On Hyers-Ulam stability of a class of impulsive Hammerstein integral equations
Rahim Shah, Haleema Bibi, Natasha Irshad, Hajra Abbasi
Abstract
The objective of this study is to examine different types of stability results for a class of impulsive Hammerstein integral equations. We provide adequate conditions for achieving Hyers-Ulam and Hyers-Ulam-Rassias stability for impulsive Hammerstein integral equations. The consequent different cases of a finite interval and an infinite interval are studied. Finally, a concrete example is given at the end of this study for illustrations.
Topics & Concepts
MathematicsStability (learning theory)Interval (graph theory)Class (philosophy)Integral equationMathematical analysisApplied mathematicsCombinatoricsComputer scienceArtificial intelligenceMachine learningFunctional Equations Stability ResultsNonlinear Differential Equations AnalysisMathematical and Theoretical Analysis