The purpose of this paper is to show that analogs of the existence results of solutions for differential problems proved in [10] hold for the corresponding difference equations.
Recently, operational matrices have been employed for solving several kinds of differential problems, namely ordinary differential equations, fractional differential equations and integro-differential equations.
The existence of positive solutions for singular fractional differential problem with infinite-point boundary conditions is established by height functions of the nonlinear term on some bounded sets.
In Section 2 we recall some basic definitions and preliminary results, while Section 3 is devoted to the existence of multiple solutions for the impulsive differential problem (1).
We established the existence of positive solutions for a fractional differential problem with integral boundary conditions by means of a (u_{0} -positive operator.
The same tool has also already been used for a Neumann nonlinear differential problem in [17] (see also [18, 19] and [20] for two-point and mixed problems).
Then there exists at least one global solution for the measure-driven differential problem (1).
Then there exists at least one solution for the measure-driven differential problem (1).
