Anton Zettl

Articles in Scholarly Journals [Incomplete List]

  1. Two-Interval Sturm–Liouville Operators in Direct Sum Spaces with Inner Product Multiples
    Results in Mathematics, vol. 50, no. 1-2, pp. 155–168, 2007
  2. Two-interval Sturm–Liouville operators in modified Hilbert spaces☆
    Journal of Mathematical Analysis and Applications, vol. 328, no. 1, pp. 390–399, 2007
  3. Geometric aspects of Sturm–Liouville problems III. Level surfaces of the nnth eigenvalue
    Journal of Computational and Applied Mathematics, vol. 208, no. 1, pp. 176–193, 2007
  4. Proceedings of the American Mathematical Society, vol. 135, no. 04, pp. 1129–1133, 2007
  5. Floquet theory for left-definite Sturm?Liouville problems
    Journal of Mathematical Analysis and Applications, vol. 305, no. 2, pp. 477–482, 2005
  6. Sturm-Liouville problems with singular non-selfadjoint boundary conditions
    Mathematische Nachrichten, vol. 278, no. 12-13, pp. 1509–1523, 2005
  7. Transactions of the American Mathematical Society, vol. 356, no. 01, pp. 135–158, 2004
  8. Singular left-definite Sturm?Liouville problems
    Journal of Differential Equations, vol. 206, no. 1, pp. 1–29, 2004
  9. Multiplicity of Sturm–Liouville eigenvalues
    Journal of Computational and Applied Mathematics, vol. 171, no. 1-2, pp. 291–309, 2004
  10. On some eigenvalue problems in fuel-cell dynamics
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 459, no. 2029, pp. 241–261, 2003
  11. Indefinite Sturm–Liouville problems
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 133, no. 03, p. 639, 2003
  12. Counting and computing eigenvalues of left-definite Sturm–Liouville problems
    Journal of Computational and Applied Mathematics, vol. 148, no. 1, pp. 65–75, 2002
  13. Sturm–Liouville Problems with Finite Spectrum
    Journal of Mathematical Analysis and Applications, vol. 263, no. 2, pp. 748–762, 2001
  14. Left-Definite Sturm–Liouville Problems
    Journal of Differential Equations, vol. 177, no. 1, pp. 1–26, 2001
  15. Algorithm 810: The SLEIGN2 Sturm-Liouville Code
    ACM Transactions on Mathematical Software, vol. 27, no. 2, pp. 143–192, 2001
  16. Inequalities and eigenvalues of Sturm-Liouville problems near a singular boundary
    Journal of Inequalities and Applications, vol. 6, no. 4, pp. 405–413, 2001
  17. The Friedrichs Extension of Singular Differential Operators
    Journal of Differential Equations, vol. 160, no. 2, pp. 404–421, 2000
  18. On a computer assisted proof of the existence of eigenvalues below the essential spectrum of the Sturm–Liouville problem
    Journal of Computational and Applied Mathematics, vol. 125, no. 1-2, pp. 385–393, 2000
  19. On the existence of an eigenvalue below the essential spectrum
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 455, no. 1986, pp. 2229–2234, 1999
  20. Dependence of the nth Sturm–Liouville Eigenvalue on the Problem
    Journal of Differential Equations, vol. 156, no. 2, pp. 328–354, 1999
  21. Inequalities among eigenvalues of Sturm–Liouville problems
    Journal of Inequalities and Applications, vol. 3, no. 1, pp. 25–43, 1999
  22. Dependence of Eigenvalues on the Problem
    Mathematische Nachrichten, vol. 188, no. 1, pp. 173–201, 1997
  23. Eigenvalues of Regular Sturm–Liouville Problems
    Journal of Differential Equations, vol. 131, no. 1, pp. 1–19, 1996
  24. Dependence of Eigenvalues of Sturm–Liouville Problems on the Boundary
    Journal of Differential Equations, vol. 126, no. 2, pp. 389–407, 1996
  25. SIAM Journal on Mathematical Analysis, vol. 26, no. 4, Article ID 0526052, 1995
  26. Symmetrical Differential Operators and Their Friedrichs Extension
    Journal of Differential Equations, vol. 115, no. 1, pp. 50–69, 1995
  27. Semi-boundedness of Ordinary Differential Operators
    Journal of Differential Equations, vol. 115, no. 1, pp. 24–49, 1995
  28. Eigenvalue and eigenfunction computations for Sturm-Liouville problems
    ACM Transactions on Mathematical Software, vol. 17, no. 4, pp. 491–499, 1991
