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Öğe BLOW UP OF SOLUTIONS FOR A PETROVSKY TYPE EQUATION WITH LOGARITHMIC NONLINEARITY(Korean Mathematical Soc, 2022) Ferreira, Jorge; Irkl, Nazl; Piskin, Erhan; Raposo, Carlos; Shahrouzi, MohammadThis paper aims to investigate the initial boundary value problem of the nonlinear viscoelastic Petrovsky type equation with nonlinear damping and logarithmic source term. We derive the blow-up results by the combination of the perturbation energy method, concavity method, and differential-integral inequality technique.Öğe Stability result for a kirchhoff beam equation with variable exponent and time delay(Emrah Evren KARA, 2022) Ferreira, Jorge; Pişkin, Erhan; Raposo, Carlos; Shahrouzi, Mohammad; Yüksekkaya, HazalThis paper is concerned with a stability result for a Kirchhoff beam equation with variable exponents and time delay. The exponential and polynomial stability results are proved based on Komornik’s inequality.