Edit Profile Elaydi, Saber Nasr Compute Distance To: Compute 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 Co-Authors 42 single-authored 11 Luís, Rafael 8 Farran, Hani Reda 8 Ladas, Gerasimos E. 8 Livadiotis, George 7 Kaul, Saroop K. 7 Kwessi, Eddy A. 7 Sacker, Robert J. 6 Assas, Laila M. B. 6 Oliveira, Henrique M. 5 Dannan, Fozi Mustafa 4 Aulbach, Bernd 4 Cushing, Jim M. 4 Dennis, Brian H. 4 Hájek, Otomar 3 Alsharawi, Ziyad 3 Cabral Balreira, E. 3 Dannan, F. 3 Murakami, Satoru 3 Zhang, Shunian 2 Abu-Saris, Raghib M. 2 Angelos, James R. 2 Diagana, Toka 2 Gyori, Istvan 2 Jang, Sophia R.-J. 2 Kocic, Vlajko Lj. 2 Liu, Pingzhou 2 Peterson, Allan C. 2 Pötzsche, Christian 2 Ribble, David 2 Yakubu, Abdul-Aziz 1 Aguirre, Luis Antonio 1 Ahmad, Khader H. 1 Al-Aqeel, Adnan A. 1 Alaoui, Aziz 1 Alkahby, Hadi Yahya 1 Allan, Fathi M. 1 Allen, Linda J. S. 1 Alsedà i Soler, Lluís 1 Alves, João Ferreira 1 Awartani, Marwan M. 1 Baigent, Steve 1 Bakir, Saad Taha 1 Bézandry, Paul Hubert 1 Bohner, Martin J. 1 CH-Chaoui, Mohamed 1 Cheng, Sui Sun 1 Cushman, Ann L. 1 D’Aniello, Emma 1 Došlý, Ondřej 1 Eladdadi, Amina 1 Elkhader, A. S. 1 Ferreira, José Manuel 1 Graef, John R. 1 Guzowska, Małgorzata 1 Hamaya, Yoshihiro 1 Harris, William A. jun. 1 Jain, Surender Kumar 1 Janglajew, Klara R. 1 Ji, Lia 1 Kamiyama, Etsuyo 1 Kapcak, Sinan 1 Lam, Ping-Fun 1 Lasser, Rupert 1 Letellier, Christophe 1 Li, Jia 1 Li, Panrun 1 López Fenner, Julio 1 Matsunaga, Hideaki 1 Messina, Elisa 1 Mokni, Karima 1 Mughrabi, T. A. 1 Nishimura, Kazuo 1 Papageorgiou, Vassilios G. 1 Papaschinopoulos, Garyfalos 1 Pinto, Alberto Adrego 1 Pinto, Manuel 1 Ponomarenko, Vadim 1 Popenda, Jerzy Ryszard 1 Rakesh, Leela 1 Rakowski, Jerzy 1 Rao, M. Rama Mohana 1 Ruffing, Andreas 1 Saleh, Manaf Adnan Saleh 1 Saleh, Mohmed H. 1 Sasu, Adina Luminiţa 1 Schinas, John 1 Shishikura, Mitsuhiro 1 Sivasundaram, Seenith 1 Titi, Edriss Saleh 1 Tose, Nobuyuki 1 Ufuktepe, Ünal 1 Van Assche, Walter 1 Vecchio, Antonia 1 Wu, Jianhong 1 Ziegler, Klaus 1 Zou, Xingfu 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) Publications by Year all cited Publications top 5 cited Publications 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 1071.39001Elaydi, Saber N. 456 2005 An introduction to difference equations. Zbl 0840.39002Elaydi, Saber N. 188 1996 An introduction to difference equations. 2nd ed. Zbl 0930.39001Elaydi, Saber N. 153 1999 Global stability of periodic orbits of non-autonomous difference equations and population biology. Zbl 1067.39003Elaydi, Saber; Sacker, Robert J. 76 2005 Discrete chaos. Zbl 0945.37010Elaydi, Saber N. 61 2000 Periodicity and stability of linear Volterra difference systems. Zbl 0796.39004Elaydi, Saber 61 1994 Nonautonomous Beverton-Holt equations and the Cushing-Henson conjectures. Zbl 1084.39005Elaydi, Saber; Sacker, Robert J. 57 2005 Lipschitz stability of nonlinear systems of differential equations. Zbl 0595.34054Dannan, Fozi M.; Elaydi, Saber 45 1986 Asymptotics for linear difference equations. I: Basic theory. Zbl 0954.39011Elaydi, S. 44 1999 Stability and periodicity of difference equations with finite delay. Zbl 0819.39006Elaydi, Saber; Zhang, Shunian 43 1994 Population models with Allee effect: a new model. Zbl 1342.92166Elaydi, Saber N.; Sacker, Robert J. 40 2010 Exponential trichotomy of differential systems. Zbl 0651.34052Elaydi, Saber; Hajek, O. 39 1988 Discrete chaos. With applications in science and engineering. 