Delay dynamic double integral inequalities on time scales with applications
Sobia Rafeeq, Humaira Kalsoom, Sabir Hussain, Saima Rashid, Yu‐Ming Chu
Abstract
Abstract In the article, we present the explicit bounds for three generalized delay dynamic Gronwall–Bellman type integral inequalities on time scales, which are the unification of continuous and discrete results. As applications, the boundedness for the solutions of delay dynamic integro-differential equations with initial conditions is discussed.
Topics & Concepts
MathematicsUnificationDynamic equationOrdinary differential equationPartial differential equationApplied mathematicsInequalityType (biology)Delay differential equationDifferential (mechanical device)Mathematical analysisDifferential equationNonlinear systemComputer scienceBiologyQuantum mechanicsEcologyAerospace engineeringEngineeringPhysicsProgramming languageNonlinear Differential Equations AnalysisStability and Controllability of Differential EquationsDifferential Equations and Boundary Problems