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Singular perturbations of the Kirchhoff string equation

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Publication:1612600
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DOI10.1016/S0362-546X(01)00776-3zbMath1001.35011OpenAlexW2012585508MaRDI QIDQ1612600

Stefano Panizzi

Publication date: 25 August 2002

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/s0362-546x(01)00776-3


zbMATH Keywords

Cauchy-Dirichlet problemextensible beamnonlinear stringquasilinear integro-differential equation


Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Initial-boundary value problems for second-order hyperbolic equations (35L20) Singular perturbations in context of PDEs (35B25) Strings (74K05) Higher-order nonlinear hyperbolic equations (35L75)




Cites Work

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  • Perturbations singulières dans les problèmes aux limites et en contrôle optimal
  • Stability theory for an extensible beam
  • Initial-boundary value problems for an extensible beam
  • Singular perturbation of a nonlinear time-dependent problem in hilbert space
  • On the convergence of solutions of hyperbolic equations
  • The Cauchy problem for Kirchhoff equations
  • Convergence of singular perturbations of strongly damped nonlinear wave equations
  • On the Well-Posedness of the Kirchhoff String
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