We study measure functional differential equations and clarify their relation to generalized ordinary differential equations. We show that functional dynamic equations on time scales represent a special case of measure ...

We consider measure functional differential equations (we write measure FDEs) of the form Dx = f ('X IND. T', t)Dg, where f is Perron–Stieltjes integrable, 'X IND. T' is given by 'X IND. T'(θ) = x(t + θ), θ ∈ [−r, 0], with ...

In the present paper we give some necessary conditions that satisfy the solutions of an infinite system of ordinary differential equations. We investigate the behavior of the solutions of a general system of equations, ...

In this paper, we introduce a class of measure neutral functional differential equations of type through the relation with a certain class of eneralized ordinary differential equations introduced in Federson and Schwabik ...

This chapter aims to investigate the results on continuous dependence on parameters for generalized ordinary differential equations (ODEs) taking values in a Banach space. It includes a new result on the convergence of ...

This chapter presents the study of the stability theory for generalized ordinary differential equations (ODEs). The results on the stability of the trivial solution in the framework of the generalized ODE are inspired in ...

This chapter presents the concepts of uniform boundedness, quasiuniform boundedness, and uniform ultimate boundedness in the scenery of generalized ordinary differential equations (ODEs). It includes criteria of uniform ...

We establish general conditions for the unique solvability of nonlinear measure functional differential equations in terms of properties of suitable linear majorants.

In this paper we investigate the relationships between different concepts of stability in measure for the solutions of an autonomous or periodic neutral functional differential equation.