Stabilization for the Kirchhoff type equation from an axially moving heterogeneous string modeling with boundary feedback control

DOI10.1016/j.na.2012.01.018zbMath1238.35153OpenAlexW2075727229MaRDI QIDQ413603

Daewook Kim, Sangil Kim, Il Hyo Jung

Publication date: 7 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.01.018

zbMATH Keywords

existenceasymptotic behaviorglobal solutiontransverse vibrationsFaedo-Galerkin approximationaxially moving heterogeneous stringCoriolis forcing term

Mathematics Subject Classification ID

Applications to the sciences (65Z05) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74) Strong solutions to PDEs (35D35)

Related Items (9)

Global existence and uniform decay rates for the semi-linear wave equation with damping and source terms ⋮ Positive solution for a superlinear Kirchhoff type problem with a parameter ⋮ Boundary energy control of a system governed by the nonlinear Klein-Gordon equation ⋮ Supercritical forced response of coupled motion of a nonlinear transporting beam ⋮ Stabilization of a nonlinear Kirchhoff equation by boundary feedback control ⋮ Unnamed Item ⋮ Exponential Decay for the Solution of the Viscoelastic Kirchhoff Type Equation with Memory Condition at the Boundary ⋮ Unnamed Item ⋮ Unnamed Item

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