2nd ed. Zbl 1153.39002Elaydi, Saber N. 36 2008 Periodic difference equations, population biology and the Cushing–Henson conjectures. Zbl 1105.39006Elaydi, Saber; Sacker, Robert J. 35 2006 Asymptotic stability versus exponential stability in linear Volterra difference equations of convolution type. Zbl 0882.39005Elaydi, Saber; Murakami, Satoru 33 1996 An extension of Levinson’s theorem to asymptotically Jordan difference equations. Zbl 0855.39003Elaydi, S. 33 1995 An extension of Sharkovsky’s theorem to periodic difference equations. Zbl 1125.39001Alsharawi, Ziyad; Angelos, James; Elaydi, Saber; Rakesh, Leela 29 2006 Global stability of cycles Lotka-Volterra competition model with stocking. Zbl 1048.39002Elaydi, Saber; Yakubu, Abdul-Aziz 29 2002 Global stability of periodic orbits of nonautonomous difference equations in population biology and the Cushing-Henson conjectures. Zbl 1087.39504Elaydi, Saber; Sacker, Robert J. 25 2005 Uniform asymptotic stability in linear Volterra difference equations. Zbl 0891.39013Elaydi, S.; Murakami, S. 25 1998 Discrete competitive and cooperative models of Lotka–Volterra type. Zbl 1024.39003Liu, Pingzhou; Elaydi, Saber N. 24 2001 Dichotomy and trichotomy of difference equations. Zbl 0914.39013Elaydi, S.; Janglajew, K. 24 1998 Non-autonomous periodic systems with Allee effects. Zbl 1204.39016Luís, Rafael; Elaydi, Saber; Oliveira, Henrique 23 2010 Asymptotic equivalence for difference equations with infinite delay. Zbl 0923.39004Elaydi, Saber; Murakami, Satoru; Kamiyama, Etsuyo 23 1999 Periodic solutions to difference equations. Zbl 0953.39007Dannan, F.; Elaydi, S.; Liu, P. 22 2000 Stability of a Ricker-type competition model and the competitive exclusion principle. Zbl 1236.92070Luís, Rafael; Elaydi, Saber; Oliveira, Henrique 21 2011 Stability and asymptoticity of Volterra difference equations: a progress report. Zbl 1186.39023Elaydi, Saber 20 2009 Exponential dichotomy and trichotomy of nonlinear differential equations. Zbl 0722.34053Elaydi, Saber; Hájek, O. 19 1990 Asymptotic theory for delay difference equations. Zbl 0853.39004Elaydi, S.; Györi, I. 18 1995 Difference equations from discretization of a continuous epidemic model with immigration of infectives. Zbl 1076.92047Jang, Sophia; Elaydi, Saber 16 2003 Non-standard discretization methods for some biological models. Zbl 0989.65143Al-Kahby, H.; Dannan, F.; Elaydi, S. 16 2000 Local stability implies global stability for the planar Ricker competition model. Zbl 1282.39016Cabral Balreira, E.; Elaydi, Saber; Luís, Rafael 15 2014 Stability of hyperbolic and nonhyperbolic fixed points of one-dimensional maps. Zbl 1054.47043Dannan, Fozi M.; Elaydi, Saber N.; Ponomarenko, Vadim 13 2003 On the stochastic Beverton-Holt equation with survival rates. Zbl 1144.39011Bezandry, Paul H.; Diagana, Toka; Elaydi, Saber 12 2008 Population models in almost periodic environments. Zbl 1120.39017Diagana, Toka; Elaydi, Saber; Yakubu, Abdul-Aziz 12 2007 On the computation of \(A^{n}\). Zbl 0913.65037Elaydi, Saber N.; Harris, William A. jun. 12 1998 Basin of attraction of periodic orbits of maps