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## Elaydi, Saber Nasr

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 Author ID: elaydi.saber-nasr Published as: Elaydi, S.; Elaydi, S. N.; Elaydi, Saber; Elaydi, Saber N.; Elaydi, Saber Nasr
 Documents Indexed: 146 Publications since 1977, including 27 Books
all top 5

all top 5

#### Serials

 26 Journal of Difference Equations and Applications 10 Journal of Biological Dynamics 7 Journal of Mathematical Analysis and Applications 6 Nonlinear Analysis. Theory, Methods & Applications 5 Bulletin of the Australian Mathematical Society 5 Funkcialaj Ekvacioj. Serio Internacia 4 Applicable Analysis 4 Springer Proceedings in Mathematics & Statistics 3 Journal of Differential Equations 3 The Journal of the University of Kuwait. (Science) 3 Undergraduate Texts in Mathematics 2 Mathematica Japonica 2 Proceedings of the American Mathematical Society 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Computational Analysis and Applications 2 Discrete and Continuous Dynamical Systems. Series B 1 American Mathematical Monthly 1 Mathematical Biosciences 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Advances in Applied Mathematics 1 Libertas Mathematica 1 Physica D 1 Differential and Integral Equations 1 Panamerican Mathematical Journal 1 SIAM Review 1 The Canadian Applied Mathematics Quarterly 1 Differential Equations and Dynamical Systems 1 Mathematical Inequalities & Applications 1 Advanced Studies in Pure Mathematics 1 Fields Institute Communications 1 Lecture Notes in Pure and Applied Mathematics
all top 5

#### Fields

 82 Difference and functional equations (39-XX) 38 Dynamical systems and ergodic theory (37-XX) 30 Biology and other natural sciences (92-XX) 28 General topology (54-XX) 24 General and overarching topics; collections (00-XX) 23 Ordinary differential equations (34-XX) 8 Integral equations (45-XX) 8 Numerical analysis (65-XX) 5 Systems theory; control (93-XX) 3 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

103 Publications have been cited 2,084 times in 1,470 Documents Cited by Year
An introduction to difference equations. 3rd ed. Zbl 1071.39001
Elaydi, Saber N.
2005
An introduction to difference equations. Zbl 0840.39002
Elaydi, Saber N.
1996
An introduction to difference equations. 2nd ed. Zbl 0930.39001
Elaydi, Saber N.
1999
Global stability of periodic orbits of non-autonomous difference equations and population biology. Zbl 1067.39003
Elaydi, Saber; Sacker, Robert J.
2005
Discrete chaos. Zbl 0945.37010
Elaydi, Saber N.
2000
Periodicity and stability of linear Volterra difference systems. Zbl 0796.39004
Elaydi, Saber
1994
Nonautonomous Beverton-Holt equations and the Cushing-Henson conjectures. Zbl 1084.39005
Elaydi, Saber; Sacker, Robert J.
2005
Lipschitz stability of nonlinear systems of differential equations. Zbl 0595.34054
Dannan, Fozi M.; Elaydi, Saber
1986
Asymptotics for linear difference equations. I: Basic theory. Zbl 0954.39011
Elaydi, S.
1999
Stability and periodicity of difference equations with finite delay. Zbl 0819.39006
Elaydi, Saber; Zhang, Shunian
1994
Population models with Allee effect: a new model. Zbl 1342.92166
Elaydi, Saber N.; Sacker, Robert J.
2010
Exponential trichotomy of differential systems. Zbl 0651.34052
Elaydi, Saber; Hajek, O.
1988
Discrete chaos. With applications in science and engineering. 2nd ed. Zbl 1153.39002
Elaydi, Saber N.
2008
Periodic difference equations, population biology and the Cushing–Henson conjectures. Zbl 1105.39006
Elaydi, Saber; Sacker, Robert J.
2006
Asymptotic stability versus exponential stability in linear Volterra difference equations of convolution type. Zbl 0882.39005
Elaydi, Saber; Murakami, Satoru
1996
An extension of Levinson’s theorem to asymptotically Jordan difference equations. Zbl 0855.39003
Elaydi, S.
1995
An extension of Sharkovsky’s theorem to periodic difference equations. Zbl 1125.39001
Alsharawi, Ziyad; Angelos, James; Elaydi, Saber; Rakesh, Leela
2006
Global stability of cycles Lotka-Volterra competition model with stocking. Zbl 1048.39002
Elaydi, Saber; Yakubu, Abdul-Aziz
2002
Global stability of periodic orbits of nonautonomous difference equations in population biology and the Cushing-Henson conjectures. Zbl 1087.39504
Elaydi, Saber; Sacker, Robert J.
2005
Uniform asymptotic stability in linear Volterra difference equations. Zbl 0891.39013
Elaydi, S.; Murakami, S.
1998
Discrete competitive and cooperative models of Lotka–Volterra type. Zbl 1024.39003
Liu, Pingzhou; Elaydi, Saber N.
