## Elaydi, Saber Nasr

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 Author ID: elaydi.saber-nasr Published as: Elaydi, Saber; Elaydi, S.; Elaydi, Saber N.; Elaydi, Saber Nasr; Elaydi, S. N. more...less
 Documents Indexed: 127 Publications since 1977, including 6 Books 21 Contributions as Editor Co-Authors: 94 Co-Authors with 105 Joint Publications 2,576 Co-Co-Authors
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### Serials

 27 Journal of Difference Equations and Applications 11 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 5 Springer Proceedings in Mathematics & Statistics 4 Applicable Analysis 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
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### Fields

 82 Difference and functional equations (39-XX) 39 Dynamical systems and ergodic theory (37-XX) 32 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 Open

107 Publications have been cited 2,314 times in 1,676 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
Discrete chaos. With applications in science and engineering. 2nd ed. Zbl 1153.39002
Elaydi, Saber N.
2008
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
Exponential trichotomy of differential systems. Zbl 0651.34052
Elaydi, Saber; Hajek, O.
1988
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
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 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
Discrete competitive and cooperative models of Lotka–Volterra type. Zbl 1024.39003
Liu, Pingzhou; Elaydi, Saber N.
2001
An extension of Levinson’s theorem to asymptotically Jordan difference equations. Zbl 0855.39003
Elaydi, S.
1995
Dichotomy and trichotomy of difference equations. Zbl 0914.39013
Elaydi, S.; Janglajew, K.
1998
Asymptotic equivalence for difference equations with infinite delay. Zbl 0923.39004
Elaydi, Saber; Murakami, Satoru; Kamiyama, Etsuyo
1999
Stability of a Ricker-type competition model and the competitive exclusion principle. Zbl 1236.92070
Luís, Rafael; Elaydi, Saber; Oliveira, Henrique
2011
Uniform asymptotic stability in linear Volterra difference equations. Zbl 0891.39013
Elaydi, S.; Murakami, S.
1998
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
Non-autonomous periodic systems with Allee effects. Zbl 1204.39016
Luís, Rafael; Elaydi, Saber; Oliveira, Henrique
2010
Periodic solutions to difference equations. Zbl 0953.39007
Dannan, F.; Elaydi, S.; Liu, P.
2000
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
Stability of hyperbolic and nonhyperbolic fixed points of one-dimensional maps. Zbl 1054.47043
Dannan, Fozi M.; Elaydi, Saber N.; Ponomarenko, Vadim
2003
Population models in almost periodic environments. Zbl 1120.39017
Diagana, Toka; Elaydi, Saber; Yakubu, Abdul-Aziz
2007
Asymptotic theory for delay difference equations. Zbl 0853.39004
Elaydi, S.; Györi, I.
1995
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
Difference equations from discretization of a continuous epidemic model with immigration of infectives. Zbl 1076.92047
Jang, Sophia; Elaydi, Saber
2003
On the stochastic Beverton-Holt equation with survival rates. Zbl 1144.39011
Bezandry, Paul H.; Diagana, Toka; Elaydi, Saber
2008
On the computation of $$A^{n}$$. Zbl 0913.65037
Elaydi, Saber N.; Harris, William A. jun.
1998
Bifurcation and invariant manifolds of the logistic competition model. Zbl 1244.39012
Guzowska, Malgorzata; Luís, Rafael; Elaydi, Saber
2011
Open problems in some competition models. Zbl 1228.39001
Elaydi, Saber; Luís, Rafael
2011
Global stability of higher dimensional monotone maps. Zbl 1385.37034
Cabral Balreira, E.; Elaydi, Saber; Luís, Rafael
2017
On a converse of Sharkovsky’s theorem. Zbl 0893.58024
Elaydi, Saber
1996
Basin of attraction of periodic orbits of maps on the real line. Zbl 1050.37006
Elaydi, S.; Sacker, R.
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
Competition models with Allee effects. Zbl 1291.39042
Livadiotis, G.; Assas, L.; Elaydi, S.; Kwessi, E.; Ribble, D.
