Recent Developments in Sturm-Liouville Theory

This Book Provides A Modern Survey Of Some Basic Properties Of Sturm-liouville Problems And To Bring The Reader To The Forefront Of Knowledge Of Some Areas Of The Theory. For Example, Some Special Sturm-liouville Eigenvalue Problems Are Equivalent To Certain Jacobi And Cyclic Jacobi Matrix Eigenvalue Problems. A New Approach To Problems With Periodic Conditions Is Developed. Frontmatter -- Introduction -- Contents -- Part I: One-interval Problems -- 1 Classical Regular Self-adjoint Problems -- 2 Periodic Coefficients -- 3 Extensions Of The Classical Problem -- 4 Finite Spectrum -- 5 Inverse Sturm-liouville Problems With Finite Spectrum -- 6 Eigenvalues Below The Essential Spectrum -- 7 Spectral Parameter In The Boundary Conditions -- Part Ii: Two-interval Problems -- 8 Discontinuous Boundary Conditions -- 9 The Green's And Characteristic Functions -- 10 The Legendre Equation And Its Operators -- A Notation -- B Open Problems -- Bibliography -- Index Anton Zettl. Mode Of Access: Internet Via World Wide Web. In English.