2001
Dichotomy and trichotomy of difference equations. Zbl 0914.39013
Elaydi, S.; Janglajew, K.
1998
Non-autonomous periodic systems with Allee effects. Zbl 1204.39016
Luís, Rafael; Elaydi, Saber; Oliveira, Henrique
2010
Asymptotic equivalence for difference equations with infinite delay. Zbl 0923.39004
Elaydi, Saber; Murakami, Satoru; Kamiyama, Etsuyo
1999
Periodic solutions to difference equations. Zbl 0953.39007
Dannan, F.; Elaydi, S.; Liu, P.
2000
Stability of a Ricker-type competition model and the competitive exclusion principle. Zbl 1236.92070
Luís, Rafael; Elaydi, Saber; Oliveira, Henrique
2011
Stability and asymptoticity of Volterra difference equations: a progress report. Zbl 1186.39023
Elaydi, Saber
2009
Exponential dichotomy and trichotomy of nonlinear differential equations. Zbl 0722.34053
Elaydi, Saber; Hájek, O.
1990
Asymptotic theory for delay difference equations. Zbl 0853.39004
Elaydi, S.; Györi, I.
1995
Difference equations from discretization of a continuous epidemic model with immigration of infectives. Zbl 1076.92047
Jang, Sophia; Elaydi, Saber
2003
Non-standard discretization methods for some biological models. Zbl 0989.65143
Al-Kahby, H.; Dannan, F.; Elaydi, S.
2000
Local stability implies global stability for the planar Ricker competition model. Zbl 1282.39016
Cabral Balreira, E.; Elaydi, Saber; Luís, Rafael
2014
Stability of hyperbolic and nonhyperbolic fixed points of one-dimensional maps. Zbl 1054.47043
Dannan, Fozi M.; Elaydi, Saber N.; Ponomarenko, Vadim
2003
On the stochastic Beverton-Holt equation with survival rates. Zbl 1144.39011
Bezandry, Paul H.; Diagana, Toka; Elaydi, Saber
2008
Population models in almost periodic environments. Zbl 1120.39017
Diagana, Toka; Elaydi, Saber; Yakubu, Abdul-Aziz
2007
On the computation of $$A^{n}$$. Zbl 0913.65037
Elaydi, Saber N.; Harris, William A. jun.
1998
Basin of attraction of periodic orbits of maps on the real line. Zbl 1050.37006
Elaydi, S.; Sacker, R.
2004
On a converse of Sharkovsky’s theorem. Zbl 0893.58024
Elaydi, Saber
1996
Competition models with Allee effects. Zbl 1291.39042
Livadiotis, G.; Assas, L.; Elaydi, S.; Kwessi, E.; Ribble, D.
2014
Open problems in some competition models. Zbl 1228.39001
Elaydi, Saber; Luís, Rafael
2011
Nonautonomous difference equations: open problems and conjectures. Zbl 1067.39002
Elaydi, Saber N.
2004
Difference equations versus differential equations, a possible equivalence for the Rössler system? Zbl 1056.39023
Letellier, Christophe; Elaydi, Saber; Aguirre, Luis A.; Alaoui, Aziz
2004
Bifurcation and invariant manifolds of the logistic competition model. Zbl 1244.39012
Guzowska, Malgorzata; Luís, Rafael; Elaydi, Saber
2011
On the asymptotic stability of linear Volterra difference equations of convolution type. Zbl 1146.39010
Elaydi, S.; Messina, E.; Vecchio, A.
2007
A unified approach to stability in integrodifferential equations via Liapunov functions. Zbl 0689.45016
Elaydi, Saber; Sivasundaram, S.
1989
Global stability of higher dimensional monotone maps. Zbl 1385.37034
Balreira, E. Cabral; Elaydi, Saber; Luís, Rafael
2017
A stochastic modified Beverton-Holt model with the Allee effect. Zbl 1346.39022
Assas, Laila; Dennis, Brian; Elaydi, Saber; Kwessi, Eddy; Livadiotis, George
2016
On some open problems in difference equations. Zbl 0966.39001
Elaydi, S.
2000
Stability of Volterra difference equations of convolution type. Zbl 0943.39500
Elaydi, Saber
1993
Lipschitz stability of nonlinear systems of differential equations. II: Lyapunov functions. Zbl 0729.34031
Dannan, Fozi M.; Elaydi, Saber
1989
Global dynamics of triangular maps. Zbl 1345.37025
Cabral Balreira, E.; Elaydi, Saber; Luís, Rafael
2014
Is the world evolving discretely? Zbl 1039.00005
Elaydi, Saber
2003
Difference equations in combinatorics, number theory, and orthogonal polynomials. Zbl 0941.39008
Elaydi, Saber
1999
Global stability of nonlinear delay difference equations. Zbl 0858.39005
Elaydi, Saber N.; Kocic, Vlajko L.; Li, Jia
1996
Global stability of a nonlinear Volterra difference system. Zbl 0868.39003
Elaydi, Saber N.; Kocic, Vlajko L.
