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The paper deals with the existence of a global solution of a singular one‐dimensional viscoelastic system with a nonlinear source term, nonlocal boundary condition, and localized frictional damping a(x)ut using… Click to show full abstract
The paper deals with the existence of a global solution of a singular one‐dimensional viscoelastic system with a nonlinear source term, nonlocal boundary condition, and localized frictional damping a(x)ut using the potential well theory. Furthermore, the general decay result is proved. We construct a suitable Lyapunov functional and make use of the perturbed energy method.
Keywords:
system nonlinear;
viscoelastic system;
nonlinear source;
term nonlocal;
term;
source term
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
Link to full text (if available)
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
Link to full text (if available)
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recommendations!