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
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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
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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
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Study of analytical method to seek for exact solutions of variant Boussinesq equations. [PDF]
Springerplus, 2014 Khan K, Akbar MA.
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Solitary wave solutions of the fourth order Boussinesq equation through the exp(-Ф(η))-expansion method. [PDF]
Springerplus, 2014 Akbar MA, Hj Mohd Ali N.
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New extended (G'/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation. [PDF]
Springerplus, 2014 Roshid HO +4 more
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Exact traveling wave solutions of modified KdV-Zakharov-Kuznetsov equation and viscous Burgers equation. [PDF]
Springerplus, 2014 Islam MH, Khan K, Akbar MA, Salam MA.
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Investigation of Solitary wave solutions for Vakhnenko-Parkes equation via exp-function and Exp(-ϕ(ξ))-expansion method. [PDF]
Springerplus, 2014 Roshid HO +3 more
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Exact traveling wave solutions for system of nonlinear evolution equations. [PDF]
Springerplus, 2016 Khan K, Akbar MA, Arnous AH.
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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.
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