2014
Lipschitz stability of nonlinear systems of differential equations. II: Lyapunov functions. Zbl 0729.34031
Dannan, Fozi M.; Elaydi, Saber
1989
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
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
Global dynamics of triangular maps. Zbl 1345.37025
Cabral Balreira, E.; Elaydi, Saber; Luís, Rafael
2014
A stochastic modified Beverton-Holt model with the Allee effect. Zbl 1346.39022
Assas, Laila; Dennis, Brian; Elaydi, Saber; Kwessi, Eddy; Livadiotis, George
2016
Global stability of nonlinear delay difference equations. Zbl 0858.39005
Elaydi, Saber N.; Kocic, Vlajko L.; Li, Jia
1996
Nonautonomous difference equations: open problems and conjectures. Zbl 1067.39002
Elaydi, Saber N.
2004
Difference equations in combinatorics, number theory, and orthogonal polynomials. Zbl 0941.39008
Elaydi, Saber
1999
Is the world evolving discretely? Zbl 1039.00005
Elaydi, Saber
2003
Poincaré types solutions of systems of difference equations. Zbl 1014.39008
Abu-Saris, Raghib; Elaydi, Saber; Jang, Sophia
2002
An extension of chaotic dynamics to general topological spaces. Zbl 0965.37031
Awartani, M.; Elaydi, S.
2000
Global stability of a nonlinear Volterra difference system. Zbl 0868.39003
Elaydi, Saber N.; Kocic, Vlajko L.
1994
On weak isometries and their embeddings in flows. Zbl 0561.58040
Elaydi, Saber; Farran, Hani R.
1984
A discrete-time host-parasitoid model with an Allee effect. Zbl 1448.92226
Livadiotis, G.; Assas, L.; Dennis, B.; Elaydi, S.; Kwessi, E.
2015
Lipschitz stable dynamical systems. Zbl 0614.58028
Elaydi, Saber; Farran, H. R.
1985
Asymptotic stability of linear difference equations of advanced type. Zbl 1088.39502
Dannan, Fozi M.; Elaydi, Saber N.
2004
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
Stability and invariant manifolds of a generalized Beddington host-parasitoid model. Zbl 1448.92206
Kapçak, Sinan; Ufuktepe, Ünal; Elaydi, Saber
2013
Semidynamical systems with non unique global backward extensions. Zbl 0525.54028
Elaydi, Saber
1983
Global stability of difference equations. Zbl 0843.39004
Elaydi, Saber
1996
Towards a theory of periodic difference equations and its application to population dynamics. Zbl 1250.39011
Elaydi, Saber N.; Luís, Rafael; Oliveira, Henrique
2011
Flows of almost strong characteristic 0 with generative phase groups. Zbl 0495.54033
Elaydi, S.; Kaul, Saroop K.
1982
Asymptotics for linear difference equations: II: Applications. Zbl 1063.39004
Elaydi, S.
2002
Some remarks on nonlinear dichotomy and trichotomy. Zbl 0646.34064
Elaydi, Saber; Hájek, O.
1987
On some stability notions in topological dynamics. Zbl 0507.54035
Elaydi, Saber
1983
Semiflows with global extensions. Zbl 0602.54041
Elaydi, Saber; Kaul, Saroop K.
1986
Lipschitz stability for nonlinear Volterra integrodifferential systems. Zbl 0653.45008
Elaydi, Saber; Rama Mohana Rao, M.
1988
Weakly equicontinuous flows. Zbl 0486.54036
Elaydi, Saber
1981
Recent developments in the asymptotics of difference equations. Zbl 0938.39006
Elaydi, Saber
1999
An economical model with Allee effect. Zbl 1173.91418
Luís, Rafael; Elaydi, Saber; Oliveira, Henrique
2009
On characteristic 0 and locally weakly almost periodic flows. Zbl 0495.54034
Elaydi, S.; Kaul, Saroop K.
1982
Periodic solutions of Volterra difference equations with infinite delay. I: The linear case. Zbl 0860.39027
Elaydi, Saber N.; Zhang, Shunian
1995
Periodic solutions of Volterra difference equations with infinite delay. II: The nonlinear case. Zbl 0860.39028
Elaydi, Saber N.; Zhang, Shunian
1995
Semidynamical systems with nonunique global backward extensions. II: The negative aspects. Zbl 0544.54036
Elaydi, Saber
1984
Exponentially asymptotically stable dynamical systems. Zbl 0624.58018
Elaydi, Saber; Farran, Hani R.
1987
The structure of $$\omega$$-limit sets of asymptotically non-autonomous discrete dynamical systems. Zbl 1436.37023
D’Aniello, Emma; Elaydi, Saber
2020
Stability of integrodifferential systems of nonconvolution type. Zbl 0904.45003
Elaydi, S.
