Edit Profile Ladas, Gerasimos E. Compute Distance To: Compute Author ID: ladas.gerasimos Published as: Ladas, G; Ladas, G.; Ladas, G. E.; Ladas, Gerasimos; Ladas, Gerry Homepage: https://www.linkedin.com/in/gerasimos-ladas-b0371336 External Links: MGP · Math-Net.Ru · GND Documents Indexed: 289 Publications since 1969, including 20 Books Biographic References: 2 Publications all top 5 Co-Authors 24 single-authored 55 Grove, Edward Andrew 40 Camouzis, Elias 36 Kulenović, Mustafa R. S. 24 Sficas, Yiannis G. 21 Kocic, Vlajko Lj. 12 Devault, Richard 12 Lakshmikantham, Vangipuram 12 Qian, Chuanxi 12 Schultz, S. W. 11 Amleh, A. M. 11 Gopalsamy, Kondalsamy 11 Gyori, Istvan 10 Stavroulakis, Ioannis P. 9 Chuanxi, Q. 8 Elaydi, Saber Nasr 8 Grammatikopoulos, Myron K. 8 Janowski, Ed J. 8 Kent, Candace M. 8 Levins, Richard 7 Meimaridou, A. 6 Feuer, Jeffrey 6 Georgiou, D. A. 5 Drymonis, Emmanouil 5 Partheniadis, E. C. 5 Philos, Christos G. 5 Predescu, Mihaela 5 Quinn, Eugene P. 5 Radin, Michael A. 5 Valicenti, S. V. 4 Gibbons, C. H. 4 Kostrov, Yevgeniy 4 Kuruklis, Spiridon A. 4 McGrath, L. C. 4 Pakula, Lewis 4 Schinas, John 4 Vlahos, P. N. 3 Briden, W. J. 3 Chatterjee, Esha 3 Finizio, Norman J. 3 Hoag, Jeffrey T. 3 Ladde, Gangaram S. 3 Prokup, N. R. 3 Puccia, Charles J. 3 Rodrigues, Ieda W. 3 Teixeira, C. T. 3 Tzanetopoulos, G. 3 Voulov, Hristo Dimitrov 3 Wang, Zhi-Cheng 3 Yan, Jurang 2 Arciero, Michael 2 Aulbach, Bernd 2 Chatterjee, Ena 2 Cunningham, K. A. 2 El-Metwally, Hamdy A. 2 El-Metwally, Khaled A. 2 Jaroma, John H. 2 Kosmala, Witold A. J. 2 Lynd, Chris D. 2 Overdeep, C. B. 2 Palladino, Frank J. 2 Papadakis, John S. 2 Tsokos, Christos P. 2 Zhang, Shunian 2 Zou, Xingfu 1 Arino, Ovide 1 Awerbuch-Friedlander, Tamara 1 Bellavia, M. R. 1 Bohner, Martin J. 1 Brett, A. M. 1 Cao, Yulin 1 Cheng, Sui Sun 1 Dafermos, Constantine M. 1 Dial, Gur 1 Došlá, Zuzana 1 Došlý, Ondřej 1 Driver, Rodney D. 1 Farrell, Kathryn 1 Farrell, Kelda A. 1 Franke, John E. 1 Galminas, Lisa 1 Gilbert, Anna C. 1 Graef, John R. 1 Hallam, Thomas G. 1 Heissan, M. 1 Kirk, Vivien 1 Kreith, Kurt 1 Kruse, Nils 1 Kudlak, Z. A. 1 Leela, Srinivasa G. 1 López Fenner, Julio 1 Lugo, Gabriel 1 Martins, Luiz Felipe 1 Merino, Orlando 1 Nesemann, Tim 1 Northshield, Sam 1 Papanicolaou, George C. 1 Peterson, Allan C. 1 Pinto, Manuel 1 Popenda, Jerzy Ryszard 1 Q, Chuanxi ...and 14 more Co-Authors all top 5 Serials 57 Journal of Difference Equations and Applications 17 Applicable Analysis 17 Journal of Mathematical Analysis and Applications 10 Communications on Applied Nonlinear Analysis 9 Proceedings of the American Mathematical Society 6 Journal of Differential Equations 6 Radovi Matematički 5 Computers & Mathematics with Applications 5 Canadian Mathematical Bulletin 5 Hiroshima Mathematical Journal 5 Quarterly of Applied Mathematics 5 Differential and Integral Equations 4 Journal of Mathematical and Physical Sciences 4 Mathematical Sciences Research Hot-Line 3 Journal of the Australian Mathematical Society, Series B 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 SIAM Journal on Mathematical Analysis 2 Communications on Pure and Applied Mathematics 2 Rocky Mountain Journal of Mathematics 2 Analele Universităţii din Timişoara. Ştiinţe Matematice 2 Funkcialaj Ekvacioj. Serio Internacia 2 Mathematische Nachrichten 2 Journal of Applied Mathematics and Simulation 2 Dynamics and Stability of Systems 2 Panamerican Mathematical Journal 2 Dynamic Systems and Applications 2 Differential Equations and Dynamical Systems 2 Sarajevo Journal of Mathematics 2 Advances in Discrete Mathematics and Applications 2 Nonlinear Analysis. Theory, Methods & Applications 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Ukrainian Mathematical Journal 1 Bulletin of Mathematical Biology 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Fasciculi Mathematici 1 International Journal of Mathematics and Mathematical Sciences 1 The Journal of the Indian Mathematical Society. New Series 1 Le Matematiche 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Portugaliae Mathematica 1 Transactions of the American Mathematical Society 1 Utilitas Mathematica 1 Libertas Mathematica 1 Chinese Annals of Mathematics. Series B 1 Annals of Differential Equations 1 Journal of Integral Equations and Applications 1 Buletinul Institutului Politehnic din Iaşi. Secţia I 1 Journal of Dynamics and Differential Equations 