on the real line. Zbl 1050.37006Elaydi, S.; Sacker, R. 11 2004 On a converse of Sharkovsky’s theorem. Zbl 0893.58024Elaydi, Saber 11 1996 Competition models with Allee effects. Zbl 1291.39042Livadiotis, G.; Assas, L.; Elaydi, S.; Kwessi, E.; Ribble, D. 10 2014 Open problems in some competition models. Zbl 1228.39001Elaydi, Saber; Luís, Rafael 10 2011 Nonautonomous difference equations: open problems and conjectures. Zbl 1067.39002Elaydi, Saber N. 10 2004 Difference equations versus differential equations, a possible equivalence for the Rössler system? Zbl 1056.39023Letellier, Christophe; Elaydi, Saber; Aguirre, Luis A.; Alaoui, Aziz 10 2004 Bifurcation and invariant manifolds of the logistic competition model. Zbl 1244.39012Guzowska, Malgorzata; Luís, Rafael; Elaydi, Saber 9 2011 On the asymptotic stability of linear Volterra difference equations of convolution type. Zbl 1146.39010Elaydi, S.; Messina, E.; Vecchio, A. 9 2007 A unified approach to stability in integrodifferential equations via Liapunov functions. Zbl 0689.45016Elaydi, Saber; Sivasundaram, S. 9 1989 Global stability of higher dimensional monotone maps. Zbl 1385.37034Balreira, E. Cabral; Elaydi, Saber; Luís, Rafael 8 2017 A stochastic modified Beverton-Holt model with the Allee effect. Zbl 1346.39022Assas, Laila; Dennis, Brian; Elaydi, Saber; Kwessi, Eddy; Livadiotis, George 8 2016 On some open problems in difference equations. Zbl 0966.39001Elaydi, S. 8 2000 Stability of Volterra difference equations of convolution type. Zbl 0943.39500Elaydi, Saber 8 1993 Lipschitz stability of nonlinear systems of differential equations. II: Lyapunov functions. Zbl 0729.34031Dannan, Fozi M.; Elaydi, Saber 8 1989 Global dynamics of triangular maps. Zbl 1345.37025Cabral Balreira, E.; Elaydi, Saber; Luís, Rafael 7 2014 Is the world evolving discretely? Zbl 1039.00005Elaydi, Saber 7 2003 Difference equations in combinatorics, number theory, and orthogonal polynomials. Zbl 0941.39008Elaydi, Saber 7 1999 Global stability of nonlinear delay difference equations. Zbl 0858.39005Elaydi, Saber N.; Kocic, Vlajko L.; Li, Jia 7 1996 Global stability of a nonlinear Volterra difference system. Zbl 0868.39003Elaydi, Saber N.; Kocic, Vlajko L. 7 1994 Poincaré types solutions of systems of difference equations. Zbl 1014.39008Abu-Saris, Raghib; Elaydi, Saber; Jang, Sophia 6 2002 On weak isometries and their embeddings in flows. Zbl 0561.58040Elaydi, Saber; Farran, Hani R. 6 1984 Stochastic modified Beverton-Holt model with Allee effect. II: The Cushing-Henson conjecture. Zbl 1345.39010Assas, Laila; Dennis, Brian; Elaydi, Saber; Kwessi, Eddy; Livadiotis, George 5 2016 Asymptotic stability of linear difference equations of advanced type. Zbl 1088.39502Dannan, Fozi M.; Elaydi, Saber N. 5 2004 An extension of chaotic dynamics to general topological spaces. Zbl 0965.37031Awartani, M.; Elaydi, S. 5 2000 Periodic solutions of Volterra difference equations with infinite delay. II: The nonlinear case. Zbl 0860.39028Elaydi, Saber N.; Zhang, Shunian 5 1995 Lipschitz stable dynamical systems. Zbl 0614.58028Elaydi, Saber; Farran, H. R. 5 1985 Semidynamical systems with non unique global backward extensions. Zbl 0525.54028Elaydi, Saber 5 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 