We study box dimension, Minkowski content and Minkowski measurability of nonrectifiable,
smooth spiral trajectories of some dynamical systems in the plane. From this point of view …

Using fractal sets and Minkowski contents we extend the repertoire of Lebesgue integrable
functions to those with large singular sets. A new method of constructing fractal sets is …

Box dimension of spiral trajectories of some vector fields in &#x211D; <Superscript>3 </Superscript>
Page 1 QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 6, 251–272 (2005) ARTICLE NO …

Fractal analysis of spiral trajectories of some vector fields in R Page 1 CR Acad. Sci. Paris, Ser.
I 342 (2006) 959–963 http://france.elsevier.com/direct/CRASS1/ Dynamical Systems Fractal …

We describe a recent progress in finding optimal bounds of Hausdorff dimension of singular
sets of functions in Lebesgue spaces, Sobolev spaces, Bessel potential spaces, Besov …

The following generalization (for α= 2 we suppose that β= 2 and λ> 1/4), of the Riemann–
Weber version of Euler differential equation is introduced and it is considered together with a …

In the recent papers [8] and [10] a class of Carath é odory funct ions f (t, η, ξ) rapidly sign-
changing near the boundary point t= a, has been constructed so that the equation-(| y| p− 2 …

CroRIS - CROSBI Logo Ministarstvo znanosti i obrazovanja Logo Croris - Informacijski sustav
znanosti RH O CroRIS-u Pomoć Česta pitanja Upute za korištenje Kontakt Hr En Prijava Logo …

1.1. A short overview. We give a survey of recent results by the authors and their
collaborators concerning fractal analysis of trajectories of dynamical systems, oscillatory …

Singular Behaviour of Bounded Radially Symmetric Solutions of p - Laplace Nonlinear
Equation Page 1 Int. Journal of Math. Analysis, Vol. 3, 2009, no. 36, 1775 - 1788 Singular …