Abstract
In this work we study existence and uniqueness of solutions to the abstract framework related to the Kirchhoff model for small deformations of a membrane \[ u'' +M ( \| u \| ^{2} ) Au+ F(u)+Au'=0, \] when $M$ is degenerate and $A,$ $F$ are operators. Furthermore, we obtain the asymptotic behavior, as $t \rightarrow\infty,$ of solutions in a concrete case.
Citation
F.D. Araruna. M.R. Clark. O.A. Lima. "On internal elastic membrane with strong damping." Differential Integral Equations 24 (7/8) 601 - 618, July/August 2011. https://doi.org/10.57262/die/1356628825
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