Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Youssef Raffoul"'
Publikováno v:
Symmetry, Vol 15, Iss 1, p 88 (2022)
In this paper, we aim to study the neutral-type delayed Caputo fractional differential equations of the form CDαxt−gt,xt=ft,xt,t∈t0,∞,t0≥0 with order 0<α<1, which can be used to describe the growth processes in real-life sciences at which t
Externí odkaz:
https://doaj.org/article/8d8c6ddbce5f4669b1ee76860c1ec832
Autor:
Youssef Raffoul, Ruihua Liu
Publikováno v:
Electronic Journal of Differential Equations, Vol 2009, Iss 143,, Pp 1-10 (2009)
In this article we consider nonlinear stochastic differential systems and use Lyapunov functions to study the boundedness and exponential asymptotic stability of solutions. We provide several examples in which we consider stochastic systems with unbo
Externí odkaz:
https://doaj.org/article/40ddb251650240ac9545a59b35cefc5c
Autor:
Murat Adıvar, Youssef Raffoul
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2009, Iss 1, Pp 1-20 (2009)
By means of a fixed point theorem we offer sufficient conditions for the existence of periodic solutions of totally nonlinear delay dynamic equations, where the solution maps a periodic time scale into another time scale.
Externí odkaz:
https://doaj.org/article/814673ecc0cd4c708026317b5c2c253f
Autor:
Youssef Raffoul
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2007, Iss 16, Pp 1-10 (2007)
We use Krasnoselskii's fixed point theorem to show that the nonlinear neutral differential equation with delay \begin{equation} \frac{d}{dt}[x(t) - ax(t-\tau)]= r(t)x(t)- f(t, x(t-\tau)) \end{equation} has a positive periodic solution. An example wil
Externí odkaz:
https://doaj.org/article/36f1c109ee974e3580b0bb2cb2360754
Autor:
E. Kaufmann, Youssef Raffoul
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2004, Iss 2, Pp 1-10 (2004)
Let $\mathbb{T}$ be a time scale such that $0, T \in \mathbb{T}$. We us a cone theoretic fixed point theorem to obtain intervals for $\lambda$ for which the second order dynamic equation on a time scale, \begin{gather*} u^{\Delta\nabla}(t) + \lambda
Externí odkaz:
https://doaj.org/article/d45473b29e114cdab00580496b2fb13d
Autor:
Youssef Raffoul
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2002, Iss 15, Pp 1-11 (2002)
In this paper we apply a cone theoretic fixed point theorem and obtain conditions for the existence of positive solutions to the three-point nonlinear second order boundary value problem $$ u''(t)+\lambda a(t)f(u(t)) = 0, \;\;\;t\in(0,1)$$ $$u(0)=0,\
Externí odkaz:
https://doaj.org/article/f3921fdfed8b4d779ae030412bd7804c
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2013 (2013)
Externí odkaz:
https://doaj.org/article/6ec1334e85764a6383660bea045e8e30
Publikováno v:
Symmetry; Volume 15; Issue 1; Pages: 88
In this paper, we aim to study the neutral-type delayed Caputo fractional differential equations of the form CDαxt−gt,xt=ft,xt,t∈t0,∞,t0≥0 with order 0
Publikováno v:
Symmetry; Volume 14; Issue 4; Pages: 686
We studied the asymptotic behavior of fourth-order advanced differential equations of the form aυw′′′υβ′+qυgwδυ=0. New results are presented for the oscillatory behavior of these equations in the form of Philos-type and Hille–Nehari o
Autor:
Youssef Raffoul
After many years of teaching graduate courses in applied mathematics, Youssef N. Raffoul saw a need among his students for a book reviewing topics from undergraduate courses to help them recall what they had learned, while his students urged him to p