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- W3208360778 abstract "In this paper, we analyze a nonlinear abstract evolution equation with an infinite number of time-dependent time delays and a Lipschitz continuous nonlinear term. By using a fixed point argument, we prove the existence of a mild solution. This allows us to take into account also nonnegative time delays. Furthermore, by using Gronwall estimates, exponential decay of the solution is also proven under some smallness assumptions on the parameters appearing in the system and on the initial data. Finally, some examples are illustrated." @default.
- W3208360778 created "2021-11-08" @default.
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- W3208360778 date "2021-11-01" @default.
- W3208360778 modified "2023-10-16" @default.
- W3208360778 title "Exponential decay for nonlinear abstract evolution equations with a countably infinite number of time‐dependent time delays" @default.
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- W3208360778 doi "https://doi.org/10.1002/mma.7936" @default.
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