Some results, concerning the variation of eigenvalues, when these depend on a real parameter

References

• Akhiezer , N.I. 1965 . The classical moment problem and some related question in analysis . Oliver and Boyd ,
   Google Scholar
• Berezanskii , J.M. 1968 . Expanszons in Ezgenfunctions of Self-adjoint Operators . A.M.S Providen, RI.
   Google Scholar
• Courant , R. and Hilbert , D. 1953 . “ Methods of mathematical physics. ” . Vol. 1 , New York : nterscience Pub .
   Google Scholar
• Feynman , R.P. 1939 . Forces in Molecules . Phys. Rev , 56 : 340 – 343 .
   Google Scholar
• Flaschka , H. 1974 . The Toda lattice I.Existence of integrals . Phys. Rev. , 9 : 1924 – 1925 .
   Google Scholar
• Hellman , H. 1937 . Einfuhrung in die Quantenchemie . Deuticke, Vienna , 54 : 1937 Ch.8 Paragraph
   Google Scholar
• Ifantis , E.K. 1988 . A theorem concerning differentiability of eigenvectors and eigenwlues with some applications . Applicable Analysis , 25 : 257 – 283 .
   Google Scholar
• .Ifantis , E.K. and Kokologiannaki , C.G. 1993 . Location of the complex zeros of Bessel functions . Analysis und thre Andwendungen , 12 ( 4 ) : 605 – 612 . Zeitsfur
   Google Scholar
• Ifantis , E.K. and Panagopoulos , P.N. 1990 . Applications of the differentiability of eigenvectors and eigenvalues to a perturbed harmonic oscillator . J. Math, Phys. , 31 : 2410 – 2413 .
   Google Scholar
• Ifantis , E.K. and Siafarikas , P.D. 1985 . A differential equation for the zeros of Bessel functions . Applrcable Analysis , 20 : 269 – 281 .
   Web of Science ®Google Scholar
• Ifantis , E.K. and Siafarikas , P.D. 1986 . Ordering relations between the zeros of miscellaneous Bessel functions. . Applicable Analysis , 23 : 85 – 110 .
   Google Scholar
• Ifantis , E.K. and Siafarikas , P.D. 1992 . A differential equality for the positive zeros of Bessel functions . J. Comp. Appl. Math , 44 : 139,115 – 143,120 . Differential Inequality for the positive zeros of Bessel Functions,J. Comp. Appl. Math,30 ,1990
   Google Scholar
• Ifantis , E.K. , Siafarikas , P.D. and Kouris , C. 1984 . Conditions for solution of a linear First-Order Differential Equation in the Hardy-Lebesgue Space and Applications . Jour. Math. Anal. Appl. , 104 : 454 – 466 .
   Web of Science ®Google Scholar
• Ifantis , E.K. 1997 . A criterion for the nonuniqueness of the measure of orthogonality . J. Approx Theoroy , 89 : 207 – 218 .
   Google Scholar
• Karlin , S. and McGregor , J.L. 1958 . Many server queueing processes with Poisson input and exponential service times . Pacific J. Math , 8 : 87 – 118 .
   Google Scholar
• Moser , J. 1975 . Finitely many mass points on the under the influence of an exponential potential-an integrable system, in Dynarnical Systems Theory and Applications . Lectures Notes of Physics , 38 Heidelberg,Berlin
   Google Scholar
• Nikishin , E.M. and Sorokin , V.N. 1991 . Rational Approximation and orthogonality . Translation of Mathematical Monographs , 19 AMS
   Google Scholar
• Pauli , W. 1933 . Handbouch der Physik .
   Google Scholar
• Scweber , S. 1967 . On the applications of Bargmad Hilbert spaces to dynamical problems . Anals of Phys , 41 : 205 – 229 .
   Google Scholar