1998
Asymptotic stability in general dynamical systems. Zbl 0708.34042
Elaydi, Saber; Kaul, Saroop K.
1989
Local bifurcation in one-dimensional nonautonomous periodic difference equations. Zbl 1270.39012
Elaydi, Saber; Luís, Rafael; Oliveira, Henrique
2013
Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Zbl 1085.65001
2005
Nearly periodic dynamical systems. Zbl 0648.54032
1988
Active preferred sets in almost regular flows. Zbl 0505.54038
Elaydi, Saber
1981
P-recursion and transformation groups of characteristic 0. Zbl 0507.54033
Elaydi, Saber
1982
Hierarchical competition models with the Allee effect. III: Multispecies. Zbl 1448.92190
Elaydi, S.; Kwessi, E.; Livadiotis, G.
2018
Discrete evolutionary population models: a new approach. Zbl 1442.92106
2020
General Allee effect in two-species population biology. Zbl 1447.92353
2012
Isometries and certain dynamical systems. Zbl 0605.58033
Elaydi, Saber; Farran, Hani R.
1984
Some notions of stability in differential equations and dynamical systems. Zbl 0619.34051
Elaydi, Saber
1985
Stability of limit and prolongation sets in semiflows. Zbl 0622.54030
Elaydi, Saber; Kaul, Saroop K.
1987
Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Zbl 1117.39001
2007
On variation of equicontinuity in dynamical systems. Zbl 0703.54022
Elaydi, Saber; Farran, H. R.
1990
On equicontinuous transformation groups. Zbl 0459.54032
Elaydi, Saber
1981
A note on the number of normal subgroups of a group. Zbl 0484.22001
Elaydi, Saber
1981
Attraction in topological dynamics. Zbl 0488.58019
Elaydi, Saber
1984
P-equicontinuous flows. Zbl 0492.54024
Elaydi, Saber
1982
A continuous-time mathematical model and discrete approximations for the aggregation of $$\beta$$-amyloid. Zbl 1484.92018
Ackleh, Azmy S.; Elaydi, Saber; Livadiotis, George; Veprauskas, Amy
2021
The structure of $$\omega$$-limit sets of asymptotically non-autonomous discrete dynamical systems. Zbl 1436.37023
D&rsquo;Aniello, Emma; Elaydi, Saber
2020
Discrete evolutionary population models: a new approach. Zbl 1442.92106
2020
Hierarchical competition models with the Allee effect. III: Multispecies. Zbl 1448.92190
Elaydi, S.; Kwessi, E.; Livadiotis, G.
2018
Global stability of higher dimensional monotone maps. Zbl 1385.37034
Cabral Balreira, E.; 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
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
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
General Allee effect in two-species population biology. Zbl 1447.92353
2012
Stability of a Ricker-type competition model and the competitive exclusion principle. Zbl 1236.92070
Luís, Rafael; Elaydi, Saber; Oliveira, Henrique
2011
Bifurcation and invariant manifolds of the logistic competition model. Zbl 1244.39012
Guzowska, Malgorzata; Luís, Rafael; Elaydi, Saber
2011
Open problems in some competition models. Zbl 1228.39001
Elaydi, Saber; Luís, Rafael
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
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
2005
Basin of attraction of periodic orbits of maps on the real line. Zbl 1050.37006
Elaydi, S.; Sacker, R.
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
Nonautonomous difference equations: open problems and conjectures. Zbl 1067.39002
Elaydi, Saber N.
2004
Asymptotic stability of linear difference equations of advanced type. Zbl 1088.39502
Dannan, Fozi M.; Elaydi, Saber N.
2004
Stability of hyperbolic and nonhyperbolic fixed points of one-dimensional maps. Zbl 1054.47043
Dannan, Fozi M.; Elaydi, Saber N.; Ponomarenko, Vadim
2003
Difference equations from discretization of a continuous epidemic model with immigration of infectives. Zbl 1076.92047
Jang, Sophia; Elaydi, Saber
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
Dichotomy and trichotomy of difference equations. Zbl 0914.39013
Elaydi, S.; Janglajew, K.
1998
Uniform asymptotic stability in linear Volterra difference equations. Zbl 0891.39013
Elaydi, S.; Murakami, S.
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. I: The linear case. Zbl 0860.39027
Elaydi, Saber N.; Zhang, Shunian
1995
Periodic solutions of Volterra difference equations with infinite delay. II: The nonlinear case. Zbl 0860.39028
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
Lipschitz stability of nonlinear systems of differential equations. II: Lyapunov functions. Zbl 0729.34031
Dannan, Fozi M.; Elaydi, Saber
1989
A unified approach to stability in integrodifferential equations via Liapunov functions. Zbl 0689.45016
Elaydi, Saber; Sivasundaram, S.
