Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On the well-posedness of the initial value problem for elastic-plastic oscillators with isotropic work-hardening

Author: Keming Wang
Journal: Quart. Appl. Math. 53 (1995), 551-558
MSC: Primary 73E50; Secondary 34A12, 34G20, 47H15, 47N20
DOI: https://doi.org/10.1090/qam/1343466
MathSciNet review: MR1343466
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Abstract: The system of differential equations of elastic-plastic oscillators with isotropic work-hardening is converted to a system of differential inclusions and well-posedness is established using maximal monotone operator theory when the external force $ f \in {W^{1, 1}}\left( 0, T; R \right)$. By a more delicate analysis, well-posedness is also established for $ f \in {L^1}\left( 0, T; R \right)$.

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Additional Information

DOI: https://doi.org/10.1090/qam/1343466
Article copyright: © Copyright 1995 American Mathematical Society

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