Global existence of solutions for the viscoelastic Kirchhoff equation with logarithmic source terms

DOI10.1155/2020/7105387zbMath1441.35154OpenAlexW3014829902MaRDI QIDQ2175994

Ali Allahem, Nadia Mezouar, Salah Mahmoud Boulaaras

Publication date: 30 April 2020

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/7105387

zbMATH Keywords

Galerkin methodtime-varying delay

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Higher-order quasilinear hyperbolic equations (35L77)

Related Items (9)

Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay ⋮ Local existence for a viscoelastic Kirchhoff type equation with the dispersive term, internal damping, and logarithmic nonlinearity ⋮ Global existence, uniqueness and asymptotic behavior for a nonlinear viscoelastic problem with internal damping and logarithmic source term ⋮ Global existence, general decay and blow-up for a nonlinear wave equation with logarithmic source term and fractional boundary dissipation ⋮ Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping ⋮ Unnamed Item ⋮ Blow-up for a stochastic viscoelastic Lamé equation with logarithmic nonlinearity ⋮ A new result of stability for thermoelastic-Bresse system of second sound related with forcing, delay, and past history terms ⋮ Dynamical study of Lyapunov exponents for Hide's coupled dynamo model

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