Initial boundary value problems for a class of nonlinear integro-partial differential equations

DOI10.1007/BF02463718zbMath0807.45007OpenAlexW2052540616MaRDI QIDQ1333841

Chang-Zheng Qu, Shang-bin Cui

Publication date: 24 October 1994

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02463718

zbMATH Keywords

initial-boundary value problemglobal existenceclassical solutionsnonlinear viscoelasticitynonlinear integro-partial differential equationsnonlinear vibrations of finite rods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Vibrations in dynamical problems in solid mechanics (74H45) Dynamical problems in solid mechanics (74Hxx)

Cites Work

• Unnamed Item
• Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials
• Development of singularities in the motion of materials with fading memory
• On wave propagation in linear viscoelasticity
• Formation of singularities for wave equations including the nonlinear vibrating string
• Energy methods for nonlinear hyperbolic volterra integrodifferential equations
• Extensions of derivations II.
• A model for one-dimensional, nonlinear viscoelasticity

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