1994
Poincaré types solutions of systems of difference equations. Zbl 1014.39008
Abu-Saris, Raghib; Elaydi, Saber; Jang, Sophia
2002
On weak isometries and their embeddings in flows. Zbl 0561.58040
Elaydi, Saber; Farran, Hani R.
1984
Stochastic modified Beverton-Holt model with Allee effect. II: The Cushing-Henson conjecture. Zbl 1345.39010
Assas, Laila; Dennis, Brian; Elaydi, Saber; Kwessi, Eddy; Livadiotis, George
2016
Asymptotic stability of linear difference equations of advanced type. Zbl 1088.39502
Dannan, Fozi M.; Elaydi, Saber N.
2004
An extension of chaotic dynamics to general topological spaces. Zbl 0965.37031
Awartani, M.; Elaydi, S.
2000
Periodic solutions of Volterra difference equations with infinite delay. II: The nonlinear case. Zbl 0860.39028
Elaydi, Saber N.; Zhang, Shunian
1995
Lipschitz stable dynamical systems. Zbl 0614.58028
Elaydi, Saber; Farran, H. R.
1985
Semidynamical systems with non unique global backward extensions. Zbl 0525.54028
Elaydi, Saber
1983
Theory and applications of difference equations and discrete dynamical systems. Proceedings of the 19th international conference on difference equations and applications, ICDEA, Muscat, Oman, May 26–30, 2013. Zbl 1297.39001
AlSharawi, Ziyad (ed.); Cushing, Jim M. (ed.); Elaydi, Saber (ed.)
2014
Asymptotics for linear difference equations: II: Applications. Zbl 1063.39004
Elaydi, S.
2002
Global stability of difference equations. Zbl 0843.39004
Elaydi, Saber
1996
Lipschitz stability for nonlinear Volterra integrodifferential systems. Zbl 0653.45008
Elaydi, Saber; Rama Mohana Rao, M.
1988
Flows of almost strong characteristic 0 with generative phase groups. Zbl 0495.54033
Elaydi, S.; Kaul, Saroop K.
1982
Towards a theory of periodic difference equations and its application to population dynamics. Zbl 1250.39011
Elaydi, Saber N.; Luís, Rafael; Oliveira, Henrique
2011
An economical model with Allee effect. Zbl 1173.91418
Luís, Rafael; Elaydi, Saber; Oliveira, Henrique
2009
Recent developments in the asymptotics of difference equations. Zbl 0938.39006
Elaydi, Saber
1999
Periodic solutions of Volterra difference equations with infinite delay. I: The linear case. Zbl 0860.39027
Elaydi, Saber N.; Zhang, Shunian
1995
Some remarks on nonlinear dichotomy and trichotomy. Zbl 0646.34064
Elaydi, Saber; Hájek, O.
1987
Semiflows with global extensions. Zbl 0602.54041
Elaydi, Saber; Kaul, Saroop K.
1986
On some stability notions in topological dynamics. Zbl 0507.54035
Elaydi, Saber
1983
On characteristic 0 and locally weakly almost periodic flows. Zbl 0495.54034
Elaydi, S.; Kaul, Saroop K.
1982
Weakly equicontinuous flows. Zbl 0486.54036
Elaydi, Saber
1981
Stability of integrodifferential systems of nonconvolution type. Zbl 0904.45003
Elaydi, S.
1998
Asymptotic theory for noninvertible systems. Zbl 0890.39009
Elaydi, Saber; Papaschinopoulos, Garyfalos; Schinas, John
1997
Asymptotic stability in general dynamical systems. Zbl 0708.34042
Elaydi, Saber; Kaul, Saroop K.
1989
Exponentially asymptotically stable dynamical systems. Zbl 0624.58018
Elaydi, Saber; Farran, Hani R.
1987
Stability of limit and prolongation sets in semiflows. Zbl 0622.54030
Elaydi, Saber; Kaul, Saroop K.
1987
Semidynamical systems with nonunique global backward extensions. II: The negative aspects. Zbl 0544.54036
Elaydi, Saber
1984
On equicontinuous transformation groups. Zbl 0459.54032
Elaydi, Saber
1981
The structure of $$\omega$$-limit sets of asymptotically non-autonomous discrete dynamical systems. Zbl 1436.37023
D’Aniello, Emma; Elaydi, Saber
2020
Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Zbl 1357.39001
Alsedà i Soler, Lluís (ed.); Cushing, Jim M. (ed.); Elaydi, Saber (ed.); Pinto, Alberto A. (ed.)
2016
A discrete-time host-parasitoid model with an Allee effect. Zbl 1448.92226
Livadiotis, G.; Assas, L.; Dennis, B.; Elaydi, S.; Kwessi, E.
