Publication Cover
Applicable Analysis
An International Journal
Volume 28, 1988 - Issue 4
36
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

A theorem concerning differentiability of eigenvectors and eigenvales with some applications

Pages 257-283 | Received 19 Oct 1987, Published online: 10 May 2007

References

  • Courant , B. and Hilbert , D . 1953 . Methods of Mathematical Phys . Wiley-Interscience , 1
  • Ifantis , E.K. and Siafarikas , P.D . 1985 . A differential equation for the zeros of Bessel functions . Appl Anal , 20 : 269 – 281 .
  • Ifantis , E. K. , Siafarikas , P.D and KOURIS , C. B . 1984 . Conditions for solution of a linear first order differential equation in the Hardy-Lebesgue space and ao-lications . J. Math. Anal. APPI , 104 : 454 – 466 .
  • Rosenbloom , P. 1955 . Perturbation of linear operators in Banach space . Archiv. Math. VI , 104 : 89 – 101 .
  • Kato , T. 1976 . Perturbation Theory of Linear Operators , New York : Springer-Verlag .
  • Krein , M. G. 1955 . On certain problems on the maximum and minimum characteristic values and on Lyapunov zones on stability, Trans . Amer. Math.goc , 2 : 163 – 187 .
  • McKenna , P. J. and Lasiecka , J . 1984 . Some Perturbation results and their applications to Stabilization of hyperbolic systems . SIAM J. Math. Anal , 15 : 1140 – 1152 .
  • Musher , J. I. 1966 . Comment on some theorems of quantum chemistry . Amer.J. Phys , 94 : 267 – 288 .
  • Lewis , J.T. and Muldoon , M.E . 1977 . Monotonicity and concavity properties of Bessel functions . SIAM J. Math. Anal , 8 : 171 – 178 .
  • Ismail , M.E.H. 1987 . The variation of Zeros of Cer tain Polynomials . Advances APPI Math , 8 : 111 – 118 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.