In this paper, some attractivity results for fractional functional differential equations are obtained by using the fixed point theorem. By constructing equivalent fractional integral equations, research on the attractivity of fractional functional and neutral differential equations is skillfully converted into a discussion about the existence of fixed points for equivalent fractional integral ...

Global attractivity in a quadratic-linear rational difference equation with delay C.M. Kent & H. Sedaghat To cite this article: C.M. Kent & H. Sedaghat (2009) Global attractivity in a quadratic-linear rational difference equation with delay, Journal of Difference Equations and Applications, 15:10, 913-925, DOI: 10.1080/10236190802040992 To link to this article: http://dx.doi.org/10.1080/1023619...

Keywords: System of difference equations Global attractivity Eventually constant solutions Max-type difference equation a b s t r a c t Global attractivity results on positive solutions of some special cases of the next max-type system of difference equations

⎯ In this paper, the existence, uniqueness and global attractivity are discussed on almost periodic solution of SICNNs (shunting inhibitory cellular neural networks) with continuously distributed delays. By using the fixed point theorem, differential inequality technique and Lyapunov functional method, giving the new ranges of parameters, several sufficient conditions are obtained to ensure the...

The author analyzes the validity of use term “attractivity” in architectural accessories. aesthetic side phenomenon space is taken as a basis. As methodology for study attractivity, number methods are used that create primary explanatory formulations. conceptual content revealed. transdisciplinary approach led to consideration functional and semantic which reflects sphere shocking influences ar...

The dynamics of mechanical systems with dry friction elements, modeled by set-valued force laws, can be described by differential inclusions. The switching and set-valued nature of the friction force law is responsible for the hybrid character of such models. An equilibrium set of such a differential inclusion corresponds to a stationary mode for which the friction elements are sticking. The at...

A periodic delay single-species difference system with feedback control is established. With the help of analysis method and Lyapunov function, a good understanding of the permanence and global attractivity of the system is gained. Numerical simulations are presented to verify the validity of the proposed criteria. Our results show that feedback control has no influence on the permanence while ...

Recently, particular counterexamples were constructed to some theorems of a previous paper, concerning the global attractivity of the positive equilibrium for the delay equation 0096-3 doi:10 * Ad E-m _ pðtÞ 1⁄4 bp mðt sÞ 1þ pnðt sÞ cpðtÞ: The purpose of this note is to explore the underlying phenomenon from a more general point of view, and to give an explanation of the situation. A theorem is...

Using the concept of measure of noncompactness, we present some results concerning the existence, uniform local attractivity and global attractivity of solutions for a functional integral equation. Our results improve and extend some previous known results and based on weaker conditions. Some examples which show that our results are applicable when the previous results are inapplicable are also...

This paper is concerned with a n-species cooperation system with distributed delays and feedback controls on time scales. For general nonautonomous case, by using differential inequality theory and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence and the global attractivity of the system are obtained. For the almost periodic case, by using the Ra...