2015
Stability and invariant manifolds of a generalized Beddington host-parasitoid model. Zbl 1448.92206
Kapçak, Sinan; Ufuktepe, Ünal; Elaydi, Saber
2013
Local bifurcation in one-dimensional nonautonomous periodic difference equations. Zbl 1270.39012
Elaydi, Saber; Luís, Rafael; Oliveira, Henrique
2013
Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Zbl 1117.39001
Elaydi, S. (ed.); Cushing, J. (ed.); Lasser, R. (ed.); Ruffing, A. (ed.); Papageorgiou, V. (ed.); Van Assche, W. (ed.)
2007
Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Zbl 1085.65001
Allen, Linda J. S. (ed.); Aulbach, Bernd (ed.); Elaydi, Saber (ed.); Sacker, Robert (ed.)
2005
Stability theory of Volterra difference equations. Zbl 1044.39003
Dannan, F.; Elaydi, S.; Li, P.
2003
Stability of integrodifferential systems of nonconvolution type. Zbl 0881.45008
Elaydi, S.
1995
Asymptotic stability of linear systems with infinite delay. Zbl 0796.34065
Elaydi, Saber
1991
On variation of equicontinuity in dynamical systems. Zbl 0703.54022
Elaydi, Saber; Farran, H. R.
1990
Nearly periodic dynamical systems. Zbl 0648.54032
1988
Some notions of stability in differential equations and dynamical systems. Zbl 0619.34051
Elaydi, Saber
1985
Exponential dichotomy of nonlinear systems of ordinary differential equations. Zbl 0582.34059
Elaydi, Saber; Hajek, O.
1985
Isometries and certain dynamical systems. Zbl 0605.58033
Elaydi, Saber; Farran, Hani R.
1984
Attraction in topological dynamics. Zbl 0488.58019
Elaydi, Saber
1984
The structure of $$\omega$$-limit sets of asymptotically non-autonomous discrete dynamical systems. Zbl 1436.37023
D’Aniello, Emma; Elaydi, Saber
2020
Global stability of higher dimensional monotone maps. Zbl 1385.37034
Balreira, E. Cabral; Elaydi, Saber; Luís, Rafael
2017
A stochastic modified Beverton-Holt model with the Allee effect. Zbl 1346.39022
Assas, Laila; Dennis, Brian; Elaydi, Saber; Kwessi, Eddy; Livadiotis, George
2016
Stochastic modified Beverton-Holt model with Allee effect. II: The Cushing-Henson conjecture. Zbl 1345.39010
Assas, Laila; Dennis, Brian; Elaydi, Saber; Kwessi, Eddy; Livadiotis, George
2016
Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Zbl 1357.39001
Alsedà i Soler, Lluís (ed.); Cushing, Jim M. (ed.); Elaydi, Saber (ed.); Pinto, Alberto A. (ed.)
2016
A discrete-time host-parasitoid model with an Allee effect. Zbl 1448.92226
Livadiotis, G.; Assas, L.; Dennis, B.; Elaydi, S.; Kwessi, E.
2015
Local stability implies global stability for the planar Ricker competition model. Zbl 1282.39016
Cabral Balreira, E.; Elaydi, Saber; Luís, Rafael
2014
Competition models with Allee effects. Zbl 1291.39042
Livadiotis, G.; Assas, L.; Elaydi, S.; Kwessi, E.; Ribble, D.
2014
Global dynamics of triangular maps. Zbl 1345.37025
Cabral Balreira, E.; Elaydi, Saber; Luís, Rafael
2014
Theory and applications of difference equations and discrete dynamical systems. Proceedings of the 19th international conference on difference equations and applications, ICDEA, Muscat, Oman, May 26–30, 2013. Zbl 1297.39001
AlSharawi, Ziyad (ed.); Cushing, Jim M. (ed.); Elaydi, Saber (ed.)
2014
Stability and invariant manifolds of a generalized Beddington host-parasitoid model. Zbl 1448.92206
Kapçak, Sinan; Ufuktepe, Ünal; Elaydi, Saber
2013
Local bifurcation in one-dimensional nonautonomous periodic difference equations. Zbl 1270.39012
Elaydi, Saber; Luís, Rafael; Oliveira, Henrique
2013
Stability of a Ricker-type competition model and the competitive exclusion principle. Zbl 1236.92070
Luís, Rafael; Elaydi, Saber; Oliveira, Henrique
2011
Open problems in some competition models. Zbl 1228.39001
Elaydi, Saber; Luís, Rafael
2011
Bifurcation and invariant manifolds of the logistic competition model. Zbl 1244.39012
Guzowska, Malgorzata; Luís, Rafael; Elaydi, Saber
2011
Towards a theory of periodic difference equations and its application to population dynamics. Zbl 1250.39011
Elaydi, Saber N.; Luís, Rafael; Oliveira, Henrique
2011
Population models with Allee effect: a new model. Zbl 1342.92166
Elaydi, Saber N.; Sacker, Robert J.
