A note on scalar Volterra integral equations, II

AbstractThe scalar Volterra integral equation u(t) + ∝0t g(t, s, u(s)) ds = ƒ(t) is studied on bounded intervals and on the half line. Conditions are given such that solutions u depend in a Lipschitz continuous way on ƒ in spaces W1,1([0,T],R). Also, conditions are given such that the operator (ƒ(0), ƒ′ (·)) at u(·) is order preserving. The results are applied to questions of uniform boundedness and asymptotic behavior of solutions