Abstract
Exponential growth of solution with \(L_{p}\) -norm for class of non-linear viscoelastic wave equation with distributed delay term for large initial data
Highlights
In this work, we are concerned with a problem for a viscoelastic wave equation with strong damping, nonlinear source and distributed delay terms
We show the exponential growth of solution with
The well known "Growth" phenomenon is one of the most important phenomena of asymptotic behavior, where many researches omit from its study especially when it comes from the evolution problems
Summary
The well known "Growth" phenomenon is one of the most important phenomena of asymptotic behavior, where many researches omit from its study especially when it comes from the evolution problems. Abstract: In this work, we are concerned with a problem for a viscoelastic wave equation with strong damping, nonlinear source and distributed delay terms. We show the exponential growth of solution with Our problem (1) has been investigated by many authors and results on the local/global existence, and stability have been established.
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