This study examines a wave equation within the framework of nonlinear viscoelasticity. Specifically, it considers a nonlinear, time‐varying delay feedback acting on the boundary, coupled with acoustic and fractional boundary… Click to show full abstract
This study examines a wave equation within the framework of nonlinear viscoelasticity. Specifically, it considers a nonlinear, time‐varying delay feedback acting on the boundary, coupled with acoustic and fractional boundary conditions, and influenced by a logarithmic source term. Under suitable general assumptions on the kernel, we first establish the global existence of solutions and subsequently analyze their asymptotic behavior.
Keywords:
acoustic fractional;
nonlinear time;
wave equation;
logarithmic source;
varying delay;
time varying
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2025
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2025
Link to full text (if available)
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recommendations!