1297.39001AlSharawi, Ziyad (ed.); Cushing, Jim M. (ed.); Elaydi, Saber (ed.) 4 2014 Asymptotics for linear difference equations: II: Applications. Zbl 1063.39004Elaydi, S. 4 2002 Global stability of difference equations. Zbl 0843.39004Elaydi, Saber 4 1996 Lipschitz stability for nonlinear Volterra integrodifferential systems. Zbl 0653.45008Elaydi, Saber; Rama Mohana Rao, M. 4 1988 Flows of almost strong characteristic 0 with generative phase groups. Zbl 0495.54033Elaydi, S.; Kaul, Saroop K. 4 1982 Towards a theory of periodic difference equations and its application to population dynamics. Zbl 1250.39011Elaydi, Saber N.; Luís, Rafael; Oliveira, Henrique 3 2011 An economical model with Allee effect. Zbl 1173.91418Luís, Rafael; Elaydi, Saber; Oliveira, Henrique 3 2009 Recent developments in the asymptotics of difference equations. Zbl 0938.39006Elaydi, Saber 3 1999 Periodic solutions of Volterra difference equations with infinite delay. I: The linear case. Zbl 0860.39027Elaydi, Saber N.; Zhang, Shunian 3 1995 Some remarks on nonlinear dichotomy and trichotomy. Zbl 0646.34064Elaydi, Saber; Hájek, O. 3 1987 Semiflows with global extensions. Zbl 0602.54041Elaydi, Saber; Kaul, Saroop K. 3 1986 On some stability notions in topological dynamics. Zbl 0507.54035Elaydi, Saber 3 1983 On characteristic 0 and locally weakly almost periodic flows. Zbl 0495.54034Elaydi, S.; Kaul, Saroop K. 3 1982 Weakly equicontinuous flows. Zbl 0486.54036Elaydi, Saber 3 1981 Stability of integrodifferential systems of nonconvolution type. Zbl 0904.45003Elaydi, S. 2 1998 Asymptotic theory for noninvertible systems. Zbl 0890.39009Elaydi, Saber; Papaschinopoulos, Garyfalos; Schinas, John 2 1997 Asymptotic stability in general dynamical systems. Zbl 0708.34042Elaydi, Saber; Kaul, Saroop K. 2 1989 Exponentially asymptotically stable dynamical systems. Zbl 0624.58018Elaydi, Saber; Farran, Hani R. 2 1987 Stability of limit and prolongation sets in semiflows. Zbl 0622.54030Elaydi, Saber; Kaul, Saroop K. 2 1987 Semidynamical systems with nonunique global backward extensions. II: The negative aspects. Zbl 0544.54036Elaydi, Saber 2 1984 On equicontinuous transformation groups. Zbl 0459.54032Elaydi, Saber 2 1981 The structure of \(\omega\)-limit sets of asymptotically non-autonomous discrete dynamical systems. Zbl 1436.37023D’Aniello, Emma; Elaydi, Saber 1 2020 Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Zbl 1357.39001Alsedà i Soler, Lluís (ed.); Cushing, Jim M. (ed.); Elaydi, Saber (ed.); Pinto, Alberto A. (ed.) 1 2016 A discrete-time host-parasitoid model with an Allee effect. Zbl 1448.92226Livadiotis, G.; Assas, L.; Dennis, B.; Elaydi, S.; Kwessi, E. 1 2015 Stability and invariant manifolds of a generalized Beddington host-parasitoid model. Zbl 1448.92206Kapçak, Sinan; Ufuktepe, Ünal; Elaydi, Saber 1 2013 Local bifurcation in one-dimensional nonautonomous periodic difference equations. Zbl 1270.39012Elaydi, Saber; Luís, Rafael; Oliveira, Henrique 1 2013 Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Zbl 1117.39001Elaydi, S. (ed.); Cushing, J. (ed.); Lasser, R. (ed.); Ruffing, A. (ed.); Papageorgiou, V. (ed.); Van Assche, W. (ed.) 1 2007 Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Zbl 1085.65001Allen, Linda J. S. (ed.); Aulbach, Bernd (ed.); Elaydi, Saber (ed.); Sacker, Robert (ed.) 1 2005 Stability theory of Volterra difference equations. Zbl 1044.39003Dannan, F.; Elaydi, S.; Li, P. 1 2003 Stability of integrodifferential systems of nonconvolution type. Zbl 0881.45008Elaydi, S. 1 1995 Asymptotic stability of linear systems with infinite delay. Zbl 0796.34065Elaydi, Saber 1 1991 On variation of equicontinuity in dynamical systems. Zbl 0703.54022Elaydi, Saber; Farran, H. R. 1 1990 Nearly periodic dynamical systems. Zbl 0648.54032Ahmad, Khader H.; Elaydi, Saber 1 1988 Some notions of stability in differential equations and dynamical systems. Zbl 0619.34051Elaydi, Saber 1 1985 Exponential dichotomy of nonlinear systems of ordinary differential equations. Zbl 0582.34059Elaydi, Saber; Hajek, O. 1 1985 Isometries and certain dynamical systems. Zbl 0605.58033Elaydi, Saber; Farran, Hani R. 1 1984 Attraction in topological dynamics. Zbl 0488.58019Elaydi, Saber 1 1984 The structure of \(\omega\)-limit sets of asymptotically non-autonomous discrete dynamical systems. Zbl 1436.37023D’Aniello, Emma; Elaydi, Saber 1 2020 Global stability of higher dimensional monotone maps. Zbl 1385.37034Balreira, E. Cabral; Elaydi, Saber; Luís, Rafael 8 2017 A stochastic modified Beverton-Holt model with the Allee effect. Zbl 1346.39022Assas, Laila; Dennis, Brian; Elaydi, Saber; Kwessi, Eddy; Livadiotis, George 8 2016 Stochastic modified Beverton-Holt model with Allee effect. II: The Cushing-Henson conjecture. Zbl 1345.39010Assas, Laila; Dennis, Brian; Elaydi, Saber; Kwessi, Eddy; Livadiotis, George 5 2016 Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Zbl 1357.39001Alsedà i Soler, Lluís (ed.); Cushing, Jim M. (ed.); Elaydi, Saber (ed.); Pinto, Alberto A. (ed.) 1 2016 A discrete-time host-parasitoid model with an Allee effect. Zbl 1448.92226Livadiotis, G.; Assas, L.; Dennis, B.; Elaydi, S.; Kwessi, E. 1 2015 Local stability implies global stability for the planar Ricker competition model. Zbl 1282.39016Cabral Balreira, E.; Elaydi, Saber; Luís, Rafael 15 2014 Competition models with Allee effects. Zbl 1291.39042Livadiotis, G.; Assas, L.; Elaydi, S.; Kwessi, E.; Ribble, D. 10 2014 Global dynamics of triangular maps. Zbl 1345.37025Cabral Balreira, E.; Elaydi, Saber; Luís, Rafael 7 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 1297.39001AlSharawi, Ziyad (ed.); Cushing, Jim M. (ed.); Elaydi, Saber (ed.) 4 2014 Stability and invariant manifolds of a generalized Beddington host-parasitoid model. Zbl 1448.92206Kapçak, Sinan; Ufuktepe, Ünal; Elaydi, Saber 1 2013 Local bifurcation in one-dimensional nonautonomous periodic difference equations. Zbl 1270.39012Elaydi, Saber; Luís, Rafael; Oliveira, Henrique 1 2013 Stability of a Ricker-type competition model and the competitive exclusion principle. Zbl 1236.92070Luís, Rafael; Elaydi, Saber; Oliveira, Henrique 21 2011 Open problems in some competition models. Zbl 1228.39001Elaydi, Saber; Luís, Rafael 10 2011 Bifurcation and invariant manifolds of the logistic competition model. Zbl 1244.39012Guzowska, Malgorzata; Luís, Rafael; Elaydi, Saber 9 2011 Towards a theory of periodic difference equations and its application to population dynamics. Zbl 1250.39011Elaydi, Saber N.; Luís, Rafael; Oliveira, Henrique 3 2011 Population models with Allee effect: a new model. Zbl 1342.92166Elaydi, Saber N.; Sacker, Robert J. 40 2010 Non-autonomous periodic systems with Allee effects. Zbl 1204.39016Luís, Rafael; Elaydi, Saber; Oliveira, Henrique 23 2010 Stability and asymptoticity of Volterra difference equations: a progress report. Zbl 1186.39023Elaydi, Saber 20 2009 An economical model with Allee effect. Zbl 1173.91418Luís, Rafael; Elaydi, Saber; Oliveira, Henrique 3 2009 Discrete chaos. With applications in science and engineering. 