1 Proceedings of the Georgian Academy of Sciences. Mathematics 1 Georgian Mathematical Journal 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Journal of Computational Analysis and Applications 1 Cubo Matemática Educacional 1 Mathematical Sciences Research Journal 1 International Journal of Pure and Applied Mathematics 1 International Journal of Applied Mathematical Sciences 1 Bulletin Société Mathématique de Grèce. Nouvelle Série 1 Fields Institute Communications 1 Lecture Notes in Pure and Applied Mathematics 1 Mathematics in Science and Engineering 1 Communications in Mathematical Analysis 1 International Journal of Qualitative Theory of Differential Equations and Applications 1 Journal of Numerical Mathematics and Stochastics 1 Oxford Mathematical Monographs all top 5 Fields 174 Difference and functional equations (39-XX) 117 Ordinary differential equations (34-XX) 26 Biology and other natural sciences (92-XX) 11 General and overarching topics; collections (00-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Numerical analysis (65-XX) 3 Partial differential equations (35-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 253 Publications have been cited 5,890 times in 2,628 Documents Cited by ▼ Year ▼ Oscillation theory of delay differential equations: with applications. Zbl 0780.34048Györi, I.; Ladas, G. 687 1991 Global behavior of nonlinear difference equations of higher order with applications. Zbl 0787.39001Kocic, V. L.; Ladas, G. 614 1993 Dynamics of second order rational difference equations. With open problems and conjectures. Zbl 0981.39011Kulenović, M. R. S.; Ladas, Gerry 227 2002 Periodicities in nonlinear difference equations. Zbl 1078.39009Grove, E. A.; Ladas, G. 200 2005 On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\). Zbl 0962.39004Amleh, A. M.; Grove, E. A.; Ladas, G.; Georgiou, D. A. 134 1999 Differential equation s in abstract spaces. Zbl 0257.34002Ladas, G. E.; Lakshmikantham, V. 113 1972 On rational recursive sequences. Zbl 0777.39002Kocic, V. L.; Ladas, G.; Rodrigues, I. W. 95 1993 Sharp conditions for the oscillation of delay difference equations. Zbl 0685.39004Ladas, G.; Philos, Ch. G.; Sficas, Y. G. 87 1989 Oscillations caused by several retarded and advanced arguments. Zbl 0452.34058Ladas, G.; Stavroulakis, I. P. 87 1982 Dynamics of third-order rational difference equations with open problems and conjectures. Zbl 1129.39002Camouzis, Elias; Ladas, Gerasimos 83 2008 Sharp conditions for oscillations caused by delays. Zbl 0407.34055Ladas, Gerasimos 76 1979 A rational difference equation. Zbl 0985.39017Kulenović, M. R. S.; Ladas, G.; Prokup, N. R. 73 2001 Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\). Zbl 1042.39523DeVault, R.; Kosmala, W.; Ladas, G.; Schultz, S. W. 68 2001 On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_{n-1}}{\gamma+x_n}\). Zbl 1039.39004Gibbons, C. H.; Kulenovic, M. R. S.; Ladas, G. 67 2000 Environmental periodicity and time delays in a “food-limited” population model. Zbl 0701.92021Gopalsamy, K.; Kulenović, M. R. S.; Ladas, G. 64 1990 On the recursive sequence \(x_{n+1}=\frac A{x_n}+\frac 1{x_{n-2}}\). Zbl 0904.39012DeVault, R.; Ladas, G.; Schultz, S. W. 61 1998 Oscillations of higher-order retarded differential equations generated by the retarded argument. Zbl 0273.34052Ladas, G.; Lakshmikantham, V.; Papadakis, J. S. 61 1972 Oscillations of neutral delay differential equations. Zbl 0566.34054Ladas, G.; Sficas, Y. G. 54 1986 Global attractivity in population dynamics. Zbl 0686.92019Kulenović, M. R. S.; Ladas, G.; Sficas, Y. G. 53 1989 Rational systems in the plane. Zbl 1169.39010Camouzis, E.; Kulenović, M. R. S.; Ladas, G.; Merino, O. 52 2009 On the difference equation \(x_{n+1}=\alpha+\beta x_{n-1}e^{-x_n}\). Zbl 1042.39506El-Metwally, H.; Grove, E. A.; Ladas, G.; Levins, R.; Radin, M. 51 2001 Explicit conditions for the oscillation of difference equations. Zbl 0718.39002Ladas, G. 49 1990 Linearized oscillations in population dynamics. Zbl 0634.92013Kulenović, M. R. S.; Ladas, G. 46 1987 On the recursive sequence \(y_{n+1}=(p+y_{n-1})/(qy_n+y_{n-1})\). Zbl 0967.39004Kosmala, W. A.; Kulenović, M. R. S.; Ladas, G.; Teixeira, C. T. 44 2000 Oscillations of second order neutral delay differential equations. Zbl 0581.34051Grammatikopoulos, M. K.; Ladas, G.; Meimaridou, A. 42 1985 On the trichotomy character of \(x_{n+1}=(\alpha+\beta