Sturm-Liouville Theory

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