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On the solutions of a class of nonlinear functional integral quations in space C [0,a]

Özdemir İ., Çakan Ü.

Journal of Mathematics and Applications

2015

Vol. 38

105--114

The principal aim of this paper is to give sufficient conditions for solvability of a class of some nonlinear functional integral equations in the space of continuous functions defined on interval [0,a]. The main tool used in our study is associated with the technique of measures of noncompactness. We give also some examples satisfying the conditions of our main theorem but not satisfying the conditions in [8].

The Darboux property for polynomials in Golomb's and Kirch's topologies

Szczuka P.

Demonstratio Mathematica

2013

Vol. 46, nr 2

429--435

In this paper, we present conditions which are equivalent to the Darboux property for non-constant polynomials in Golomb's and Kirch's topologies on the set of positive integers.

On the products of bounded Darboux Baire one functions

Maliszewski A.

Journal of Applied Analysis

1999

Vol. 5, nr 2

171-185

It is shown that for each k > 1, if f is a Baire one function and f is the product of k bounded Darboux (quasi-continuous) functions, then f is the product of k bounded Darboux (quasi-continuous) Baire one functions as well.