2010
Non-autonomous periodic systems with Allee effects. Zbl 1204.39016
Luís, Rafael; Elaydi, Saber; Oliveira, Henrique
2010
Stability and asymptoticity of Volterra difference equations: a progress report. Zbl 1186.39023
Elaydi, Saber
2009
An economical model with Allee effect. Zbl 1173.91418
Luís, Rafael; Elaydi, Saber; Oliveira, Henrique
2009
Discrete chaos. With applications in science and engineering. 2nd ed. Zbl 1153.39002
Elaydi, Saber N.
2008
On the stochastic Beverton-Holt equation with survival rates. Zbl 1144.39011
Bezandry, Paul H.; Diagana, Toka; Elaydi, Saber
2008
Population models in almost periodic environments. Zbl 1120.39017
Diagana, Toka; Elaydi, Saber; Yakubu, Abdul-Aziz
2007
On the asymptotic stability of linear Volterra difference equations of convolution type. Zbl 1146.39010
Elaydi, S.; Messina, E.; Vecchio, A.
2007
Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Zbl 1117.39001
Elaydi, S. (ed.); Cushing, J. (ed.); Lasser, R. (ed.); Ruffing, A. (ed.); Papageorgiou, V. (ed.); Van Assche, W. (ed.)
2007
Periodic difference equations, population biology and the Cushing–Henson conjectures. Zbl 1105.39006
Elaydi, Saber; Sacker, Robert J.
2006
An extension of Sharkovsky’s theorem to periodic difference equations. Zbl 1125.39001
Alsharawi, Ziyad; Angelos, James; Elaydi, Saber; Rakesh, Leela
2006
An introduction to difference equations. 3rd ed. Zbl 1071.39001
Elaydi, Saber N.
2005
Global stability of periodic orbits of non-autonomous difference equations and population biology. Zbl 1067.39003
Elaydi, Saber; Sacker, Robert J.
2005
Nonautonomous Beverton-Holt equations and the Cushing-Henson conjectures. Zbl 1084.39005
Elaydi, Saber; Sacker, Robert J.
2005
Global stability of periodic orbits of nonautonomous difference equations in population biology and the Cushing-Henson conjectures. Zbl 1087.39504
Elaydi, Saber; Sacker, Robert J.
2005
Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Zbl 1085.65001
Allen, Linda J. S. (ed.); Aulbach, Bernd (ed.); Elaydi, Saber (ed.); Sacker, Robert (ed.)
2005
Basin of attraction of periodic orbits of maps on the real line. Zbl 1050.37006
Elaydi, S.; Sacker, R.
2004
Nonautonomous difference equations: open problems and conjectures. Zbl 1067.39002
Elaydi, Saber N.
2004
Difference equations versus differential equations, a possible equivalence for the Rössler system? Zbl 1056.39023
Letellier, Christophe; Elaydi, Saber; Aguirre, Luis A.; Alaoui, Aziz
2004
Asymptotic stability of linear difference equations of advanced type. Zbl 1088.39502
Dannan, Fozi M.; Elaydi, Saber N.
2004
Difference equations from discretization of a continuous epidemic model with immigration of infectives. Zbl 1076.92047
Jang, Sophia; Elaydi, Saber
2003
Stability of hyperbolic and nonhyperbolic fixed points of one-dimensional maps. Zbl 1054.47043
Dannan, Fozi M.; Elaydi, Saber N.; Ponomarenko, Vadim
2003
Is the world evolving discretely? Zbl 1039.00005
Elaydi, Saber
2003
Stability theory of Volterra difference equations. Zbl 1044.39003
Dannan, F.; Elaydi, S.; Li, P.
2003
Global stability of cycles Lotka-Volterra competition model with stocking. Zbl 1048.39002
Elaydi, Saber; Yakubu, Abdul-Aziz
2002
Poincaré types solutions of systems of difference equations. Zbl 1014.39008
Abu-Saris, Raghib; Elaydi, Saber; Jang, Sophia
2002
Asymptotics for linear difference equations: II: Applications. Zbl 1063.39004
Elaydi, S.
2002
Discrete competitive and cooperative models of Lotka–Volterra type. Zbl 1024.39003
Liu, Pingzhou; Elaydi, Saber N.
2001
Discrete chaos. Zbl 0945.37010
Elaydi, Saber N.
2000
Periodic solutions to difference equations. Zbl 0953.39007
Dannan, F.; Elaydi, S.; Liu, P.
2000
Non-standard discretization methods for some biological models. Zbl 0989.65143
Al-Kahby, H.; Dannan, F.; Elaydi, S.
2000
On some open problems in difference equations. Zbl 0966.39001
Elaydi, S.
2000
An extension of chaotic dynamics to general topological spaces. Zbl 0965.37031
Awartani, M.; Elaydi, S.
2000
An introduction to difference equations. 2nd ed. Zbl 0930.39001
Elaydi, Saber N.
1999
Asymptotics for linear difference equations. I: Basic theory. Zbl 0954.39011
Elaydi, S.
