Butakın, GülistanPişkin, Erhan2024-12-272024-12-272024Butakın, G. ve Pişkin, E. (2024). Existence and blow up of solutions of a viscoelastic m(x)-biharmonic equation with logarithmic source term. Miskolc Mathematical Notes, 25(2), 629-643.1787-2405http://mat76.mat.uni-miskolc.hu/mnotes/article/4843https://hdl.handle.net/11468/29315In this paper, we are concerned with a logarithmic nonlinear viscoelastic m(x)-biharmonic equation. Firstly, we proved the local existence of solutions by using the Faedo-Galerkin method. Later, we proved the blow up of solutions by using the concavity method.eninfo:eu-repo/semantics/openAccessBlow upExistenceLogarithmic termm(x)-biharmonic equationExistence and blow up of solutions of a viscoelastic m(x)-biharmonic equation with logarithmic source termExistence and blow up of solutions of a viscoelastic m(x)-biharmonic equation with logarithmic source termArticle2526296432-s2.0-85212324684Q2