x_n+\gamma x_{n-1})/(A+x_n)\). Zbl 1005.39017Gibbons, C. H.; Kulenović, M. R. S.; Ladas, G.; Voulov, H. D. 41 2002 On second-order rational difference equations. II. Zbl 1138.39002Amleh, A. M.; Camouzis, E.; Ladas, G. 39 2008 Necessary and sufficient conditions for oscillations. Zbl 0526.34054Ladas, G.; Sficas, Y. G.; Stavroulakis, I. P. 39 1983 Oscillations and global attractivity in a discrete delay logistic model. Zbl 0799.39004Kuruklis, S. A.; Ladas, G. 38 1992 Time lags in a “food-limited” population model. Zbl 0639.34070Gopalsamy, K.; Kulenovic, M. R. S.; Ladas, G. 38 1988 On delay differential inequalities of first order. Zbl 0492.34060Ladas, G.; Stavroulakis, I. P. 38 1982 A global convergence result with applications to periodic solutions. Zbl 0971.39004El-Metwally, H.; Grove, E. A.; Ladas, G. 37 2000 Global attractivity in Nicholson’s blowflies. Zbl 0754.34078Kulenović, M. R. S.; Ladas, G.; Sficas, Y. G. 37 1992 Oscillations of higher-order neutral equations. Zbl 0566.34055Ladas, G.; Sficas, Y. G. 36 1986 On the recursive sequence \(x_{n+1}=(\alpha x_n+\beta x_{n-1})/(A+x_n)\). Zbl 0966.39003Kulenović, M. R. S.; Ladas, G.; Prokup, N. R. 35 2000 Linearized oscillations in nonautonomous delay differential equations. Zbl 0779.34057Kocić, V. Lj.; Ladas, G.; Qian, C. 35 1993 When does local asymptotic stability imply global attractivity in rational equations? Zbl 1105.39001Camouzis, E.; Ladas, G. 34 2006 On the recursive sequence \(x_{n+1}=(\alpha x_n+\beta x_{n-1})/(\gamma x_n+\delta x_{n-1})\). Zbl 0960.39502Kulenović, M. R. S.; Ladas, G.; Sizer, W. S. 34 1998 Oscillations and global attractivity in models of hematopoiesis. Zbl 0694.34057Gopalsamy, K.; Kulenović, M. R. S.; Ladas, G. 34 1990 On a class of difference equations with strong negative feedback. Zbl 0951.39002Amleh, A. M.; Kruse, N.; Ladas, G. 33 1999 Necessary and sufficient condition for oscillations of neutral differential equations. Zbl 0616.34064Kulenović, M. R. S.; Ladas, G.; Meimaridou, A. 32 1987 Oscillations of first order neutral delay differential equations. Zbl 0566.34056Grammatikopoulos, M. K.; Grove, E. A.; Ladas, G. 31 1986 On the oscillation and asymptotic behavior of \(\dot N(t)=N(t)[a+bN(t- \tau)-cN^ 2(t-\tau)]\). Zbl 0719.34118Gopalsamy, K.; Ladas, G. 30 1990 Linearized oscillation theory for second order differential equations. Zbl 0632.34070Kulenovic, M. R. S.; Ladas, G. 30 1987 Open problems and conjectures. Zbl 1057.39505Ladas, Gerry 29 2004 On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_n}{Bx_n+Cx_{n-1}}\). Zbl 1042.39522Cunningham, K.; Kulenović, M. R. S.; Ladas, G.; Valicenti, S. V. 29 2001 Stability of solutions of linear nonautonomous difference equations. Zbl 0701.39001Ladas, G.; Qian, C.; Vlahos, P. N.; Yan, J. 29 1991 Oscillation and asymptotic behavior of neutral differential equations with deviating arguments. Zbl 0566.34057Grammatikopoulos, M. K.; Grove, E. A.; Ladas, G. 29 1986 On the global attractivity and the periodic character of some difference equations. Zbl 0993.39008El-Metwally, H.; Grove, E. A.; Ladas, G.; Voulov, H. D. 28 2001 A difference equation with eventually periodic solutions. Zbl 0933.39030Amleh, A. M.; Hoag, J.; Ladas, G. 28 1998 Global attractivity in nonlinear delay difference equations. Zbl 0756.39005Kocić, V. Lj.; Ladas, G. 28 1992 On the dynamics of \(x_{n+1}=\frac{\alpha+\gamma x_{n-1}+\delta x_{n-2}}{A+x_{n-2}}\). Zbl 1050.39003Camouzis, E.; Ladas, G.; Voulov, H. D. 27 2003 On a logistic equation with piecewise constant arguments. Zbl 0727.34061Gopalsamy, K.; Kulenovic, M. R. S.; Ladas, G. 27 1991 The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures. Zbl 1077.39004Kulenović, M. R. S.; Ladas, G.; Martins, L. F.; Rodrigues, I. W. 26 2003 Oscillation and asymptotic behavior of solutions of differential equations with retarded argument. Zbl 0216.12002Ladas, G. 25 1971 Oscillation and global attractivity in a discrete model of Nicholson’s blowflies. Zbl 0715.39003Kocic, V. Lj.; Ladas, G. 24 1990 Asymptotic behavior of solutions of retarded differential equations. Zbl 0521.34070Ladas, G.; Sficas, Y. G.; Stavroulakis, I. P. 24 1983 Recent developments in the oscillation of delay difference equations. Zbl 0731.39002Ladas, G. 23 1990 Linearized oscillations for equations with piecewise constant arguments. Zbl 0723.34058Györi, I.; Ladas, G. 23 1989 Oscillations of neutral differential