Dynamic analysis of a nonlinear Timoshenko equation
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Publication:554939
DOI10.1155/2011/724815zbMath1217.35184OpenAlexW2098685220WikidataQ58654423 ScholiaQ58654423MaRDI QIDQ554939
Publication date: 22 July 2011
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2011/724815
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) PDEs in connection with mechanics of deformable solids (35Q74)
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Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms, Global attractor for a nonlinear Timoshenko equation with source terms, Blow-up for the Timoshenko-type equation with variable exponents, Analysis of the nonlinear structural-acoustic resonant frequencies of a rectangular tube with a flexible end using harmonic balance and homotopy perturbation methods, Structural-electrical-coupled formulation for the free vibration of a piezoelectric-laminated plate using the analytical arbitrary quadrilateral \(p\) element, On a beam model with degenerate nonlocal nonlinear damping, Blow-up in damped abstract nonlinear equations, Unnamed Item, Existence and non-existence of solutions for Timoshenko-type equations with variable exponents
Cites Work
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- Global existence and blow up of solutions to systems of nonlinear wave equations with degenerate damping and source terms
- Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
- On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source
- Decay estimates for some semilinear damped hyperbolic problems
- Saddle points and instability of nonlinear hyperbolic equations
- On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations
- Existence and exponential decay for a Kirchhoff-Carrier model with viscosity
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Existence and asymptotic stability for evolution problems on manifolds with damping and source terms.
- Qualitative analysis of a nonlinear wave equation
- Existence and uniform decay for the Euler-Bernoulli viscoelastic equation with nonlocal boundary dissipation
- Blow up for nonlinear dissipative wave equations in \(\mathbb R^n\)
- A characterization of global and nonglobal solutions of nonlinear wave and Kirchhoff equations
- The dynamics of a nonlinear wave equation
- Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term
- Stability theory for an extensible beam
- Initial-boundary value problems for an extensible beam
- The influence of damping and source terms on solutions of nonlinear wave equations
- GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION
- Some remarks on the wave equations with nonlinear damping and source terms
- Blow-up of generalized solutions to wave equations with nonlinear degenerate damping and source terms
