Approximation of eigenvalues and a Koehler's type method
Rendiconti del Seminario Matematico della Università di Padova, Tome 66 (1982), pp. 143-153.
@article{RSMUP_1982__66__143_0,
     author = {Davini, Cesare},
     title = {Approximation of eigenvalues and a {Koehler's} type method},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {143--153},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {66},
     year = {1982},
     mrnumber = {664578},
     zbl = {0483.35062},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1982__66__143_0/}
}
TY  - JOUR
AU  - Davini, Cesare
TI  - Approximation of eigenvalues and a Koehler's type method
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1982
SP  - 143
EP  - 153
VL  - 66
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_1982__66__143_0/
LA  - en
ID  - RSMUP_1982__66__143_0
ER  - 
%0 Journal Article
%A Davini, Cesare
%T Approximation of eigenvalues and a Koehler's type method
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1982
%P 143-153
%V 66
%I Seminario Matematico of the University of Padua
%U http://archive.numdam.org/item/RSMUP_1982__66__143_0/
%G en
%F RSMUP_1982__66__143_0
Davini, Cesare. Approximation of eigenvalues and a Koehler's type method. Rendiconti del Seminario Matematico della Università di Padova, Tome 66 (1982), pp. 143-153. http://archive.numdam.org/item/RSMUP_1982__66__143_0/

[1] V.V. Bolotin, Nonconservative problems of the theory of elastic stability, G. Hermann ed., Pergamon Press, Oxford (1963). | MR | Zbl

[2] C. Sensenig, Some buckling problems in nonlinear elasticity, in Bifurcation theory and nonlinear eigenvalue problems, J. B. Keller and S. Antman ed., W. A. Benjamin Inc., New York (1969). | MR | Zbl

[3] J.L. Ericksen, Bending a prism to helical form, Arch. Rational Mech. Anal., 66 (1977), pp. 1-18. | MR | Zbl

[4] J.E. Marsden - M. Mccracken, The Hopf bifurcation and its applications, Appl. Math. Sc., vol. 19, Springer-Verlag, New York (1976). | MR | Zbl

[5] P. Rabinowitz, Existence and nonuniqueness of rectangular solutions of the Benàrd problem, Arch. Rational Mech. Anal., 29 (1968), pp. 32-57. | MR | Zbl

[6] H.F. Weinberger, Variational methods for eigenvalue approximation, Reg. Conf. Series in Appl. Math., S.I.A.M., Philadelphia (1974). | MR | Zbl

[7] G. Temple, The computation of characteristic numbers and characteristic functions, Proc. London Math. Soc. II, 29 (1928), pp. 257-280. | JFM

[8] D.W. Fox - J.T. Stadter, An eigenvalue estimation method of Weinberger and Weinstein's intermediate problems, SIAM J. Math. Anal., 8 (1977), pp. 491-503. | MR | Zbl

[9] C. Davini, One-dimensional problems in the stability of thin shells, J. Elasticity, 10 (1980), pp. 241-254. | MR | Zbl

[10] F. Koehler, Estimates for the eigenvalues of infinite matrices, Pac. J. Math., 7 (1957), pp. 1391-1404. | MR | Zbl

[11] C. Davini, A Koehler's type method for the approximation of eigenvalues (to appear). | Zbl