: 
328
Format: 
Hardcover
Series: 
Mathematical Surveys and Monographs 121
Price: 
84.00
ISBN: 
0-8218-3905-5
Category: 
Monograph
We do not plan to review this book.

Part 1. Existence and uniqueness problems

  • First order systems
  • Scalar initial value problems

Part 2. Regular boundary value problems

  • Two-point regular boundary value problems
  • Regular self-adjoint problems
  • Regular left-definite and indefinite problems

Part 3. Oscillation and singular existence problems

  • Oscillation
  • The limit-point, limit-circle dichotomy
  • Singular initial value problems

Part 4. Singular boundary value problems

  • Two-point singular boundary value problems
  • Singular self-adjoint problems
  • Singular indefinite problems
  • Singular left-definite problems

Part 5. Examples and other topics

  • Two intervals
  • Examples
  • Notation
  • Comments on some topics not covered
  • Open problems
  • Bibliography
  • Index

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