Full averaging of fuzzy impulsive differential inclusions
Journal Title: Surveys in Mathematics and its Applications - Year 2010, Vol 5, Issue 0
Abstract
In this paper the substantiation of the method of full averaging for fuzzy impulsive differential inclusions is studied. We extend the similar results for impulsive differential inclusions with Hukuhara derivative (Skripnik, 2007), for fuzzy impulsive differential equations (Plotnikov and Skripnik, 2009), and for fuzzy differential inclusions (Skripnik, 2009).
Authors and Affiliations
Natalia Skripnik
Some fixed point results in Menger spaces using a control function
Here we prove a probabilistic contraction mapping principle in Menger spaces. This is in line with research in fixed point theory using control functions which was initiated by Khan et al. [Bull. Austral. Math. Soc., 30(...
Modeling Seasonal Time Series
The paper studies the seasonal time series as elements of a (finite dimensional) Hilbert space and proves that it is always better to consider a trend together with a seasonal component even the time series seams not to...
Representation Theorem for Stochastic Differential Equations in Hilbert Spaces and its Applications
In this survey we recall the results obtained in [Ungureanu,Electronic Journal of Qualitative Theory of Differential Equations, 2004] where we gave a representation theorem for the solutions of stochastic differential eq...
Degree of approximation of functions belonging to Lipα class and weighted (L<SUP>r</SUP>,ξ(t)) class by product summability method
A good amount of work has been done on degree of approximation of functions belonging to Lipα, Lip(α,r), Lip(ξ(t),r) and W(L<SUP>r</SUP>, ξ(t)) classes using Cesàro and (generalized) Nörlund single summabilit...
Shock Waves in Gas Dynamics
Shock wave theory was studied in literature by many authors. This article presents a survey with references about various topics related to shock waves: Hyperbolic conservation laws, Well-posedness theory, Compactness th...