Nonlinear boundary value problems for first order impulsive integro-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,

Nonlinear Three-Point Boundary Value Problems for First Order Impulsive Integro-Differential Equations of Mixed Type

In this paper, the method of upper and lower solutions and monotone iterative technique are employed to the study of nonlinear three-point boundary value problems for a class of first order impulsive integro-differential equations of mixed type. Sufficient conditions for the existence of extreme solutions are obtained. Mathematics Subject Classification: 34B37

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.

Nonlinear boundary value problems for first order impulsive functional differential equations

Periodic boundary value problems for second-order impulsive integro-differential equations

*Correspondence: [email protected] 1Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, 10520, Thailand 2Centre of Excellence in Mathematics, CHE, Sri Ayutthaya Road, Bangkok, 10400, Thailand Full list of author information is available at the end of the article Abstract This paper is concerned with the existence of extremal solution...