  29. ALGORITHM 700: a Fortran software package for Sturm---Liouville problems
    ACM Transactions on Mathematical Software, vol. 17, no. 4, pp. 500–501, 1991
  30. Norm Inequalities for the Powers of a Matrix
    The American Mathematical Monthly, vol. 98, no. 6, p. 533, 1991
  31. Landau's Inequality for the Difference Operator
    Proceedings of the American Mathematical Society, vol. 104, no. 1, p. 201, 1988
  32. SIAM Journal on Mathematical Analysis, vol. 19, no. 5, Article ID 0519078, 1988
  33. Some comments on Sturm-Liouville eigenvalue problems with interior singularities
    ZAMP Zeitschrift f�r angewandte Mathematik und Physik, vol. 38, no. 6, pp. 813–838, 1987
  34. SIAM Journal on Mathematical Analysis, vol. 17, no. 4, Article ID 0517056, 1986
  35. Differential operators and quadratic inequalities with a degenerate weight
    Journal of Mathematical Analysis and Applications, vol. 98, no. 2, pp. 378–399, 1984
  36. SIAM Journal on Mathematical Analysis, vol. 15, no. 5, Article ID 0515072, 1984
  37. Singular Sturm?Liouville problems with nonnegative and indefinite weights
    Monatshefte f�r Mathematik, vol. 97, no. 3, pp. 177–189, 1984
  38. Weighted Landau inequalities
    Journal of Mathematical Analysis and Applications, vol. 95, no. 1, pp. 20–28, 1983
  39. Asymptotically constant functions and second order linear oscillation1
    Journal of Mathematical Analysis and Applications, vol. 93, no. 2, pp. 475–494, 1983
  40. Lower bounds for the spectrum of ordinary differential operators
    Journal of Differential Equations, vol. 48, no. 1, pp. 123–155, 1983
  41. Integral inequalities and second order linear oscillation
    Journal of Differential Equations, vol. 45, no. 1, pp. 16–33, 1982
  42. Discreteness conditions for the spectrum of ordinary differential operators*1
    Journal of Differential Equations, vol. 40, no. 1, pp. 53–70, 1981
  43. An Extension of the Hardy-Littlewood Inequality
    Proceedings of the American Mathematical Society, vol. 77, no. 1, p. 117, 1979
  44. Remarks on best constants for norm inequalities among powers of an operator
    Journal of Approximation Theory, vol. 26, no. 3, pp. 249–258, 1979
  45. Levinson's limit-point criterion and powers*1
    Journal of Mathematical Analysis and Applications, vol. 62, no. 3, pp. 629–639, 1978
  46. Separation for Differential Operators and the L p Spaces
    Proceedings of the American Mathematical Society, vol. 55, no. 1, p. 44, 1976
  47. General Theory of the Factorization of Ordinary Linear Differential Operators
    Transactions of the American Mathematical Society, vol. 197, p. 341, 1974
  48. Explicit Conditions for the Factorization of nth Order Linear Differential Operators
    Proceedings of the American Mathematical Society, vol. 41, no. 1, p. 137, 1973
  49. On the limit point classification of second order differential equations
    Mathematische Zeitschrift, vol. 132, no. 4, pp. 297–304, 1973
  50. Factorization and Disconjugacy of Third Order Differential Equations
    Proceedings of the American Mathematical Society, vol. 31, no. 1, p. 203, 1972
  51. Shorter Notes: Factorization of Differential Operators
    Proceedings of the American Mathematical Society, vol. 27, no. 2, p. 425, 1971
  52. Square Integrable Solutions of Ly = f(t, y)
    Proceedings of the American Mathematical Society, vol. 26, no. 4, p. 635, 1970
  53. SIAM Journal on Applied Mathematics, vol. 17, no. 6, Article ID 0117119, 1969
  54. SIAM Journal on Applied Mathematics, vol. 16, no. 4, Article ID 0116069, 1968
  55. Some Identities Related to Polya's Property W for Linear Differential Equations
    Proceedings of the American Mathematical Society, vol. 18, no. 6, p. 992, 1967
  56. The Lack of Self-Adjointness in Three Point Boundary Value Problems
    Proceedings of the American Mathematical Society, vol. 17, no. 2, p. 368, 1966
  57. Adjoint Linear Differential Operators
    Proceedings of the American Mathematical Society, vol. 16, no. 6, p. 1239, 1965