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
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
...and 7 more Documents
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### Cited by 1,814 Authors

 64 Elaydi, Saber Nasr 21 Braverman, Elena 20 Sacker, Robert J. 20 Sasu, Bogdan 20 Yakubu, Abdul-Aziz 18 Raffoul, Youssef Naim 17 Diblík, Josef 17 Sasu, Adina Luminiţa 16 Kulenović, Mustafa R. S. 16 Vecchio, Antonia 15 Cuevas, Claudio 15 Elsadany, Abdelalim A. 15 Jang, Sophia R.-J. 15 Lizama, Carlos 15 Pinto, Manuel 15 Schmeidel, Ewa L. 14 Din, Qamar 14 Luís, Rafael 14 Papaschinopoulos, Garyfalos 13 Medina, Rigoberto 13 Pituk, Mihály 12 Bainov, Drumi Dimitrov 12 Čermák, Jan 12 Cushing, Jim M. 12 Gyori, Istvan 12 Sedaghat, Hassan 12 Song, Yihong 11 Alsharawi, Ziyad 10 Ackleh, Azmy S. 10 Bashkirtseva, Irina Adol’fovna 10 Berezansky, Leonid M. 10 Livadiotis, George 10 Liz, Eduardo 10 Murakami, Satoru 10 Zhang, Shunian 9 Agarwal, Ravi P. 9 Franke, John E. 9 Oliveira, Henrique M. 9 Saker, Samir H. 9 Shi, Haiping 9 Yu, Jian-She 8 Baker, Christopher Thomas Hale 8 Chow, Yunshyong 8 Dragičević, Davor 8 Guo, Zhiming 8 Kolmanovskii, Vladimir Borisovich 8 Lubuma, Jean Mbaro-Saman 8 Pham Huu Anh Ngoc 8 Shi, Yuming 7 Camouzis, Elias 7 Cánovas, Jose S. 7 Hoang, Manh Tuan 7 Kaul, Saroop K. 7 Khan, Abdul Qadeer 7 Khristova, Snezhana G. 7 Koo, Namjip 7 Kwessi, Eddy A. 7 Ladas, Gerasimos E. 7 Matsunaga, Hideaki 7 Migda, Małgorzata 7 Niu, Lei 7 Pötzsche, Christian 7 Robledo, Gonzalo 7 Rodkina, Alexandra 7 Ryashko, Lev Borisovich 7 Schinas, Christos J. 7 Soliman, Ahmed Abo-Elmagd 7 Veprauskas, Amy 7 Zhang, Yuanbiao 7 Zhong, Jiyu 6 Abu-Saris, Raghib M. 6 Assas, Laila M. B. 6 Balibrea, Francisco 6 Baštinec, Jaromír 6 Bézandry, Paul Hubert 6 Bohner, Martin J. 6 Ceauşu, Traian 6 Choi, Sungkyu 6 Das, Ruchi 6 Fečkan, Michal 6 Jamilov, Uygun U. 6 Jiang, Jifa 6 Kapcak, Sinan 6 Khusainov, Denis Ya. 6 Kocic, Vlajko Lj. 6 Linero Bas, Antonio 6 Liu, Xia 6 Megan, Mihail 6 Muroya, Yoshiaki 6 Naboko, Serguei N. 6 Popa, Dorian 6 Rachůnek, Lukáš 6 Ryals, Brian 6 Solís, Francisco Javier 6 Touafek, Nouressadat 5 Allen, Linda J. S. 5 Alves, João Ferreira 5 Appleby, John A. D. 5 Baias, Alina-Ramona 5 Borowska, Jolanta ...and 1,714 more Authors
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### Cited in 307 Serials

 298 Journal of Difference Equations and Applications 89 Advances in Difference Equations 78 Journal of Mathematical Analysis and Applications 66 Applied Mathematics and Computation 59 Discrete Dynamics in Nature and Society 58 Computers & Mathematics with Applications 39 Journal of Computational and Applied Mathematics 39 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 39 Journal of Biological Dynamics 23 Applied Mathematics Letters 23 Nonlinear Analysis. Theory, Methods & Applications 21 Abstract and Applied Analysis 21 Discrete and Continuous Dynamical Systems. Series B 18 Chaos, Solitons and Fractals 15 Nonlinear Dynamics 15 Journal of Applied Mathematics and Computing 14 Qualitative Theory of Dynamical Systems 12 Mathematical Methods in the Applied Sciences 12 Journal of Differential Equations 12 Mathematical and Computer Modelling 12 Linear Algebra and its Applications 12 Discrete and Continuous Dynamical Systems 11 Mathematical Biosciences 10 Applicable Analysis 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Journal of Mathematical Biology 8 Proceedings of the American Mathematical Society 8 Mathematical Biosciences and Engineering 8 International Journal of Biomathematics 8 Journal of Theoretical Biology 7 Bulletin of Mathematical Biology 7 Automatica 7 Journal of Dynamics and Differential Equations 7 Differential Equations and Dynamical Systems 7 Fractional Calculus & Applied Analysis 7 Communications in Nonlinear Science and Numerical Simulation 7 Nonlinear Analysis. Real World Applications 7 Journal