equations with variable coefficients. Zbl 0682.34049Chuanxi, Q.; Ladas, G. 23 1989 Necessary and sufficient conditions for oscillations of higher order delay differential equations. Zbl 0528.34070Ladas, G.; Sficas, Y. G.; Stavroulakis, I. P. 23 1984 Oscillations of functional-differential equations generated by delays. Zbl 0227.34053Ladas, G.; Ladde, G.; Papadakis, J. S. 23 1972 On the boundedness character of rational equations. I. Zbl 1104.39003Camouzis, E.; Ladas, G.; Palladino, F.; Quinn, E. P. 22 2006 On the dynamics of \(x_{n+1}=p_n+\frac{x_{n-1}}{x_n}\) with a period-two coefficient. Zbl 1061.39006Kulenović, M. R. S.; Ladas, G.; Overdeep, C. B. 22 2004 Global attractivity in a second-order nonlinear difference equation. Zbl 0802.39001Kocic, V. Lj.; Ladas, G. 22 1993 Comparison results and linearized oscillations for higher-order difference equations. Zbl 0747.39002Ladas, G.; Qian, C. 22 1992 Global existence and asymptotic equilibrium in Banach spaces. Zbl 0273.34040Ladas, G.; Lakshmikantham, V. 22 1972 Open problems and conjectures: On third-order rational difference equations. II. Zbl 1133.39302Camouzis, E.; Ladas, G. 21 2008 On the recursive sequence \(x_{n+1}={\alpha+\beta x_ n+\gamma x_{n-1}\over A+Bx_ n+Cx_{n-1}}\). Zbl 0855.39006Ladas, G. 21 1995 Asymptotic behavior of a linear delay difference equation. Zbl 0751.39001Driver, R. D.; Ladas, G.; Vlahos, P. N. 21 1992 A necessary and sufficient condition for the oscillation of neutral equation. Zbl 0649.34069Grove, E. A.; Ladas, G.; Meimaridou, A. 21 1987 Periodically forced Pielou’s equation. Zbl 1120.39003Camouzis, E.; Ladas, G. 20 2007 Existence and behavior of solutions of a rational system. Zbl 1035.39013Grove, E. A.; Ladas, G.; McGrath, L. C.; Teixeira, C. T. 20 2001 Oscillation in differential equations with positive and negative coefficients. Zbl 0723.34068Ladas, G.; Qian, C. 20 1990 Oscillation and asymptotic behavior of higher order neutral equations with variable coefficients. Zbl 0672.34066Grammatikopoulos, M. K.; Ladas, G.; Meimaridou, A. 20 1988 On the boundedness character of rational equations. II. Zbl 1104.39002Amleh, A. M.; Camouzis, E.; Ladas, G. 19 2006 On third-order rational difference equations. VI. Zbl 1071.39502Camouzis, E.; Ladas, G.; Quinn, E. P. 19 2005 On some difference equations with eventually periodic solutions. Zbl 0911.39005Amleh, A. M.; Grove, E. A.; Kent, C. M.; Ladas, G. 19 1998 Neutral delay differential equations with positive and negative coefficients. Zbl 0618.34063Farrell, K.; Grove, E. A.; Ladas, G. 19 1988 Sufficient conditions for oscillation and nonoscillation of neutral equations. Zbl 0616.34063Grove, E. A.; Kulenović, M. R. S.; Ladas, G. 19 1987 Three trichotomy conjectures. Zbl 1330.39002Camouzis, E.; Ladas, G. 18 2002 Global attractivity in a delay difference equation. Zbl 0763.39001Györi, I.; Ladas, G.; Vlahos, P. N. 18 1991 Oscillation and asymptotic behavior of neutral equations with variable coefficients. Zbl 0617.34067Grammatikopoulos, M. K.; Ladas, G.; Sficas, Y. G. 18 1986 Open problems and conjectures: on third-order rational difference equations. I. Zbl 1133.39301Camouzis, E.; Ladas, G. 17 2008 On second-order rational difference equations. I. Zbl 1131.39005Amleh, A. M.; Camouzis, E.; Ladas, G. 17 2007 On the rational recursive sequence \(x_{n+1}=\frac{\alpha x_ n+\beta}{(\gamma x_ n+\delta)x_{n-1}}\). Zbl 0856.39011Grove, E. A.; Janowski, E. J.; Kent, C. M.; Ladas, G. 17 1994 On oscillation of nonlinear delay differential equations. Zbl 0627.34076Kulenović, M. R. S.; Ladas, G.; Meimaridou, A. 17 1987 On third-order rational difference equations. III. Zbl 1055.39500Camouzis, E.; Chatterjee, E.; Ladas, G.; Quinn, E. P. 16 2004 Oscillation and global stability in a delay logistic equation. Zbl 0806.34069Ladas, G.; Qian, C. 16 1994 Necessary and sufficient conditions for the oscillation of difference equations. Zbl 0689.39002Ladas, G.; Philos, Ch. G.; Sficas, Y. G. 16 1989 Oscillations and global attractivity in respiratory dynamics. Zbl 0683.92009Gopalsamy, K.; Kulenović, M. R. S.; Ladas, G. 16 1989 Stability of solutions of linear delay differential equations. Zbl 0645.34061Kulenović, M. R. S.; Ladas, G.; Meimaridou, A. 16 1987 Oscillations caused by retarded actions. Zbl 0334.34059Ladas, G.; Lakshmikantham, V. 16 1974 Global attractivity and convergence to a two-cycle in a difference equation. Zbl 