1999
Asymptotic equivalence for difference equations with infinite delay. Zbl 0923.39004
Elaydi, Saber; Murakami, Satoru; Kamiyama, Etsuyo
1999
Difference equations in combinatorics, number theory, and orthogonal polynomials. Zbl 0941.39008
Elaydi, Saber
1999
Recent developments in the asymptotics of difference equations. Zbl 0938.39006
Elaydi, Saber
1999
Uniform asymptotic stability in linear Volterra difference equations. Zbl 0891.39013
Elaydi, S.; Murakami, S.
1998
Dichotomy and trichotomy of difference equations. Zbl 0914.39013
Elaydi, S.; Janglajew, K.
1998
On the computation of $$A^{n}$$. Zbl 0913.65037
Elaydi, Saber N.; Harris, William A. jun.
1998
Stability of integrodifferential systems of nonconvolution type. Zbl 0904.45003
Elaydi, S.
1998
Asymptotic theory for noninvertible systems. Zbl 0890.39009
Elaydi, Saber; Papaschinopoulos, Garyfalos; Schinas, John
1997
An introduction to difference equations. Zbl 0840.39002
Elaydi, Saber N.
1996
Asymptotic stability versus exponential stability in linear Volterra difference equations of convolution type. Zbl 0882.39005
Elaydi, Saber; Murakami, Satoru
1996
On a converse of Sharkovsky’s theorem. Zbl 0893.58024
Elaydi, Saber
1996
Global stability of nonlinear delay difference equations. Zbl 0858.39005
Elaydi, Saber N.; Kocic, Vlajko L.; Li, Jia
1996
Global stability of difference equations. Zbl 0843.39004
Elaydi, Saber
1996
An extension of Levinson’s theorem to asymptotically Jordan difference equations. Zbl 0855.39003
Elaydi, S.
1995
Asymptotic theory for delay difference equations. Zbl 0853.39004
Elaydi, S.; Györi, I.
1995
Periodic solutions of Volterra difference equations with infinite delay. II: The nonlinear case. Zbl 0860.39028
Elaydi, Saber N.; Zhang, Shunian
1995
Periodic solutions of Volterra difference equations with infinite delay. I: The linear case. Zbl 0860.39027
Elaydi, Saber N.; Zhang, Shunian
1995
Stability of integrodifferential systems of nonconvolution type. Zbl 0881.45008
Elaydi, S.
1995
Periodicity and stability of linear Volterra difference systems. Zbl 0796.39004
Elaydi, Saber
1994
Stability and periodicity of difference equations with finite delay. Zbl 0819.39006
Elaydi, Saber; Zhang, Shunian
1994
Global stability of a nonlinear Volterra difference system. Zbl 0868.39003
Elaydi, Saber N.; Kocic, Vlajko L.
1994
Stability of Volterra difference equations of convolution type. Zbl 0943.39500
Elaydi, Saber
1993
Asymptotic stability of linear systems with infinite delay. Zbl 0796.34065
Elaydi, Saber
1991
Exponential dichotomy and trichotomy of nonlinear differential equations. Zbl 0722.34053
Elaydi, Saber; Hájek, O.
1990
On variation of equicontinuity in dynamical systems. Zbl 0703.54022
Elaydi, Saber; Farran, H. R.
1990
A unified approach to stability in integrodifferential equations via Liapunov functions. Zbl 0689.45016
Elaydi, Saber; Sivasundaram, S.
1989
Lipschitz stability of nonlinear systems of differential equations. II: Lyapunov functions. Zbl 0729.34031
Dannan, Fozi M.; Elaydi, Saber
1989
Asymptotic stability in general dynamical systems. Zbl 0708.34042
Elaydi, Saber; Kaul, Saroop K.
1989
Exponential trichotomy of differential systems. Zbl 0651.34052
Elaydi, Saber; Hajek, O.
1988
Lipschitz stability for nonlinear Volterra integrodifferential systems. Zbl 0653.45008
Elaydi, Saber; Rama Mohana Rao, M.
1988
Nearly periodic dynamical systems. Zbl 0648.54032
1988
Some remarks on nonlinear dichotomy and trichotomy. Zbl 0646.34064
Elaydi, Saber; Hájek, O.
1987
Exponentially asymptotically stable dynamical systems. Zbl 0624.58018
Elaydi, Saber; Farran, Hani R.
1987
Stability of limit and prolongation sets in semiflows. Zbl 0622.54030
Elaydi, Saber; Kaul, Saroop K.
1987
Lipschitz stability of nonlinear systems of differential equations. Zbl 0595.34054
Dannan, Fozi M.; Elaydi, Saber
1986
Semiflows with global extensions. Zbl 0602.54041
Elaydi, Saber; Kaul, Saroop K.
1986
Lipschitz stable dynamical systems. Zbl 0614.58028
Elaydi, Saber; Farran, H. R.
