Constructing a solution in time semidiscretization method to an equation of vibrating string with an obstacle

DOI10.1016/j.na.2009.01.118zbMath1238.74029OpenAlexW2168700405MaRDI QIDQ419910

Koji Kikuchi

Publication date: 20 May 2012

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

Full work available at URL: http://hdl.handle.net/10297/5035

zbMATH Keywords

obstaclesecond order hyperbolic differential inequalitytime semidiscretization

Mathematics Subject Classification ID

Related Items (4)

A Crank-Nicolson type minimization scheme for a hyperbolic free boundary problem ⋮ A hyperbolic free boundary problem and its numerical and mathematical analysis ⋮ A variational scheme for hyperbolic obstacle problems ⋮ On the obstacle problem for fractional semilinear wave equations

Cites Work

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• Existence of solutions of some nonlinear wave equations
• On certain nonlinear differential equations of second order in time
• A hyperbolic problem of second order with unilateral constraints: The vibrating string with a concave obstacle
• An analysis of the nonlinear equation of motion of a vibrating membrane in the space of BV functions
• A remark on Dirichlet boundary condition for the nonlinear equation of motion of a vibrating membrane.
• Linear approximation for equations of motion of vibrating membrane with one parameter

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