Abstract
This paper studies the global existence of the classical solutions to the following problem:
This problem describes the nonlinear vibrations of finite rods with nonlinear viscoelasticity. Under certain conditions on σ and f, we obtained the unique existence of the global classical solution of this problem.
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Communicated by Chien Wei-zang
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Shang-bin, C., Chang-zheng, Q. Initial boundary value problems for a class of nonlinear integro-partial differential equations. Appl Math Mech 15, 389–404 (1994). https://doi.org/10.1007/BF02463718
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DOI: https://doi.org/10.1007/BF02463718