Publications In Peer Reviewed Journals:
1.Youssef
Raffoul, Inequalities That Lead To Exponential Stability And Instability In
Delay
Difference Equations, Journal of Inequalities in Pure and Applied Mathematics,
Vol. 10, iss.3, art, 70, 2009.
2. With Ruihua Liu,
Boundedness and Exponential Stability of Highly Nonlinear Stochastic
Differential
Equations, Electronic Journal of
Differential Equatiuons, Vol. 2009(2009),
No. 143, pp.1-10.
3.
Youssef Raffoul, Exponential Analysis of Solutions of Functional
Differential Equations With Unbounded Terms , Banach J. Math. Anal. 3 (2009),
No. 2, 28-41.
4.
With Murat Adivar, Stability and Periodicity in Dynamic Delay Equations,
Computer and Mathematics with Applications, (2009),
doi:10.1016/j.camwa.2009.03.065.
5.
With Eric Kaufmann and Nickolai Kosmatov, The Connection Between Boundedness and
Periodicity in Nonlinear Functional Neutral Dynamic Equations on a Time Scale,
Nonlinear Dynamics and Systems Theory, 9 (1) (2009) 89-98.
7.
Youssef Raffoul, Periodicity in Nonlinears Systems with Infinite Delay, Advances
of Dynamical Systems and Applications, Vol. 3. No. 1 (2008), pp. 185—194.
8.
With Murat Adivar, Existence Results for Periodic Solutions of Integro-Dynamic
Equations on Time Scales, Annali di
Mathematica Pura ed Applicata, DOI 10.1007/s10231-008-0088-Z .
9.
With Xin-yuan Liao and Shengfan
Zhou, On the Discrete-time Multi-species Competition-predation System
With Several Delays, Appl. Math. Lett. 21 (2008), No. 1, 15, pp.15—22.
10.
With Eric Kaufmann and Nickolai Kosmatov, Impulsive
Dynamic Equations on a Time Scale, Electronic Journal of Differential
Equations (2008), No. 67, 9 pp.
11.
With Eric Kaufmann and Nickolai Kosmatov, A Second Order Boundary Value Problem
With Impulsive Effects on an Unbounded Domain,
Nonlinear Analysis: Theory, Methods & Applications, Volume
69, Issue 9, 1 November 2008,
Pages 2924-2929.
12.
With Eric Kaufmann and Nickolai Kosmatov, Impulsive Dynamic Equations on a Time
Scale, Electron. J. Diff. Eqns. (2008), No. 67, 9 pp.
13.
With Eric Kaufmann, Periodicity and Stability in Neutral Nonlinear Dynamic
Equations with Functional Delay on a Time Scale, Electron. J. Diff. Eqns., Vol.
2007 (2007), No. 27, pp. 1-12
14.
Youssef Raffoul, Construction of Lyapunov Functionals in Functional Differential
Equations With Applications to Exponential Stability in Volterra Integro-Differential
Equations, The Australian Journal of Mathematical Analysis and Applications,
Volume 4 Issue 2, Article 9, pp. 1-13, 2007
15.
With Muhammad Islam, Periodic
Solutions of Neutral Nonlinear System of Differential Equations With Functional
Delay, Journal of Mathematical Analysis and Applications, 331 (2), p.1175-1186,
Jul 2007
16.
With Xin-yuan Liao, Asymptotic behavior of Positive Solutions of Second-Order
Nonlinear Difference Systems, Nonlinear Studies, Volume 14, Number 4, (2007),
pp.311-318.
17.
Youssef Raffoul, Positive Periodic Solutions in Neutral Nonlinear Differential
Equations, E. J. Qualitative Theory of Diff. Equ., No. 16. (2007), pp. 1-10.
18.
Youssef Raffoul, Boundedness and Exponential Asymptotic Stability in Dynamical
Systems with Applications to Nonlinear Differential Equations with Unbounded
Terms, Advances in Dynamical Systems and Applications, Volume 2, Number 1 June
(2007), pp. 107-121.
19.
With Eric Kaufmann, Stability in Neutral Nonlinear Dynamic Equations with
Functional Delay on a Time Scale with Functional Delay, Dynamic Systems and
Applications, 16 (2007), pp. 561-570.
20.
Youssef Raffoul, Stability and Periodicity in Completely Delayed Equations,
Journal of Mathematical Analysis and Applications, 324 (2006), pp. 1356-1362.
21.
With Eric Kaufmann, Periodic Solutions for a Neutral Nonlinear Dynamical
Equation on a Time Scale, Journal of Mathematical Analysis and Applications, 319
(2206) 315-325.
22.
With Elvan Akin-Bohner, Boundedness in Functional Dynamic Equations on Time
Scales, Advances in Difference Equations, Volume 2006, Art. ID 79689, Pages
1-18.
23.
With Eric Kaufmann, Discretization Scheme in Volterra Integro-Differential
Equations that Preserves Stability and Boundedness, Journal of Difference
Equations and Applications, 12 (2006), No. 7, 731-740.