0927.39005Franke, J. E.; Hoag, J. T.; Ladas, G. 15 1999 Necessary and sufficient conditions for the boundedness of \(x_{n+1}=A/x_n^p+B/x_{n-1}^q\). Zbl 1005.39506DeVault, R.; Ladas, G.; Schultz, S. W. 15 1998 Global attractivity in a ”food-limited” population model. Zbl 0787.34061Grove, E. A.; Ladas, G.; Qian, C. 15 1993 Oscillations of higher order neutral differential equations with variable coefficients. Zbl 0728.34075Chuanxi, Q.; Ladas, G. 15 1991 Oscillation and asymptotic behavior of second order neutral differential equations. Zbl 0647.34071Grammatikopoulos, M. K.; Ladas, G.; Meimaridou, A. 15 1987 Global convergence in difference equations. Zbl 1143.39010Camouzis, E.; Ladas, G. 14 2007 On the trichotomy character of \(x_{n+1}=\frac{\alpha+\gamma x_{n-1}}{A+Bx_n+x_{n-2}}\). Zbl 1319.39006Chatterjee, E.; Grove, E. A.; Kostrov, Y.; Ladas, G. 14 2003 On the global character of solutions of the system: \(x_{n+1}=\frac{\alpha_1+y_n}{x_n}\) and \(y_{n+1}=\frac{\alpha_2+\beta_2x_n+\gamma_2y_n}{A_2+B_2x_n+C_2y_n}\). Zbl 1259.39009Camouzis, E.; Kent, C. M.; Ladas, G.; Lynd, C. D. 6 2012 On the global character of the rational system \(x_{n+1}=\frac{\alpha_1}{A_1+B_1x_n+y_n}\) and \(y_{n+1}=\frac{\alpha_2+\beta_2x_n}{A_2+B_2x_n+C_2y_n}\). Zbl 1321.39021Drymonis, E.; Ladas, G. 3 2012 Patterns of boundedness of the rational system \(x _{n+1} = \alpha _{1} / (A _{1} + B _{1} x _{ n } + C _{1} y _{ n })\) and \(y _{n+1} = (\alpha _{2} + \beta _{2} x _{ n } + \gamma _{2} y _{ n }) / (A _{2} + B _{2} x _{ n } + C _{2} y _{ n })\). Zbl 1242.39022Camouzis, E.; Drymonis, E.; Ladas, G.; Tikjha, W. 2 2012 Open problems and conjectures on rational systems in three dimensions. Zbl 1321.39018Ladas, G.; Lugo, G.; Palladino, F. J. 1 2012 Patterns of boundedness of the rational system \(x_{n+1}=\frac {\alpha_1+\beta_1x_n}{A_1+B_1x_n+C_1Y_n}\) and \(y_{n+1}=\frac {\alpha_2+\beta_2x_n+\gamma_2y_n}{A_2+B_2x_n+C_2y_n}\). Zbl 1230.39006Camouzis, Elias; Drymonis, E.; Ladas, G. 3 2011 Open problems and conjectures: Global results on rational systems in the plane. I. Zbl 1218.39001Camouzis, E.; Ladas, G. 12 2010 Patterns of boundedness of a rational system in the plane. Zbl 1201.39004Amleh, A. M.; Camouzis, E.; Ladas, G.; Radin, M. A. 5 2010 Patterns of boundedness of the rational system \(x_{n+1}=\frac{\alpha_1+\beta_1x_n}{A_2+C_1y_n}\) and \(y_{n+1}=\frac{\alpha_2+\beta_2x_n+\gamma_2y_n}{A_2+B_2x_n+C_2y_n}\). Zbl 1208.39011Camouzis, E.; Drymonis, E.; Ladas, G. 3 2010 Periodicities which preserve and periodicities which destroy boundedness. Zbl 1220.39015Camouzis, E.; Grove, E. A.; Ladas, G.; Schultz, S. W. 1 2010 Rational systems in the plane. Zbl 1169.39010Camouzis, E.; Kulenović, M. R. S.; Ladas, G.; Merino, O. 52 2009 On the boundedness character of a rational system. Zbl 1220.39014Brett, A. M.; Camouzis, E.; Ladas, G.; Lynd, C. D. 3 2009 On the boundedness character of the system \(x_{n+1} =\frac{\alpha_{1} + \gamma _{1} y_{n}}{x_{n}}\) and \(y_{n+1} = \frac{\alpha_{2} + \beta _{2}x_{n} + \gamma _{2} y_{n}}{A_{2} + x_{n} + y_{n}}\). Zbl 1166.39003Camouzis, E.; Gilbert, A.; Heissan, M.; Ladas, G. 2 2009 On the global character of the system \(x_{n+1}=\frac\alpha{x_n+y_n}\) and \(y_{n+1}=\frac {y_n}{Bx_n+y_n}\). Zbl 1220.39012Camouzis, Elias; Drymonis, E.; Ladas, G. 1 2009 On the global character of the system \(x_{n+1}=\frac{\alpha_1+\gamma_1y_n}{x_n}\) and \(y_{n+1}=\frac{\beta_2x_n+\gamma_2y_n}{B_2x_n+C_2y_n}\). Zbl 1177.39013Camouzis, E.; Ladas, G.; Wu, L. 1 2009 Dynamics of third-order rational difference equations with open problems and conjectures. Zbl 1129.39002Camouzis, Elias; Ladas, Gerasimos 83 2008 On second-order rational difference equations. II. Zbl 1138.39002Amleh, A. M.; Camouzis, E.; Ladas, G. 39 2008 Open problems and conjectures: On third-order rational difference equations. II. Zbl 1133.39302Camouzis, E.; Ladas, G. 21 2008 Open problems and conjectures: on third-order rational difference equations. I. Zbl 1133.39301Camouzis, E.; Ladas, G. 17 2008 A nonlinear system of difference equations linking mosquitoes, habitats, and community interventions. Zbl 1149.39001Awerbuch-Friedlander, T.; Levins, R.; Camouzis, E.; Grove, E. A.; Ladas, G.; Predescu, M. 3 2008 Periodically forced Pielou’s equation. Zbl 1120.39003Camouzis, E.; Ladas, G. 20 2007 On second-order rational difference equations. I. Zbl 1131.39005Amleh, A. M.; Camouzis, E.; Ladas, G. 