Publication Cover
Applicable Analysis
An International Journal
Volume 12, 1981 - Issue 1
22
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Original Articles

On generalised and quadratic eigenvalue problems

Pages 27-45 | Received 16 Apr 1980, Published online: 02 May 2007

References

  • Abramov , Y. 1973 . Variational principles for nonlinear eigenvalue problems . Functional Anal. Appl , 7 : 361 – 318 .
  • Atkinson , F. 1972 . Multiparameter Eigenvalue Problems, vol. 1 , Academic Press .
  • Binding , P. 1981 . Variational methods for one and several parameter nonlinear eigenvalue problems . Canad. J. Math ,
  • Browne , P. 1974 . Multiparameter spectral theory . Indiana Math. J , 24 : 249 – 257 .
  • Browne , P. 1977 . Abstract multiparameter theory I . J. Math. Anal. Appl. , 60 : 259 – 273 .
  • Duffm , R. 1955 . A minimax theory for overdamped networks . Arch. Rat. Mech. Anal , 4 : 221 – 233 .
  • Dunford , N. and Schwartz , J. 1963 . Linear Operators . Interscience , 2
  • Gokhberg , I. and Krein , M. 1969 . Introduction to the theory of linear nonself-adjoint operators . Amer. Math. Soc. Translations , 2
  • Kallstrom , A. and Sleeman , B. 1976 . A left-definite multiparameter eigenvalue problem in ordinary differential equations . Proc. Roy. Soc. Edin. , 74A : 145 – 155 .
  • Lancaster , P. 1966 . Lambda-Matrices and Vibrating Systems , Pergamon Press .
  • Peters , G. and Wilkinson , J. 1970 . Ax =λBx and the generalized eigenproblem . SI AM J. Numer. Anal. , 1 : 479 – 492 .
  • Roach , G. and Sleeman , B. 1977 . On the spectral theory of operator bundles . Applic. Anal , 1 : 1 – 14 .
  • Roach , G. and Sleeman , B. 1979 . On the spectral theory of operator bundles II . Applic. Anal , 9 : 29 – 36 .
  • Sleeman , B. 1978 . Multiparameter spectral theory in Hilbert space . J. Math. Anal. Appl , 65 : 511 – 530 .
  • Sleeman , B. 1978 . Multiparameter spectral theory in Hilbert space , Pitman Press .
  • Turner , R. 1967 . Some variational principles for a nonlinear eigenvalue problem . J. Math. Anal. Appl , 17 : 151 – 160 .
  • Turner , R. 1968 . A class of nonlinear eigenvalue problems . J. Functional Anal , 2 : 297 – 322 .
  • Weinberger , H. 1974 . Variational Methods for Eigenvalue Approximation . SI AM Regional Conference . 1974 .
  • Kiein and Langei . 1978 . On some mathematical principles m tne linear tueory Oi damped oscillations of continua I . integral Equations and Operator Theory , 1 : 364 – 399 .
  • Miiller , P.J. 1961 . Eigenwertabschatsungen fur Gleichungen vom Typ [λ2I-λ.A-B)X = 0 . Arch. Math. , 12 : 307 – 310 .

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