1985
Some notions of stability in differential equations and dynamical systems. Zbl 0619.34051
Elaydi, Saber
1985
Exponential dichotomy of nonlinear systems of ordinary differential equations. Zbl 0582.34059
Elaydi, Saber; Hajek, O.
1985
On weak isometries and their embeddings in flows. Zbl 0561.58040
Elaydi, Saber; Farran, Hani R.
1984
Semidynamical systems with nonunique global backward extensions. II: The negative aspects. Zbl 0544.54036
Elaydi, Saber
1984
Isometries and certain dynamical systems. Zbl 0605.58033
Elaydi, Saber; Farran, Hani R.
1984
Attraction in topological dynamics. Zbl 0488.58019
Elaydi, Saber
1984
Semidynamical systems with non unique global backward extensions. Zbl 0525.54028
Elaydi, Saber
1983
On some stability notions in topological dynamics. Zbl 0507.54035
Elaydi, Saber
1983
Flows of almost strong characteristic 0 with generative phase groups. Zbl 0495.54033
Elaydi, S.; Kaul, Saroop K.
1982
On characteristic 0 and locally weakly almost periodic flows. Zbl 0495.54034
Elaydi, S.; Kaul, Saroop K.
1982
P-recursion and transformation groups of characteristic 0. Zbl 0507.54033
Elaydi, Saber
1982
P-equicontinuous flows. Zbl 0492.54024
Elaydi, Saber
1982
...and 3 more Documents
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#### Cited by 1,691 Authors

 63 Elaydi, Saber Nasr 20 Yakubu, Abdul-Aziz 19 Diblík, Josef 19 Sacker, Robert J. 16 Braverman, Elena 16 Raffoul, Youssef Naim 16 Sasu, Bogdan 15 Cuevas, Claudio 15 Jang, Sophia R.-J. 15 Kulenović, Mustafa R. S. 15 Pinto, Manuel 14 Elsadany, Abdelalim A. 14 Lizama, Carlos 14 Luís, Rafael 14 Papaschinopoulos, Garyfalos 14 Schmeidel, Ewa L. 13 Sasu, Adina Luminiţa 13 Vecchio, Antonia 12 Bainov, Drumi Dimitrov 12 Čermák, Jan 12 Gyori, Istvan 12 Medina, Rigoberto 12 Pituk, Mihály 12 Sedaghat, Hassan 12 Song, Yihong 12 Zhang, Shunian 11 Cushing, Jim M. 11 Din, Qamar 11 Shi, Haiping 10 Alsharawi, Ziyad 10 Liz, Eduardo 10 Murakami, Satoru 9 Bashkirtseva, Irina Adol’fovna 9 Berezansky, Leonid M. 9 Franke, John E. 9 Livadiotis, George 9 Oliveira, Henrique M. 9 Saker, Samir H. 9 Shi, Yuming 9 Yu, Jian-She 8 Ackleh, Azmy S. 8 Agarwal, Ravi P. 8 Baker, Christopher T. H. 8 Chow, Yunshyong 8 Kaul, Saroop K. 8 Kolmanovskii, Vladimir Borisovich 8 Lubuma, Jean Mbaro-Saman 8 Zhang, Yuanbiao 7 Baštinec, Jaromír 7 Camouzis, Elias 7 Ceauşu, Traian 7 Kwessi, Eddy A. 7 Ladas, Gerasimos E. 7 Liu, Xia 7 Matsunaga, Hideaki 7 Megan, Mihail 7 Migda, Małgorzata 7 Niu, Lei 7 Pham Huu Anh Ngoc 7 Rodkina, Alexandra 7 Ryashko, Lev Borisovich 7 Schinas, Christos J 7 Soliman, Ahmed Abo-Elmagd 6 Abu-Saris, Raghib M. 6 Appleby, John A. D. 6 Assas, Laila M. B. 6 Balibrea, Francisco 6 Cánovas, Jose S. 6 Choi, Sungkyu 6 Guo, Zhiming 6 Horváth, László 6 Jiang, Jifa 6 Khusainov, Denis Ya. 6 Kocic, Vlajko Lj. 6 Koo, Namjip 6 Linero Bas, Antonio 6 Muroya, Yoshiaki 6 Naboko, Serguei N. 6 Rachůnek, Lukáš 6 Robledo, Gonzalo 6 Russo, Elvira 5 Allen, Linda J. S. 5 Alves, João Ferreira 5 Bohner, Martin J. 5 Das, Ruchi 5 Dennis, Brian H. 5 Elabbasy, Elmetwally M. 5 Gil’, Michael Iosif 5 Gyllenberg, Mats 5 Janas, Jan 5 Kang, Yun 5 Khristova, Snezhana G. 5 Mañosa, Víctor 5 Mazrooei-Sebdani, Reza 5 Messina, Eleonora 5 Patidar, Kailash C. 5 Philos, Christos G. 5 Pötzsche, Christian 5 Rachůnková, Irena 5 Radin, Michael A. ...and 1,591 more Authors
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#### Cited in 262 Serials

 279 Journal of Difference Equations and Applications 80 Advances in Difference Equations 78 Journal of Mathematical Analysis and Applications 65 Applied Mathematics and Computation 64 Computers & Mathematics with Applications 54 Discrete Dynamics in Nature and Society 37 Journal of Computational and Applied Mathematics 37 Journal of Biological Dynamics 35 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 26 Nonlinear Analysis. Theory, Methods & Applications 24 Applied Mathematics Letters 22 Abstract and Applied Analysis 16 Chaos, Solitons and Fractals 16 Discrete and Continuous Dynamical Systems. Series B 15 Nonlinear Dynamics 13 Linear Algebra and its Applications 12 Mathematical Methods in the Applied Sciences 12 Mathematical and Computer Modelling 11 Mathematical Biosciences 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Discrete and Continuous Dynamical Systems 10 Applicable Analysis 10 