Results 11 to 15 of about 15 (15)
A note on resonant frequencies for a system of elastic wave equations
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 64, Page 3485-3498, 2004., 2004 We present a rather simple proof of the existence of resonant frequencies for the direct scattering problem associated to a system of elastic wave equations with Dirichlet boundary condition. Our approach follows techniques similar to those in Cortés‐Vega (2003).
Luis A. Cortés-Vega
wiley +1 more source
Periodic solutions of nonlinear vibrating beams
Abstract and Applied Analysis, Volume 2003, Issue 14, Page 823-841, 2003., 2003 The aim of this paper is to prove new existence and multiplicity results for periodic semilinear beam equation with a nonlinear time‐independent perturbation in case the period is not prescribed. Since the spectrum of the linear part varies with the period, the solvability of the equation depends crucially on the period which can be chosen as a free ...
J. Berkovits, H. Leinfelder, V. Mustonen
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 2, Page 337-340, 1979., 1979 We show in this paper that the sequence {max|uk|}, where the uk are the eigenfunctions of the problem Δu + λu = 0 in D ⊂ Rn and u = 0 on ∂D, is not bounded generally if one imposes the norm ∫Du2p(x)dx = 1, p = (1), 2, 3, …. The same holds with the norm ∫D|gradu|2pdx = 1 when n > 4p − 1. On the other hand, if D ⊂ R2, resp.
Yves Biollay
wiley +1 more source
Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G'/G)-expansion method. [PDF]
Springerplus, 2013 Alam MN, Akbar MA.
europepmc +1 more source
On a two-phase size-structured population model with infinite states-at-birth and distributed delay in birth process. [PDF]
J Biol Dyn, 2014 Bai M, Xu S.
europepmc +1 more source