2nd ed. Zbl 1153.39002Elaydi, Saber N. 36 2008 On the stochastic Beverton-Holt equation with survival rates. Zbl 1144.39011Bezandry, Paul H.; Diagana, Toka; Elaydi, Saber 12 2008 Population models in almost periodic environments. Zbl 1120.39017Diagana, Toka; Elaydi, Saber; Yakubu, Abdul-Aziz 12 2007 On the asymptotic stability of linear Volterra difference equations of convolution type. Zbl 1146.39010Elaydi, S.; Messina, E.; Vecchio, A. 9 2007 Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Zbl 1117.39001Elaydi, S. (ed.); Cushing, J. (ed.); Lasser, R. (ed.); Ruffing, A. (ed.); Papageorgiou, V. (ed.); Van Assche, W. (ed.) 1 2007 Periodic difference equations, population biology and the Cushing–Henson conjectures. Zbl 1105.39006Elaydi, Saber; Sacker, Robert J. 35 2006 An extension of Sharkovsky’s theorem to periodic difference equations. Zbl 1125.39001Alsharawi, Ziyad; Angelos, James; Elaydi, Saber; Rakesh, Leela 29 2006 An introduction to difference equations. 3rd ed. Zbl 1071.39001Elaydi, Saber N. 456 2005 Global stability of periodic orbits of non-autonomous difference equations and population biology. Zbl 1067.39003Elaydi, Saber; Sacker, Robert J. 76 2005 Nonautonomous Beverton-Holt equations and the Cushing-Henson conjectures. Zbl 1084.39005Elaydi, Saber; Sacker, Robert J. 57 2005 Global stability of periodic orbits of nonautonomous difference equations in population biology and the Cushing-Henson conjectures. Zbl 1087.39504Elaydi, Saber; Sacker, Robert J. 25 2005 Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Zbl 1085.65001Allen, Linda J. S. (ed.); Aulbach, Bernd (ed.); Elaydi, Saber (ed.); Sacker, Robert (ed.) 1 2005 Basin of attraction of periodic orbits of maps on the real line. Zbl 1050.37006Elaydi, S.; Sacker, R. 11 2004 Nonautonomous difference equations: open problems and conjectures. Zbl 1067.39002Elaydi, Saber N. 10 2004 Difference equations versus differential equations, a possible equivalence for the Rössler system? Zbl 1056.39023Letellier, Christophe; Elaydi, Saber; Aguirre, Luis A.; Alaoui, Aziz 10 2004 Asymptotic stability of linear difference equations of advanced type. Zbl 1088.39502Dannan, Fozi M.; Elaydi, Saber N. 5 2004 Difference equations from discretization of a continuous epidemic model with immigration of infectives. Zbl 1076.92047Jang, Sophia; Elaydi, Saber 16 2003 Stability of hyperbolic and nonhyperbolic fixed points of one-dimensional maps. Zbl 1054.47043Dannan, Fozi M.; Elaydi, Saber N.; Ponomarenko, Vadim 13 2003 Is the world evolving discretely? Zbl 1039.00005Elaydi, Saber 7 2003 Stability theory of Volterra difference equations. Zbl 1044.39003Dannan, F.; Elaydi, S.; Li, P. 1 2003 Global stability of cycles Lotka-Volterra competition model with stocking. Zbl 1048.39002Elaydi, Saber; Yakubu, Abdul-Aziz 