A class of BVPS for first order impulsive functional integro-differential equations with a parameter

A class of BVPS for first order impulsive functional integro-differential equations with a parameter

Abstract This paper is concerned with a class of boundary value problems for the nonlinear impulsive functional integro-differential equations with a parameter by establishing new comparison principles and using the method of upper and lower solutions together with monotone iterative technique. Sufficient conditions are established for the existence of extremal system of solutions for the given...

Integral BVPs for a Class of First-Order Impulsive Functional Differential Equations

Impulsive Boundary-value Problems for First-order Integro-differential Equations

This article concerns boundary-value problems of first-order nonlinear impulsive integro-differential equations: y′(t) + a(t)y(t) = f(t, y(t), (Ty)(t), (Sy)(t)), t ∈ J0, ∆y(tk) = Ik(y(tk)), k = 1, 2, . . . , p,

MultiPoint BVPs for Second-Order Functional Differential Equations with Impulses

Nonlinear boundary value problems for first order integro-differential equations with impulsive integral conditions∗

This paper is concerned with the nonlinear boundary value problems for first order integro-differential equations with impulsive integral conditions. By using of the method of lower and upper solutions coupled with the monotone iterative technique, we give conditions for the existence of extremal solutions.