17 2007 Global convergence in difference equations. Zbl 1143.39010Camouzis, E.; Ladas, G. 14 2007 On the dynamics of \(x_{n+1}= \frac {\delta x-{n-2}+x_{n-3}}{A+x_{n-3}}\). Zbl 1118.39001Camouzis, E.; Chatterjee, E.; Ladas, G. 7 2007 Riccati difference equations with real period-2 coefficients. Zbl 1126.39001Grove, E. A.; Kostrov, Y.; Ladas, G.; Schultz, S. W. 6 2007 On the boundedness character of rational equations. III. Zbl 1126.39004Bellavia, M. R.; Camouzis, E.; Kudlak, Z. A.; Ladas, G. 6 2007 Existence of unbounded solutions in rational equations. Zbl 1263.39001Camouzis, E.; Grove, E. A.; Kostrov, Y.; Ladas, G. 2 2007 When does local asymptotic stability imply global attractivity in rational equations? Zbl 1105.39001Camouzis, E.; Ladas, G. 34 2006 On the boundedness character of rational equations. I. Zbl 1104.39003Camouzis, E.; Ladas, G.; Palladino, F.; Quinn, E. P. 22 2006 On the boundedness character of rational equations. II. Zbl 1104.39002Amleh, A. M.; Camouzis, E.; Ladas, G. 19 2006 When does periodicity destroy boundedness in rational equations? Zbl 1112.39003Camouzis, E.; Ladas, G. 12 2006 Periodicities in nonlinear difference equations. Zbl 1078.39009Grove, E. A.; Ladas, G. 200 2005 On third-order rational difference equations. VI. Zbl 1071.39502Camouzis, E.; Ladas, G.; Quinn, E. P. 19 2005 Progress report on the boundedness character of third-order rational equations. Zbl 1090.39005Camouzis, E.; Chatterjee, E.; Ladas, G.; Quinn, E. P. 11 2005 On third-order rational difference equations. V. Zbl 1228.39002Camouzis, E.; Ladas, Gerry 11 2005 On third-order rational difference equations. IV. Zbl 1213.39001Grove, E. A.; Kostrov, Y.; Ladas, Gerry; Predescu, M. 9 2005 On the global character of \(x_{n+1}=\frac{\beta x_n+\delta x_{n-k}}{A+x_{n-k}}\). Zbl 1084.39003Chatterjee, E.; De Vault, R.; Ladas, G. 1 2005 Open problems and conjectures. Zbl 1057.39505Ladas, Gerry 29 2004 On the dynamics of \(x_{n+1}=p_n+\frac{x_{n-1}}{x_n}\) with a period-two coefficient. Zbl 1061.39006Kulenović, M. R. S.; Ladas, G.; Overdeep, C. B. 22 2004 On third-order rational difference equations. III. Zbl 1055.39500Camouzis, E.; Chatterjee, E.; Ladas, G.; Quinn, E. P. 16 2004 Progress report on rational difference equations. Zbl 1068.39007Grove, E. A.; Kulenović, M. R. S.; Ladas, G. 11 2004 Some equations with eventually periodic solutions. Zbl 1042.39512Feuer, J.; Ladas, G. 6 2004 On the difference equation \(y_{n+1}=\frac{y_{n-(2k+1)}+p}{y_{n-(2k+1)}+qy_{n-2l}}\). Zbl 1065.39012Grove, E. A.; Ladas, G.; McGrath, L. C.; El-Metwally, H. A. 5 2004 On the dynamics of \(x_{n+1}=\frac{\alpha+\beta x_n+\gamma x_n+\delta x_{n-2}}{A+x_n}\). Zbl 1069.39021Camouzis, E.; Ladas, G.; Quinn, E. P. 4 2004 On period-two solutions of \(x_{n+1}=\frac{\alpha+\beta x_n+\gamma x_{n-1}}{A+Bx_n+Cx_{n-1}}\). Zbl 1067.39006Grove, E. A.; Ladas, G. 1 2004 On the dynamics of \(x_{n+1}=\frac{\alpha+\gamma x_{n-1}+\delta x_{n-2}}{A+x_{n-2}}\). Zbl 1050.39003Camouzis, E.; Ladas, G.; Voulov, H. D. 27 2003 The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures. Zbl 1077.39004Kulenović, M. R. S.; Ladas, G.; Martins, L. F.; Rodrigues, I. W. 26 2003 On the trichotomy character of \(x_{n+1}=\frac{\alpha+\gamma x_{n-1}}{A+Bx_n+x_{n-2}}\). Zbl 1319.39006Chatterjee, E.; Grove, E. A.; Kostrov, Y.; Ladas, G. 14 2003 On the global character of the difference equation \(x_{n+1}=\frac{\alpha+\gamma x_{n-(2k+1)}+\delta x_{n-2l}}{A+x_{n-2l}}\). Zbl 1038.39004Grove, E. A.; Ladas, G.; Predescu, M.; Radin, M. 11 2003 On the dynamics of \(x_{n+1}=p_n + \frac{x_{n-1}}{x_n}\). Zbl 1027.37500Kulenović, M. R. S.; Ladas, G.; Overdeep, C. B. 10 2003 On period-two convergence in rational equations. Zbl 1044.39002Camouzis, E.; Gibbons, C. H.; Ladas, G. 3 2003 Dynamics of second order rational difference equations. With open problems and conjectures. Zbl 0981.39011Kulenović, M. R. S.; Ladas, Gerry 227 2002 On the trichotomy character of \(x_{n+1}=(\alpha+\beta x_n+\gamma x_{n-1})/(A+x_n)\). Zbl 1005.39017Gibbons, C. H.; Kulenović, M. R. S.; Ladas, G.; Voulov, H. D. 41 2002 Three trichotomy conjectures. Zbl 1330.39002Camouzis, E.; Ladas, G. 18 2002 On the dynamics of \(x_{n+1}=\frac{\alpha+\beta x_n+\gamma x_{n-1}}{A+B x_n}\). Zbl 1062.39008Gibbons, C. H.; Kulenović, M. R. S.; Ladas, G. 6 2002 On the difference equation \(x_{n+1}=\frac{\max\{x_n,A_n\}}{x^2_nx_{n-1}}\). Zbl 