A SEMILINEAR BEAM EQUATION WITH NONCONSTANT LOADS

Authors
CHOI QH JUNG T
Citation
Qh. Choi et T. Jung, A SEMILINEAR BEAM EQUATION WITH NONCONSTANT LOADS, Nonlinear analysis, 30(8), 1997, pp. 5515-5525
Citations number
8
Journal title
Nonlinear analysis → ACNP
ISSN journal
0362546X
Volume
30
Issue
8
Year of publication
1997
Pages
5515 - 5525
Database
ISI
SICI code
0362-546X(1997)30:8<5515:ASBEWN>2.0.ZU;2-D
Abstract
We investigate multiplicity of solutions u(x, t) for a piecewise linea r perturbation -(bu(+) - au(-)) of the one-dimensional beam operator u (tt) + u(xxxx) under Dirichlet boundary condition on the interval (-pi /2, pi/2) and periodic codition on the varible t. Our concern is to in vestigate multiplicity of solutions of the equation when the nonlinear ity crosses finite eigenvalues and the source term is generated by two eigenfunctions.