29 2002 Poincaré types solutions of systems of difference equations. Zbl 1014.39008Abu-Saris, Raghib; Elaydi, Saber; Jang, Sophia 6 2002 Asymptotics for linear difference equations: II: Applications. Zbl 1063.39004Elaydi, S. 4 2002 Discrete competitive and cooperative models of Lotka–Volterra type. Zbl 1024.39003Liu, Pingzhou; Elaydi, Saber N. 24 2001 Discrete chaos. Zbl 0945.37010Elaydi, Saber N. 61 2000 Periodic solutions to difference equations. Zbl 0953.39007Dannan, F.; Elaydi, S.; Liu, P. 22 2000 Non-standard discretization methods for some biological models. Zbl 0989.65143Al-Kahby, H.; Dannan, F.; Elaydi, S. 16 2000 On some open problems in difference equations. Zbl 0966.39001Elaydi, S. 8 2000 An extension of chaotic dynamics to general topological spaces. Zbl 0965.37031Awartani, M.; Elaydi, S. 5 2000 An introduction to difference equations. 2nd ed. Zbl 0930.39001Elaydi, Saber N. 153 1999 Asymptotics for linear difference equations. I: Basic theory. Zbl 0954.39011Elaydi, S. 44 1999 Asymptotic equivalence for difference equations with infinite delay. Zbl 0923.39004Elaydi, Saber; Murakami, Satoru; Kamiyama, Etsuyo 23 1999 Difference equations in combinatorics, number theory, and orthogonal polynomials. Zbl 0941.39008Elaydi, Saber 7 1999 Recent developments in the asymptotics of difference equations. Zbl 0938.39006Elaydi, Saber 3 1999 Uniform asymptotic stability in linear Volterra difference equations. Zbl 0891.39013Elaydi, S.; Murakami, S. 25 1998 Dichotomy and trichotomy of difference equations. Zbl 0914.39013Elaydi, S.; Janglajew, K. 24 1998 On the computation of \(A^{n}\). Zbl 0913.65037Elaydi, Saber N.; Harris, William A. jun. 12 1998 Stability of integrodifferential systems of nonconvolution type. Zbl 0904.45003Elaydi, S. 2 1998 Asymptotic theory for noninvertible systems. Zbl 0890.39009Elaydi, Saber; Papaschinopoulos, Garyfalos; Schinas, John 2 1997 An introduction to difference equations. Zbl 0840.39002Elaydi, Saber N. 188 1996 Asymptotic stability versus exponential stability in linear Volterra difference equations of convolution type. Zbl 0882.39005Elaydi, Saber; Murakami, Satoru 33 1996 On a converse of Sharkovsky’s theorem. Zbl 0893.58024Elaydi, Saber 11 1996 Global stability of nonlinear delay difference equations. Zbl 0858.39005Elaydi, Saber N.; Kocic, Vlajko L.; Li, Jia 7 1996 Global stability of difference equations. Zbl 0843.39004Elaydi, Saber 4 1996 An extension of Levinson’s theorem to asymptotically Jordan difference equations. Zbl 0855.39003Elaydi, S. 33 1995 Asymptotic theory for delay difference equations. Zbl 0853.39004Elaydi, S.; Györi, I. 18 1995 Periodic solutions of Volterra difference equations with infinite delay. II: The nonlinear case. Zbl 0860.39028Elaydi, Saber N.; Zhang, Shunian 5 1995 Periodic solutions of Volterra difference equations with infinite delay. I: The linear case. Zbl 0860.39027Elaydi, Saber N.; Zhang, Shunian 3 1995 Stability of integrodifferential systems of nonconvolution type. Zbl 0881.45008Elaydi, S. 1 1995 Periodicity and stability of linear Volterra difference systems. Zbl 0796.39004Elaydi, Saber 61 1994 Stability and periodicity of difference equations with finite delay. Zbl 0819.39006Elaydi, Saber; Zhang, Shunian 43 1994 Global stability of a nonlinear Volterra