24.
With Wan-Tong Li, and Xin-yuan Liao,
Boundedness in Nonlinear Functional Difference Equations Via Non-Negative
Lyapunov Functionals with Applications
to Volterra Discrete Systems, 13(2206), No.
1, 1-13.
25.
With Xin-yuan Liao,
Asypmtotic Behavior of Positive Solutions
of Second Order Nonlinear Difference Systems, Nonlinear
Studies, 13 (1) (2006), 1-14.
26.
With Muhammad Islam, Stability in Linear Volterra Integro-Differential Equations
with Nonlinear Perturbation, Journal of Integral Equations and
Applications, Vol. 17, No. 3, Fall
(2005).
27.
With Y. Dib and M. Maroun, Periodicity and Stability in Neutral Nonlinear
Differential Equations with Functional Delay, Electronic Journal of Differential
Equations, Vol. 2005 (2005), No. 142, pp. 1-11.
28.
Youssef Raffoul, Existence of Periodic Solutions in Neutral Nonlinear Difference
Systems with Delay, Journal of Difference
Equations and Applications, 2005, Vol.11, No.13, pp.1109-1118.
29.
Youssef Raffoul, Positive Periodic Solutions of Systems of Functional
Differential Equations, J. Korean Math. Soc. 42 (2005), No. 4, pp. 749-759.
30.
With Mariette Maroun, Periodic Solutions in Nonlinear Neutral Difference
Equations with Functional Delay, J. Korean Math. Soc. 42 (2005), No. 2,
255--268.
31.
With Christopher Tisdell, Positive Periodic Solutions of Functional Discrete
Systems and Population Models, Advances in Difference Equations Vol.3 (2005),
pp. 369-380.
32.
With Christopher Tisdell and Paul Eloe, Existence, Uniqueness and Constructive
Results for Delay Differential Equations, Electronic Journal of Differential
Equations, Vol. 2005 (2005), No. 121, pp. 1-11.
33.
With Allen Peterson, Exponential Stability of Dynamic Equations on Time Scales,
Advances in Difference Equations, Vol. 2
(2005), pp. 133-144.
34.
With Eric Kaufmann, Positive Solutions for a Nonlinear Functional Dynamical
Equation on a Time Scale, Nonlinear Analysis, Vol 62/7(2005), pp. 1267-1276.
35.
Youssef Raffoul, Boundedness in Nonlinear Functional Differential Equations with
Applications to Volterra Integro-Differential Equations, Journal of
Integral Equations
and Applications, Vol. 16, No. 4, Winter (2004).
36.
Youssef Raffoul, Periodicity in General Delay Nonlinear Difference Equations
Using Fixed Point Theory,
Journal of Difference Equations and
Applications, (2004). Vol. 10, pp.1229-1242.
37.
Youssef Raffoul, Stability in Neutral Nonlinear Differential Equations with
Functional Delays Using Fixed Point
Theory, Mathematical and Computer
Modeling, (2004). Vol. 40, pp.691-700.
38.
With Ruyun Ma, Positive Solutions of Three-Point Nonlinear Discrete Second Order
Boundary Value Problem, Journal of Difference Equations and Applications,
(2004), Vol. 10. No. 2, pp. 129-138.
39.
With Wan-Tong Li, Classification and Existence of Positive Solutions of Systems
of Volterra Nonlinear Difference Equations, Applied Mathematics And Computation,
155 (2004), 469-478.
40.
With Allan Peterson and Christopher Tisdell, Three Point Boundary Value Problems
on Time Scales, Journal of Difference Equations and Applications, (2004), Vol.
10. No. 9 pp. 843-849.
41.
With Eric Kaufmann, Eigenvalue Problems for a Three-Point Boundary Value Problem
on a Time Scale, Electronic Journal
of Qualitative Theory of Differential Equations, No. 2. (2004), pp. 1-10.
42.
Youssef Raffoul, Boundedness in Nonlinear Differential Equations, Nonlinear
Studies, Vol. 10. No. 4, pp. 343-350, (2003).
43.
Youssef Raffoul, General Theorems
for Stability and Boundedness for Nonlinear Functional Discrete Systems,
Journal of
Mathematical Analysis and
Applications, 279 (2003), pp. 639-650.
44.
Youssef Raffoul, Periodic Solutions in Neutral Nonlinear Differential Equations
with Functional Delay, Electronic Journal
of Differential Equations and Applications, Vol. 2003 (2003), No. 102, pp. 1-7.
45.
With Muhammad Islam, Exponential Stability in Nonlinear Difference Equations,
Journal of
Difference Equations and
Applications, (2003), Vol. 9, No. 9,
pp. 819 -825.
46.
With Youssef Dib, Boundedness and Stability in Nonlinear Discrete Systems with
Nonlinear Perturbation, Journal of Difference Equations and Applications, 2003,
Vol. 9, No. 9, pp. 853-862.
47.
