Anti-periodic boundary value problems for first order impulsive functional differential equations

This paper is concerned with the existence and approximation of solutions for a class of first order impulsive functional differential equations with periodic boundary value conditions. A new comparison result is presented and the previous results are extended.

Further results on periodic boundary value problems for nonlinear first order impulsive functional differential equations

Two classes of multi-point BVPs for first order impulsive functional differential equations with nonlinear boundary conditions are studied.Sufficient conditions for the existence of at least one solution to these BVPs are established, respectively.Our results generalize and improve the known ones.Some examples are presented to illustrate the main results.

Boundary value problems for first order functional differential equations with impulsive integral conditions

Anti-periodic boundary value problems of second order impulsive differential equations

In this paper we study existence and uniqueness of solutions of boundary value problems for second order nonlinear delay differential equations. We transform the boundary value problem to an equivalent integral equation and then we use the Banach fixed point theorem and the notion of the Fréchet derivative.

OSCILLATIONS OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS GENERATED BY RETARDED ACTIONS

The functional abstract second order impulsive differential equation with state dependent delay is studied in this paper. First, we consider a second order system and use a control to determine the controllability result. Then, using Sadovskii’s fixed point theorem, we get sufficient conditions for the controllability of the proposed system in a Banach space. The major goal of this study is to demonstrate the controllability of an abstract second-order impulsive differential system with a state dependent delay mechanism. The wellposed condition is then defined. Next, we studied whether the defined problem is wellposed. Finally, we apply our results to examine the controllability of the second order state dependent delay impulsive equation.

In this paper, the fixed point theorem is applied to investigate the existence of solutions of Sturm-Liouville boundary value problems for nonlinear second order impulsive differential equations in Banach spaces.

An existence principle for boundary value problems for second order functional differential equations

Consider the delay – differential equation (1.1) − u ″ ( t ) = f ( t , u ( t ) , u t ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003067498/6ba0c26b-f086-40cc-86ed-1693dc596221/content/eq3042.tif"/>

Study of singular boundary value problems for second order impulsive differential equations

Using a new fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to nonlinear two-point boundary value problems for second-order impulsive differential equations with concave or convex nonlinearities.

Boundary value problems for equations of mixed type with multiple functional lead and lag are studied. General solutions of such equations are constructed. The problems are uniquely solvable.

A unified approach to study the existence and numerical solution of functional differential equation