This note deals with some variants of the integral mean value theorem. Mainly a variant of Sahoo's theorem and a variant of Wayment's theorem were proved. Our approach is rather elementary and does not use advanced techniques ...

In this note, some variants of Cauchy's mean value theorem are proved. The main tools to prove these results are some elementary auxiliary functions.

This paper deals with the surfaces of constant mean curvature in the Euclidean space. The first part of the text is devoted to minimal surfaces. We begin our studies with the Enneper-Weirstrass Representation Theorem and ...

In the present paper we obtain a new homological version of the implicit function theorem and some versions of the Darboux theorem. Such results are proved for continuous maps on topological manifolds. As a consequence. ...

The aim of this paper is to show a different presentation of the classical proof of the first part of Gerschgorin’s theorem. Besides for the second part of this theorem, there is a more straightforward and understandable ...

We show the intimate relationship between McNaughton Theorem and the Chinese Remaindner Theorem for MV-algebras. We develop a very short and simple proof of McNaughton Theorem. The arguing is elementary and right out of ...

© 2015 Elsevier Inc.We study differentiability properties in a particular case of the Palmer's linearization theorem, which states the existence of a homeomorphism H between the solutions of a linear ODE system having ...

We study differentiability properties in a particular case of the Palmer's linearization theorem, which states the existence of a homeomorpbism H between the solutions of a linear ODE system having exponential dichotomy ...