difference system. Zbl 0868.39003Elaydi, Saber N.; Kocic, Vlajko L. 7 1994 Stability of Volterra difference equations of convolution type. Zbl 0943.39500Elaydi, Saber 8 1993 Asymptotic stability of linear systems with infinite delay. Zbl 0796.34065Elaydi, Saber 1 1991 Exponential dichotomy and trichotomy of nonlinear differential equations. Zbl 0722.34053Elaydi, Saber; Hájek, O. 19 1990 On variation of equicontinuity in dynamical systems. Zbl 0703.54022Elaydi, Saber; Farran, H. R. 1 1990 A unified approach to stability in integrodifferential equations via Liapunov functions. Zbl 0689.45016Elaydi, Saber; Sivasundaram, S. 9 1989 Lipschitz stability of nonlinear systems of differential equations. II: Lyapunov functions. Zbl 0729.34031Dannan, Fozi M.; Elaydi, Saber 8 1989 Asymptotic stability in general dynamical systems. Zbl 0708.34042Elaydi, Saber; Kaul, Saroop K. 2 1989 Exponential trichotomy of differential systems. Zbl 0651.34052Elaydi, Saber; Hajek, O. 39 1988 Lipschitz stability for nonlinear Volterra integrodifferential systems. Zbl 0653.45008Elaydi, Saber; Rama Mohana Rao, M. 4 1988 Nearly periodic dynamical systems. Zbl 0648.54032Ahmad, Khader H.; Elaydi, Saber 1 1988 Some remarks on nonlinear dichotomy and trichotomy. Zbl 0646.34064Elaydi, Saber; Hájek, O. 3 1987 Exponentially asymptotically stable dynamical systems. Zbl 0624.58018Elaydi, Saber; Farran, Hani R. 2 1987 Stability of limit and prolongation sets in semiflows. Zbl 0622.54030Elaydi, Saber; Kaul, Saroop K. 2 1987 Lipschitz stability of nonlinear systems of differential equations. Zbl 0595.34054Dannan, Fozi M.; Elaydi, Saber 45 1986 Semiflows with global extensions. Zbl 0602.54041Elaydi, Saber; Kaul, Saroop K. 3 1986 Lipschitz stable dynamical systems. Zbl 0614.58028Elaydi, Saber; Farran, H. R. 5 1985 Some notions of stability in differential equations and dynamical systems. Zbl 0619.34051Elaydi, Saber 1 1985 Exponential dichotomy of nonlinear systems of ordinary differential equations. Zbl 0582.34059Elaydi, Saber; Hajek, O. 1 1985 On weak isometries and their embeddings in flows. Zbl 0561.58040Elaydi, Saber; Farran, Hani R. 6 1984 Semidynamical systems with nonunique global backward extensions. II: The negative aspects. Zbl 0544.54036Elaydi, Saber 2 1984 Isometries and certain dynamical systems. Zbl 0605.58033Elaydi, Saber; Farran, Hani R. 1 1984 Attraction in topological dynamics. Zbl 0488.58019Elaydi, Saber 1 1984 Semidynamical systems with non unique global backward extensions. Zbl 0525.54028Elaydi, Saber 5 1983 On some stability notions in topological dynamics. Zbl 0507.54035Elaydi, Saber 3 1983 Flows of almost strong characteristic 0 with generative phase groups. Zbl 0495.54033Elaydi, S.; Kaul, Saroop K. 4 1982 On characteristic 0 and locally weakly almost periodic flows. Zbl 0495.54034Elaydi, S.; Kaul, Saroop K. 3 1982 P-recursion and transformation groups of characteristic 0. Zbl 0507.54033Elaydi, Saber 1 1982 P-equicontinuous flows. Zbl 0492.54024Elaydi, Saber 1 1982 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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Serie Quarta 2 Fuzzy Sets and Systems 2 Glasgow Mathematical Journal ...and 162 more Serials all top 5 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) Citations by Year