Blow up and asymptotic behavior of solutions for a p(x)-Laplacian equation with delay term and variable exponents
S. N. Antont︠s︡ev, Jorge Ferreira, Erhan Pışkın, Hazal Yüksekkaya, Mohammad Shahrouzi
Abstract
In this article, we consider a nonlinear p(x)-Laplacian equation with time delay and variable exponents. Firstly, we prove the blow up of solutions. Then, by applying an integral inequality due to Komornik, we obtain the decay result. For more information see https://ejde.math.txstate.edu/Volumes/2021/84/abstr.html
Topics & Concepts
MathematicsVariable (mathematics)Term (time)Nonlinear systemLaplace operatorFractional LaplacianMathematical analysisCritical exponentApplied mathematicsPure mathematicsPhysicsQuantum mechanicsGeometryScalingStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringNonlinear Differential Equations Analysis