Forced nonlinear oscillations of elastic membranes
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Publication:867948
DOI10.1016/j.nonrwa.2005.09.006zbMath1121.35137OpenAlexW2071545131MaRDI QIDQ867948
Andras Balogh, Vladimir V. Varlamov
Publication date: 19 February 2007
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.09.006
Vibrations in dynamical problems in solid mechanics (74H45) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Membranes (74K15)
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Cites Work
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- An algorithm with ALGOL 60 program for the computation of the zeros of ordinary Bessel functions and those of their derivatives
- Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
- Modeling, analysis and control of dynamic elastic multi-link structures
- More results on the decay of solutions to nonlinear, dispersive wave equations
- Decay and scattering of small solutions of a generalized Boussinesq equation
- On the initial-boundary value problem for the damped Boussinesq equation
- Existence of periodic traveling wave solutions to the generalized forced Boussinesq equation
- Convolution of Rayleigh functions with respect to the Bessel index
- Long-time asymptotics for the nonlinear heat equation with a fractional Laplacian in a ball
- Inverse scattering and the boussinesq equation
- The initial-value problem for the Korteweg-de Vries equation
- Finite element Galerkin method for the “good” Boussinesq equation
- A Two-dimensional Boussinesq equation for water waves and some of its solutions
- Global Existence and Decay for Solutions to the “Bad” Boussinesq Equation in Two Space Dimensions
- Eigenvalues, and instabilities of solitary waves
- Instability and Blow-Up of Solutions to a Generalized Boussinesq Equation
- Asymptotic behavior of solutions of a generalized Boussinesq type equation
- The initial-value problem for the forced Korteweg-de Vries equation
- On the spatially two-dimensional Boussinesq equation in a circular domain
- Eigenfunction expansion method and the long-time asymptotics for the damped Boussinesq equation