With Muhammad Islam, Stability Properties of Linear Volterra Integro-Differential
Equations with Nonlinear Perturbations, Communications in Applied Analysis, Vol.
7, No. 3 (2003), pp. 405 -416.
48.
With Paul Eloe, and Muhammad Islam, Uniform Asymptotic Stability in Nonlinear
Volterra Discrete Systems, Special Issue
on Advances in Difference Equations IV, Computers and Mathematics with
Applications 45 (2003), pp. 1033-1039.
49.
Youssef Raffoul,
Positive Periodic Solutions of Nonlinear
Functional Difference Equations, Electronic Journal of Differential Equations
and Applications, Vol. 2002 (2002),
No. 55, pp. 1-8.
50.
With Touhid Khandaker, Stability Properties of Linear Volterra Discrete Systems
with Nonlinear Perturbation, Journal of Difference Equations and Applications,
(2002), Vol. 8, pp. 857-874.
51.
Youssef Raffoul, Uniform Asymptotic
Stability in Linear Volterra Systems with Nonlinear Perturbation,
International Journal of Differential
Equations, (2002), Vol. 6. No.1, pp. 19-28.
52.
Youssef Raffoul,
Positive Solutions of Three-Point
Nonlinear Second Order Boundary Value Problem, Electronic
Journal of Qualitative Theory of Differential Equations, No. 15, (2002), pp.
1-11.
53.
With Muhammad Islam, Uniform Asymptotic Stability in Linear Volterra Difference
Equations, Pan-American Mathematical Journal, 11 (2001), No. 1, pp. 61-73.
54.
With Paul Eloe, Denise Reid, and William
Yin, Positive Periodic Solutions of
Nonlinear Functional Difference Equations, Computers & Mathematics with
Applications, 42 (2001), pp. 639-646.
55.
Youssef Raffoul, T-Periodic Solutions and a Priori Bounds, Journal of
Mathematical and Computer Modeling 32 (2000), pp. 643-652.
56.
Youssef Raffoul, Periodic Solutions for Scalar and Vector Nonlinear Difference
Equations, Pan-American Mathematical Journal 9 (1999), No. 1, 97 – 111.
57.
Youssef Raffoul, Periodic Solutions for
Nonlinear Volterra Difference Equations with Infinite Delay,
International Journal of Nonlinear
Differential Equations, Volume 5, Nos. 1&2, pp. 25-33 (1999).
58.
Youssef Raffoul, Boundedness and Periodicity of Volterra Systems of Difference
Equations, Journal of Difference Equations and Applications, 1998, Vol. 4, pp.
381-393.
59.
With Wan-Tong Li, Classification of Positive Solutions of Nonlinear Systems of
Volterra Integral Equations, to appear in International Journal of Mathematical
Analysis.
60.
With Murat Adivar, Existence of Periodic Solutions in Totally Nonlinear Delay
Dynamic Equations, to appear in Electronic Journal of Qualitative Theory of
Differential equations.
61.
With
Eric Kaufmann and Nickolai Kosmatov, Positive Periodic Solutions In Neutral
Dynamic Equations on a Time Scale, to appear in Journal of Nonlinear Studies.
62.
With Wan-Tong Li, and Xin-yuan Liao,
Asymptotic Behavior of Solutions of a Class of Nonlinear Difference
Systems, to appear in International
Journal of Difference Equations.
63.
With Eric Kaufmann and Haiyan Wang,
Positive Periodic Solutions of Functional Dynamic Equations on a Time Scale,
to appear in Nonlinear Studies.
64.
Youssef Raffoul, Existence of Positive Periodic Solutions in Neutral Nonlinear
Equations with Functional Delay, in review.
65.
With Eric Yankson, Positive
Periodic Solutions in Nneutral Delay Difference Equations,
to appear in Advances in Dynamical Systems Applications.
66.
With Murat Adivar and Muhammad Islam, Existence of Periodic Solutions in Totally
Nonlinear delay Equations, in review.
67.
With Murat Adivar, Existence of Resolvent for Volterra Integral Equations on
Time Scales,
to appear in,
Bulletin of The Austratian Mathematical Society.
68.
With Joan Hoffacker, Functional Differential Equations on Periodic Time Scales
with Application to Population Models, to
appear in Functional Differential Equations.
69.
With Murat Adivar, Resolvent and Boundedness in Volterra Equations on Time
Scales,
i.
In review
70.
With Murat Adivar, Inequalities And Exponential Decay In Time Varying Delay
Differential Equations, in review.
71.
Youssef Raffoul, Discrete Population Models With Asymptotically Constant Or
Periodic Solutions, in review.
72.
With Megan Cable, Exponential Stability and Instability in Multiple Delay
Differential Equations, in review.
73.
With Elvan Akin Bohner and Christopher Tisdell, Exponential Stability in
Fucntional Dynamic Equations on Time Scales, In review,
Communications in Mathematical Analysis.
74.
With Murat Adivar, A note on [Comput.
Math. Appl., 58 (2009) 264-272], Submitted to Computers and Mathematics with
Applications.