Periodic solutions for nonlinear evolution equations with <i>p</i>(<i>x</i>)-growth structure
Abderrahim Charkaoui
Abstract
This work tackles a class of nonlinear periodic evolution equations having variable growth conditions. We propose a new formulation of the periodic problem into an equivalent fixed point problem in a suitable Banach space. By applying Leray Schauder's topological degree, we establish the existence and uniqueness of weak periodic solutions to the studied problems.
Topics & Concepts
UniquenessMathematicsBanach spaceNonlinear systemDegree (music)Class (philosophy)Fixed-point theoremMathematical analysisVariable (mathematics)Schauder fixed point theoremFixed pointSpace (punctuation)Applied mathematicsPure mathematicsPhysicsComputer scienceArtificial intelligencePicard–Lindelöf theoremQuantum mechanicsAcousticsOperating systemNonlinear Partial Differential EquationsNonlinear Differential Equations AnalysisAdvanced Mathematical Modeling in Engineering