General Decay for a Viscoelastic Equation of Variable Coefficients in the Presence of Past History with Delay Term in the Boundary Feedback and Acoustic Boundary Conditions
Sign Up to like & getrecommendations! Published in 2018 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-017-0137-y
Abstract: In this paper, we consider a viscoelastic equation of variable coefficients in the presence of infinite memory (past history) with nonlinear damping term and nonlinear delay term in the boundary feedback and acoustic boundary conditions.… read more here.
Keywords: equation variable; term; variable coefficients; history ... See more keywords
General decay and blowup of solutions for a degenerate viscoelastic equation of Kirchhoff type with source term
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124185
Abstract: Abstract In this work, we consider a nonlinear degenerate viscoelastic equation of Kirchhoff type with source term in a bounded domain. Under suitable assumptions on the relaxation functions g and M, we obtain global existence… read more here.
Keywords: type source; degenerate viscoelastic; viscoelastic equation; source term ... See more keywords
Existence, decay and blow-up results for a plate viscoelastic equation with variable-exponent logarithmic terms
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DOI: 10.2298/fil2420051s
Abstract: In the present study, we investigate the solution behavior for a class of fourth-order viscoelastic equation with variable-exponent logarithmic nonlinearities. First, we prove the global existence of solutions, and next, by constructing suitable auxiliary functionals,… read more here.
Keywords: equation variable; existence; variable exponent; viscoelastic equation ... See more keywords