TY - JOUR
ID - 402
TI - A variational approach to the problem of oscillations of an
elastic half cylinder
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Hasansoy, M.
AD - Dogus University
Y1 - 2012
PY - 2012
VL - 38
IS - 1
SP - 223
EP - 240
KW - Propagating waves
KW - Eigenvalue
KW - variational principle
KW - critical point
DO -
N2 - This paper is devoted to the spectral theory (more precisely, tothe variational theory of the spectrum) of guided waves in anelastic half cylinder. We use variational methods to investigateseveral aspects of propagating waves, including localization (seeFigure 1), existence criteria and the formulas to find them. Weapproach the problem using two complementary methods: Thevariational methods for non-overdamped operator pencils todescribe eigenvalues in definite spectral zones, andLjusternik-Schnirelman critical point theory to investigateeigenvalues in the mixed spectral zone where the classicalvariational theory of operator pencils is not applicable.
UR - http://bims.iranjournals.ir/article_402.html
L1 - http://bims.iranjournals.ir/article_402_a5aba3e401d0e7ee3449edaa65081a67.pdf
ER -