Extremal Solutions to Periodic Boundary Value Problem of Nabla Integrodifferential Equation of Volterra Type on Time Scales

Abstract EN

We firstly establish some new theorems on time scales, and then, by employing them together with a new comparison result and the monotone iterative technique, we show the existence of extremal solutions to the following nabla integrodifferential periodic boundary value problem: u ∇ ( t ) = f ( t , u , ∫ 0 t g ( t , s ) ∇ s ) , t ∈ [ 0 , a ] T , u ( 0 ) = u ( ρ ( a ) ) , where T is a time scale.