Periodic solutions for a neutral nonlinear dynamical equation on a time scale

ER Kaufmann, YN Raffoul - Journal of Mathematical Analysis and …, 2006 - Elsevier
Let T be a periodic time scale. We use a fixed point theorem due to Krasnosel'skiĭ to show
that the nonlinear neutral dynamic system with delay has a periodic solution. We assume …

Fixed points and stability of neutral stochastic delay differential equations

J Luo - Journal of Mathematical Analysis and Applications, 2007 - Elsevier
In this paper we consider a linear scalar neutral stochastic differential equation with variable
delays and give conditions to ensure that the zero solution is asymptotically mean square …

Fixed points and stability in linear neutral differential equations with variable delays

A Ardjouni, A Djoudi - Nonlinear Analysis: Theory, Methods & Applications, 2011 - Elsevier
In this paper we consider the asymptotic stability of a generalized linear neutral differential
equation with variable delays by using the fixed point theory. An asymptotic stability theorem …

Global attractivity for nonlinear fractional differential equations

F Chen, JJ Nieto, Y Zhou - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
We present some results for the global attractivity of solutions for fractional differential
equations involving Riemann–Liouville fractional calculus. The results are obtained by …

[PDF][PDF] Periodicity and stability in neutral nonlinear differential equations with functional delay.

YM Dib, MR Maroun, YN Raffoul - Electronic Journal of Differential …, 2005 - eudml.org
Line 1 d divided by dt x open parenthesis t closing parenthesis= minus a open parenthesis t
closing parenthesis x open parenthesis t closing parenthesis plus d divided by dt Q open …

[PDF][PDF] Fixed points and asymptotic stability of nonlinear fractional difference equations

F Chen - Electronic Journal of Qualitative Theory of Differential …, 2011 - real.mtak.hu
In this paper, we discuss nonlinear fractional difference equations with the Caputo like
difference operator. Some asymptotic stability results of equations under investigated are …

[PDF][PDF] Periodic solutions for neutral nonlinear differential equations with functional delay.

YN Raffoul - Electronic Journal of Differential Equations (EJDE) …, 2003 - eudml.org
We use Krasnoselskii's fixed point theorem to show that the nonlinear neutral differential
equation with functional delay x (t)=− a (t) x (t)+ c (t) x (t− g (t))+ q (t, x (t), x (t− g (t)) has a …

[HTML][HTML] Attractivity of fractional functional differential equations

F Chen, Y Zhou - Computers & Mathematics with Applications, 2011 - Elsevier
In this paper, some attractivity results for fractional functional differential equations are
obtained by using the fixed point theorem. By constructing equivalent fractional integral …

Fixed points and stability in neutral differential equations with variable delays

C Jin, J Luo - Proceedings of the American Mathematical Society, 2008 - ams.org
In this paper we consider a linear scalar neutral delay differential equation with variable
delays and give some new conditions to ensure that the zero solution is asymptotically …

[PDF][PDF] Existence of positive periodic solutions for a nonlinear neutral differential equation with variable delay

A Ardjouni, A Djoudi - Applied Mathematics E-Notes, 2012 - emis.de
Existence Of Positive Periodic Solutions For A Nonlinear Neutral Differential Equation With
Variable Delay" Page 1 Applied Mathematics E#Notes, 12(2012), 94#101 c ISSN 1607#2510 …