Spectral Theory of Differential Operators

I.W. Knowles,R.T. Lewis

• Publisher: North Holland
• Year: 1981
• ISBN:
  9780080871660
• Topic: Mathematics
• Subtopic: Mathematical Analysis
• Index: Mathematics

Spectral Theory of Differential Operators

Table of contents

• Front Cover
• Spectral Theory of Differential Operators
• Copyright Page
• Contents
• Chapter 1. Transformations of ordinary differential operators
• Chapter 2. Finiteness criteria for the negative spectrum and nonoscillation theory for a class of higher order Elliptic Operators
• Chapter 3. A class of limit-point criteria
• Chapter 4. Bounds for the linearly perturbed eigenvalue problem
• Chapter 5. Analysis of Boltzmann equations in Hilbert space by means of a non-linear eigenvalue property
• Chapter 6. Some partial differential operators with discrete spectra
• Chapter 7. Spectral theory for hermitean differential systems
• Chapter 8. Wirtinger inequalities, dirichlet functional inequalities, and the spectral theory of linear operators and relations
• Chapter 9. A survey of some recent results in transmutation
• Chapter 10. Spectral theory and unbounded obstacle scattering
• Chapter 11. Almost periodic solutions for infinite delay systems
• Chapter 12. A Schrödinger operator with an oscillating potential
• Chapter 13. On certain regular ordinary differential expressions and related operators
• Chapter 14. An eigenfunction expansion associated with a two-parameter system of differential equations
• Chapter 15. Distribution of eigenvalues of operators of schrödinger type
• Chapter 16. The local asymptotics of continuum eigenfunction expansions
• Chapter 17. Some open problems on asymptotics of m-coefficients
• Chapter 18. Singular linear ordinary differential equations with non-zero second auxiliary polynomial
• Chapter 19. Distribution of the eigenvalues of operators of schrödinger type
• Chapter 20. Higher dimensional spectral factorization with applications to digital filtering
• Chapter 21. The limit point-limit circle problem for nonlinear equations
• Chapter 22. A model problem for the linear stability of nearly parallel flow
• Chapter 23. Titchmarsh-Weyl theory for Hamiltonian systems
• Chapter 24. Two parametric eigenvalue problems of differential equations
• Chapter 25. Schrödinger operators in the low energy limit: some recent results in L2 (R4)
• Chapter 26. Long-time behavior of a nuclear reactor
• Chapter 27. Remarks on the selfadjointness and related problems for differential operators
• Chapter 28. A Weyl theory for a class of elliptic boundary value problems on a half-space
• Chapter 29. On the correctness of boundary conditions for certain linear differential operators
• Chapter 30. Index and nonhomogeneous conditions for linear manifolds
• Chapter 31. On the positive spectrum of schrödinger operators with long range potentials
• Chapter 32. The spectra of some singular elliptic operators of second order
• Chapter 33. Recapturing solutions of an elliptic partial differential equation
• Chapter 34. Fourth order inverse eigenvalue problems
• Chapter 35. Sturm theory in n-space
• Chapter 36. Selfadjointness of matrix operators
• Chapter 37. Spectral properties of some nonselfadjoint operators and some applications
• Chapter 38. Dirichlet solutions of fourth order differential equations
• Chapter 39. Spectral and scattering theory for propagative systems
• Chapter 40. Spectral analysis of multiparticle schrödinger operators. schrödinger operators with almost periodic potentils
• Chapter 41. Estimates for eigenvalues of the Laplacian on compact Riemannian manifolds
• Chapter 42. The square integrable span of locally square integrable functions
• Chapter 43. On a conditionally convergent dirichlet integral associated with a differential expression