1062.39006Cunningham, K. A.; Ladas, G.; Valicenti, S.; Feuer, J. 3 2002 Periodicity in nonlinear difference equations. Zbl 1072.39006Grove, E. A.; Ladas, G. 2 2002 A rational difference equation. Zbl 0985.39017Kulenović, M. R. S.; Ladas, G.; Prokup, N. R. 73 2001 Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\). Zbl 1042.39523DeVault, R.; Kosmala, W.; Ladas, G.; Schultz, S. W. 68 2001 On the difference equation \(x_{n+1}=\alpha+\beta x_{n-1}e^{-x_n}\). Zbl 1042.39506El-Metwally, H.; Grove, E. A.; Ladas, G.; Levins, R.; Radin, M. 51 2001 On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_n}{Bx_n+Cx_{n-1}}\). Zbl 1042.39522Cunningham, K.; Kulenović, M. R. S.; Ladas, G.; Valicenti, S. V. 29 2001 On the global attractivity and the periodic character of some difference equations. Zbl 0993.39008El-Metwally, H.; Grove, E. A.; Ladas, G.; Voulov, H. D. 28 2001 Existence and behavior of solutions of a rational system. Zbl 1035.39013Grove, E. A.; Ladas, G.; McGrath, L. C.; Teixeira, C. T. 20 2001 On \(x_{n+1}=\max \{\frac{1}{x_n},\frac{A_n}{x_{n-1}}\}\) with a period 3 parameter. Zbl 0980.39012Grove, E. A.; Kent, C.; Ladas, G.; Radin, M. A. 14 2001 Open problems and conjectures : On the recursive sequence \(x_{n+1}=-1+(x_{n-1}/x_n)\). Zbl 1081.39503Camouzis, E.; DeVault, R.; Ladas, G. 12 2001 On the dynamics of \(x_{n+1}=\frac{a+bx_{n-1}}{A+Bx_{n-2}}\). Zbl 1011.39003Amleh, A. M.; Kirk, V.; Ladas, G. 11 2001 On the global character of \(y_{n+1}+\frac{py_{n-1}+y_{n-2}}{q+y_{n-2}}\). Zbl 0994.39012Grove, E. A.; Ladas, G.; Predescu, M.; Radin, M. 3 2001 Convergence to periodic solutions. Zbl 1012.39500Amleh, A. M.; Ladas, G. 1 2001 On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_{n-1}}{\gamma+x_n}\). Zbl 1039.39004Gibbons, C. H.; Kulenovic, M. R. S.; Ladas, G. 67 2000 On the recursive sequence \(y_{n+1}=(p+y_{n-1})/(qy_n+y_{n-1})\). Zbl 0967.39004Kosmala, W. A.; Kulenović, M. R. S.; Ladas, G.; Teixeira, C. T. 44 2000 A global convergence result with applications to periodic solutions. Zbl 0971.39004El-Metwally, H.; Grove, E. A.; Ladas, G. 37 2000 On the recursive sequence \(x_{n+1}=(\alpha x_n+\beta x_{n-1})/(A+x_n)\). Zbl 0966.39003Kulenović, M. R. S.; Ladas, G.; Prokup, N. R. 35 2000 Global stability in some population models. Zbl 0988.39018Grove, E. A.; Kent, C. M.; Ladas, G.; Valicenti, S. 14 2000 On the global behavior of solutions of a biological model. Zbl 1110.39300Grove, E. A.; Ladas, G.; Prokup, N. R.; Levins, R. 13 2000 On period two solutions of \(x_{n+1}=\frac{\alpha+\beta x_n+\gamma x_{n-1}}{A+Bx_n+Cx_{n-1}}\). Zbl 0970.39007Kulenović, M. R. S.; Ladas, G. 10 2000 On the recursive sequence \(x_{n+1}= A/x_n+ B/x_{n-1}\). Zbl 0956.39002DeVault, R.; Galminas, L.; Janowski, E. J.; Ladas, G. 9 2000 Global behavior of solutions of \(x_{n+1} = max\{ x_n,A \} /x_nx_{n-1}\). Zbl 0958.39009Feuer, J.; Janowski, E. J.; Ladas, G.; Teixeira, C. 5 2000 On the nonautonomous difference equation \(x_{n+1}=\tfrac{\max\{x_n,A_n\}}{x_nx_{n-1}}\). Zbl 0988.39017Briden, W. J.; Ladas, G.; Nesemann, T. 4 2000 On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\). Zbl 0962.39004Amleh, A. M.; Grove, E. A.; Ladas, G.; Georgiou, D. A. 134 1999 On a class of difference equations with strong negative feedback. Zbl 0951.39002Amleh, A. M.; Kruse, N.; Ladas, G. 33 1999 Global attractivity and convergence to a two-cycle in a difference equation. Zbl 0927.39005Franke, J. E.; Hoag, J. T.; Ladas, G. 15 1999 Eventually periodic solutions of \(x_{n+1}=\max\{1/x_ n,A_ n/x_{n-1}\}\). Zbl 1108.39300Briden, W. J.; Grove, E. A.; Ladas, G.; Kent, C. M. 12 1999 On the nonautonomous equation \(x_{n+1}=\max\left\{ \frac{A_n}{x_n},\frac{B_n}{x_{n-1}}\right\}\). Zbl 0938.39012Briden, W. J.; Grove, E. A.; Ladas, G.; McGrath, L. C. 10 1999 Progress report on \(\chi_{n+1} = (\alpha+\beta\chi_n + \gamma\chi_{n-1})/(A+B\chi_n +C\chi_{n-1})\). Zbl 0927.39001Ladas, G. 6 1999 On the recursive sequence \(x_{n+1}=\frac A{x_n}+\frac 1{x_{n-2}}\). Zbl 0904.39012DeVault, R.; Ladas, G.; Schultz, S. W. 61 1998 On the recursive sequence \(x_{n+1}=(\alpha x_n+\beta x_{n-1})/(\gamma x_n+\delta x_{n-1})\). Zbl 0960.39502Kulenović, M. R. S.; Ladas, G.; Sizer, W. S. 34 1998 A difference equation with eventually periodic solutions. Zbl 0933.39030Amleh, A. M.; Hoag, J.; Ladas, G. 28 1998 On some difference equations with eventually periodic solutions. Zbl 