Vibrations of elastic string with nonhomogeneous material

DOI10.1016/j.jmaa.2008.02.051zbMath1145.35435OpenAlexW2067540395MaRDI QIDQ929559

Luis Adauto da Justa Medeiros, Haroldo R. Clark, Juan Limaco

Publication date: 17 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.02.051

zbMATH Keywords

uniquenessKirchhoff equationFaedo-Galerkin methoddecay rate estimatestrong global solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Vibrations in dynamical problems in solid mechanics (74H45) Second-order nonlinear hyperbolic equations (35L70) Strings (74K05)

Related Items (14)

Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material ⋮ Existence results for some Kirchhoff-Carrier problems ⋮ Stabilization for the Kirchhoff type equation from an axially moving heterogeneous string modeling with boundary feedback control ⋮ Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities ⋮ On a low-frequency asymptotic expansion of a unique weak solutions of a semilinear wave equation with a boundary-like antiperiodic condition ⋮ A procedure for the Galerkin method for a vibrating system ⋮ Unnamed Item ⋮ Study of a nonlinear Kirchhoff equation with non-homogeneous material ⋮ On a nonlinear thermoelastic system with nonlocal coefficients ⋮ Positive solutions of logistic equations with dependence on gradient and nonhomogeneous Kirchhoff term ⋮ Kirchhoff-type system with linear weak damping and logarithmic nonlinearities ⋮ Exponential Decay for the Solution of the Viscoelastic Kirchhoff Type Equation with Memory Condition at the Boundary ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• On damped Kirchhoff equation with variable coefficients
• Global solvability and decay of the energy for the nonhomogeneous Kirchhoff equation
• Remark on the decay for damped string and beam equations
• ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
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