In this paper we derive an existence theorem for the implicit defferential equation F(t, x,x') = 0 ; x(to) = are where F ...

Let X be a topological space. A category measure m on X is a countably aditive finite measure defined on the σ-algebra ...

Let ∑ be an infinite σ-field and denote by I ∞ 0 (∑) the space spanned by the characteristic functions of elements of ∑, endowed with the supremum norm. We prove that I ∞ 0 (∑) is not totally barrelled.

In this paper we study, for a given topological space the category base of the regular open sets. We apply the results to the study the Lebesgue's density topology in R.

Our aim in this paper is to give several new expressions for the kth-convergence exponent of a complex sequence, and an extension of this concept to a certain class of real functions.

For a map / of class two a sufficient condition is obtained to secure the existence of a zero of f in the simplex 5 if a ...

In this paper, we essay a generalization of the classical concept of growth order of an entire function. We define the new ...