0911.39005Amleh, A. M.; Grove, E. A.; Kent, C. M.; Ladas, G. 19 1998 Necessary and sufficient conditions for the boundedness of \(x_{n+1}=A/x_n^p+B/x_{n-1}^q\). Zbl 1005.39506DeVault, R.; Ladas, G.; Schultz, S. W. 15 1998 A problem from the Putnam Exam. Zbl 0925.39004Ladas, G. 6 1998 Boundedness and persistence of the nonautonomous Lyness and Max equations. Zbl 1005.39505Grove, E. A.; Kent, C. M.; Ladas, G. 5 1998 Global behavior of solutions of \(x_{n+1}=ax_n+f(x_n,x_{n-1})\). Zbl 0895.39003DeVault, R.; Dial, G.; Kocic, V. L.; Ladas, G. 3 1998 Global behavior of solutions of \(x_{n+1}=[\max \{x_n^k,A\}]/x_{n-1}\). Zbl 0895.39004Janowski, E.; Kocic, V. L.; Ladas, G.; Tzanetopoulos, G. 1 1998 Lyness-type equations in the third quadrant. Zbl 0893.39004Feuer, J.; Janowski, E. J.; Ladas, G. 11 1997 Classification of invariants for certain difference equations. Zbl 0890.39015Grove, E. A.; Kocic, V. L.; Ladas, G. 6 1997 On the recursive sequence \(x_{n+1}=\frac{A}{x_ n^ p}+\frac{B}{x_{n-1}^ q}\). Zbl 0890.39013DeVault, R.; Ladas, G.; Schultz, S. W. 6 1997 Lyness-type equations with period two coefficients. Zbl 0890.39016Janowski, E. J.; Ladas, G.; Valicenti, S. 2 1997 Lyness equations with variable coefficients. Zbl 0890.39014Grove, E. A.; Kent, C.; Ladas, G. 1 1997 On a nonlinear equation with piecewise constant argument. Zbl 0870.34070Grove, E. A.; Ladas, G.; Zhang, Shunian 1 1997 Invariants for some rational recursive sequences with periodic coefficients. Zbl 0856.39013Feuer, J.; Janowski, E. J.; Ladas, G. 12 1996 On May’s host parasitoid model. Zbl 0859.39002Ladas, G.; Tzanetopoulos, G.; Tovbis, A. 7 1996 ...and 153 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,882 Authors 98 Ladas, Gerasimos E. 70 Stević, Stevo 65 Kulenović, Mustafa R. S. 60 Yan, Jurang 49 Braverman, Elena 47 Zhang, Binggen 46 Berezansky, Leonid M. 46 Grace, Said Rezk 45 Agarwal, Ravi P. 41 Diblík, Josef 41 Stavroulakis, Ioannis P. 41 Tang, Xianhua 40 Yu, Jian-She 39 Li, Wan-Tong 37 Papaschinopoulos, Garyfalos 34 Camouzis, Elias 33 Elsayed, Elsayed Mohammed 33 Saker, Samir H. 32 Chatzarakis, George E. 30 Philos, Christos G. 30 Shen, Jianhua 29 Dehghan Takht Fooladi, Mehdi 29 Gyori, Istvan 26 Graef, John R. 26 Schinas, Christos J 25 Sedaghat, Hassan 24 Li, Xianyi 24 Ocalan, Ozkan 24 Sficas, Yiannis G. 23 Shi, Haiping 23 Sun, Taixiang 23 Yang, Xiaofan 23 Zhou, Yong 22 Lalli, Bikkar S. 22 Xi, Hongjian 21 Çinar, Cengiz 20 Cheng, Sui Sun 20 Grove, Edward Andrew 20 Mazrooei-Sebdani, Reza 20 Qian, Chuanxi 18 Džurina, Jozef 18 Gopalsamy, Kondalsamy 18 Karpuz, Başak 18 Liu, Xia 18 Thandapani, Ethiraju 18 Zhang, Yuanbiao 17 Berenhaut, Kenneth S. 17 Li, Tongxing 16 Din, Qamar 16 Ge, Weigao 15 Abu-Saris, Raghib M. 15 Cima, Anna 15 Kent, Candace M. 14 Abo-Zeid, Raafat 14 El-Morshedy, Hassan A. 14 Grammatikopoulos, Myron K. 14 Iričanin, Bratislav D. 14 Karakostas, George L. 14 Pinelas, Sandra 14 Wang, Zhi-Cheng 14 Wei, Junjie 13 Gasull, Armengol 13 Huang, Ying Sue 13 Knopf, Peter M. 13 Liu, Yuji 13 Pituk, Mihály 13 Purnaras, Ioannis K. 13 Šmarda, Zdeněk 13 Wang, Peiguang 13 Yalcinkaya, Ibrahim 12 Bainov, Drumi Dimitrov 12 Devault, Richard 12 Domoshnitsky, Alexander I. 12 El-Owaidy, Hassan Mostafa 12 Jadlovská, Irena 12 Kalabušić, Senada 12 Mañosa, Víctor 12 Pilav, Esmir 12 Zhou, Zhan 11 El-Dessoky, Mohamed M. 11 Feuer, Jeffrey 11 Hu, Linxia 11 Nurkanovic, Mehmed 11 Spikes, Paul W. 11 Zhao, Aimin 10 Bohner, Martin J. 10 Deng, Xiaoqing 10 Jaberi-Douraki, Majid 10 Kocic, Vlajko Lj. 10 Kusano, Takaŝi 10 Liz, Eduardo 10 Parhi, Narahari 10 Trofimchuk, Sergei I. 10 Voulov, Hristo Dimitrov 10 Wong, Patricia J. Y. 10 Yao, Zhijian 9 Ahmed, Ali Mohamed 9 Amleh, A. M. 9 Baculíková, Blanka 9 Candan, Tuncay ...and 1,782 more Authors all top 5 Cited in 238 Serials 331 Journal of Mathematical Analysis and Applications 278 Journal of Difference Equations and Applications 232 Applied Mathematics and Computation 199 Computers & Mathematics with Applications 132 Advances in Difference Equations 130 Applied Mathematics Letters 96 Discrete Dynamics in Nature and Society 61 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 53 Mathematical and Computer Modelling 52 Abstract and Applied Analysis 48 Journal of Computational and Applied Mathematics 45 Journal of Differential Equations 44 Applicable Analysis 41 Nonlinear Analysis. 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