of Applied Mathematics 6 International Journal of Theoretical Physics 6 Journal of Approximation Theory 6 Mathematica Slovaca 6 Applied Mathematical Modelling 6 Opuscula Mathematica 6 Mathematical Problems in Engineering 6 Nonautonomous Dynamical Systems 5 Bulletin of the Australian Mathematical Society 5 Physics Letters. A 5 Rocky Mountain Journal of Mathematics 5 Mathematics and Computers in Simulation 5 Acta Applicandae Mathematicae 5 Automation and Remote Control 5 International Journal of Computer Mathematics 5 Journal of Mathematical Sciences (New York) 5 Journal of the Egyptian Mathematical Society 5 Turkish Journal of Mathematics 5 Filomat 5 Differential Equations 5 Journal of Applied Mathematics and Computational Mechanics 4 Indian Journal of Pure & Applied Mathematics 4 Journal of the Franklin Institute 4 Journal of Mathematical Physics 4 Physica A 4 Advances in Mathematics 4 Results in Mathematics 4 Theoretical Computer Science 4 Transactions of the American Mathematical Society 4 Topology and its Applications 4 Journal of Economic Dynamics & Control 4 Queueing Systems 4 European Journal of Operational Research 4 Indagationes Mathematicae. New Series 4 Chaos 4 The ANZIAM Journal 4 Cubo 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Journal of Applied Analysis and Computation 4 Electronic Journal of Mathematical Analysis and Applications EJMAA 4 Journal of Applied Nonlinear Dynamics 3 International Journal of Mathematical Education in Science and Technology 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Mathematics of Computation 3 Fuzzy Sets and Systems 3 Journal of Number Theory 3 Quaestiones Mathematicae 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Systems & Control Letters 3 Statistics & Probability Letters 3 Physica D 3 Applied Numerical Mathematics 3 Dynamics and Stability of Systems 3 Neural Computation 3 Numerical Algorithms 3 Aequationes Mathematicae 3 SIAM Journal on Applied Mathematics 3 Chinese Science Bulletin 3 Russian Mathematics 3 Bulletin des Sciences Mathématiques 3 European Journal of Control 3 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 3 Communications of the Korean Mathematical Society ...and 207 more Serials
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### Cited in 55 Fields

 981 Difference and functional equations (39-XX) 387 Dynamical systems and ergodic theory (37-XX) 373 Biology and other natural sciences (92-XX) 308 Ordinary differential equations (34-XX) 135 Numerical analysis (65-XX) 116 Systems theory; control (93-XX) 71 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 66 Operator theory (47-XX) 64 Integral equations (45-XX) 50 Probability theory and stochastic processes (60-XX) 43 Real functions (26-XX) 37 Partial differential equations (35-XX) 32 General topology (54-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 28 Number theory (11-XX) 27 Operations research, mathematical programming (90-XX) 20 Computer science (68-XX) 16 Combinatorics (05-XX) 16 Special functions (33-XX) 14 Functions of a complex variable (30-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Sequences, series, summability (40-XX) 10 Mechanics of deformable solids (74-XX) 10 Information and communication theory, circuits (94-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Statistics (62-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Fluid mechanics (76-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Quantum theory (81-XX) 5 Functional analysis (46-XX) 4 General and overarching topics; collections (00-XX) 4 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-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) 4 Mechanics of particles and systems (70-XX) 4 Mathematics education (97-XX) 3 Field theory and polynomials (12-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-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)