Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms

نویسندگان

چکیده

Abstract This work is devoted to studying a viscoelastic Kirchhoff-type equation with nonlinear boundary damping-source interactions in bounded domain. Under suitable assumptions on the kernel function g , density function, and M global existence general decay rate of solution are established. Moreover, we prove finite time blow-up result negative initial energy.

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ژورنال

عنوان ژورنال: Boundary Value Problems

سال: 2023

ISSN: ['1687-2770', '1687-2762']

DOI: https://doi.org/10.1186/s13661-023-01746-x