Nonlocal differential equations with (p,q)$ {(p,q)}$ growth
Christopher S. Goodrich
Abstract
Abstract The author considers a class of nonlocal convolution‐type ordinary differential equations of the form where is a continuous function satisfying growth — that is, there exist constants , and such that where . Existence of at least one positive solution to this equation when subjected to given boundary data is studied by means of topological fixed point theory.
Topics & Concepts
MathematicsOrdinary differential equationClass (philosophy)Mathematical analysisDifferential equationFunction (biology)Type (biology)Convolution (computer science)Boundary (topology)Pure mathematicsFixed pointEcologyArtificial intelligenceArtificial neural networkComputer scienceBiologyMachine learningEvolutionary biologyNonlinear Differential Equations AnalysisAdvanced Mathematical Modeling in EngineeringStability and Controllability of Differential Equations