Journal of Differential Equations 9 Journal of Mathematical Biology 9 Journal of Applied Mathematics and Computing 8 Journal of Theoretical Biology 7 Automatica 7 Proceedings of the American Mathematical Society 7 Nonlinear Analysis. Real World Applications 7 Journal of Applied Mathematics 7 International Journal of Biomathematics 6 International Journal of Theoretical Physics 6 Bulletin of Mathematical Biology 6 Journal of Approximation Theory 6 Differential Equations and Dynamical Systems 6 Fractional Calculus & Applied Analysis 6 Communications in Nonlinear Science and Numerical Simulation 6 Qualitative Theory of Dynamical Systems 5 Bulletin of the Australian Mathematical Society 5 Physics Letters. A 5 Rocky Mountain Journal of Mathematics 5 Acta Applicandae Mathematicae 5 Applied Mathematical Modelling 5 Automation and Remote Control 5 Indagationes Mathematicae. New Series 5 Journal of Mathematical Sciences (New York) 5 Journal of the Egyptian Mathematical Society 5 Opuscula Mathematica 4 Journal of the Franklin Institute 4 Journal of Mathematical Physics 4 Mathematics and Computers in Simulation 4 Results in Mathematics 4 Transactions of the American Mathematical Society 4 Topology and its Applications 4 Journal of Economic Dynamics & Control 4 Queueing Systems 4 Journal of Dynamics and Differential Equations 4 Mathematical Problems in Engineering 4 The ANZIAM Journal 4 Differential Equations 4 Electronic Journal of Mathematical Analysis and Applications EJMAA 3 Indian Journal of Pure & Applied Mathematics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Mathematics of Computation 3 Advances in Mathematics 3 Journal of Number Theory 3 Mathematica Slovaca 3 Theoretical Computer Science 3 Theoretical Population Biology 3 Systems & Control Letters 3 Physica D 3 Applied Numerical Mathematics 3 Dynamics and Stability of Systems 3 Neural Computation 3 Aequationes Mathematicae 3 European Journal of Operational Research 3 International Journal of Computer Mathematics 3 SIAM Journal on Applied Mathematics 3 Chinese Science Bulletin 3 Russian Mathematics 3 Turkish Journal of Mathematics 3 Bulletin des Sciences Mathématiques 3 Chaos 3 Journal of Dynamical and Control Systems 3 Methodology and Computing in Applied Probability 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Central European Journal of Mathematics 3 Mathematical Biosciences and Engineering 3 Journal of Nonlinear Science and Applications 3 Science China. Mathematics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Afrika Matematika 3 Journal of Applied Analysis and Computation 3 Journal of Function Spaces 2 Communications in Algebra 2 International Journal of Systems Science 2 Linear and Multilinear Algebra 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Fuzzy Sets and Systems 2 Glasgow Mathematical Journal ...and 162 more Serials
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#### Cited in 54 Fields

 868 Difference and functional equations (39-XX) 325 Dynamical systems and ergodic theory (37-XX) 303 Biology and other natural sciences (92-XX) 279 Ordinary differential equations (34-XX) 110 Numerical analysis (65-XX) 106 Systems theory; control (93-XX) 70 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 60 Operator theory (47-XX) 57 Integral equations (45-XX) 40 Probability theory and stochastic processes (60-XX) 37 Partial differential equations (35-XX) 32 Real functions (26-XX) 28 General topology (54-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 22 Operations research, mathematical programming (90-XX) 21 Number theory (11-XX) 14 Computer science (68-XX) 13 Combinatorics (05-XX) 12 Functions of a complex variable (30-XX) 12 Sequences, series, summability (40-XX) 11 Special functions (33-XX) 11 Information and communication theory, circuits (94-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Mechanics of deformable solids (74-XX) 8 Statistics (62-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 General and overarching topics; collections (00-XX) 5 Functional analysis (46-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Algebraic geometry (14-XX) 4 Potential theory (31-XX) 4 Approximations and expansions (41-XX) 4 Abstract harmonic analysis (43-XX) 4 Manifolds and cell complexes (57-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)