## Gopalsamy, Kondalsamy

Compute Distance To:
 Author ID: gopalsamy.kondalsamy Published as: Gopalsamy, K.; Gopalsamy, Kondalsamy; Gopalsamy, K External Links: MGP · dblp
 Documents Indexed: 172 Publications since 1970, including 1 Book Co-Authors: 29 Co-Authors with 102 Joint Publications 727 Co-Co-Authors
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### Co-Authors

 69 single-authored 19 He, Xuezhong 12 Liu, Pingzhou 12 Zhang, Binggen 11 Ladas, Gerasimos E. 9 Mohamad, Sannay 8 Weng, Peixuan 7 Kulenović, Mustafa R. S. 6 Aggarwala, B. D. 6 Wen, Lizhi 5 Christie, J. R. 5 Lalli, Bikkar S. 5 Leung, Issic Kui Chiu 4 El-Morshedy, Hassan A. 4 Li, Jibin 4 Sun, Daqing 3 Trofimchuk, Sergei I. 2 Ahlip, R. A. 2 Bantsur, N. K. 2 Chen, Yongshao 2 Freedman, Herbert Irving 1 Akça, Haydar 1 Bharucha-Reid, Albert Turner 1 Cui, Xiaoying 1 Grace, Said Rezk 1 Grove, Edward Andrew 1 Gyori, Istvan 1 Panizza, M. P. 1 Sariyasa, S. 1 Zhang, Shunian
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### Serials

 16 Journal of Mathematical Analysis and Applications 10 Bulletin of the Australian Mathematical Society 9 Journal of the Australian Mathematical Society, Series B 8 Mathematical Biosciences 7 International Journal of Systems Science 7 Journal of Mathematical and Physical Sciences 7 Bulletin of Mathematical Biology 6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 6 Applied Mathematics and Computation 5 Quarterly of Applied Mathematics 4 Applicable Analysis 4 Journal of Mathematical Biology 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Dynamics and Stability of Systems 4 Bulletin of the Institute of Mathematics. Academia Sinica 3 Houston Journal of Mathematics 3 Funkcialaj Ekvacioj. Serio Internacia 3 Mathematische Nachrichten 3 Tohoku Mathematical Journal. Second Series 3 Nonlinear Analysis. Real World Applications 2 Computers & Mathematics with Applications 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Physica D 2 Dynamic Systems and Applications 2 Neural, Parallel & Scientific Computations 2 The ANZIAM Journal 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2 Nonlinear Analysis. Theory, Methods & Applications 1 Mathematical Methods in the Applied Sciences 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Indian Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Applied Probability 1 Mathematica Japonica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Annals of Differential Equations 1 Differential and Integral Equations 1 Panamerican Mathematical Journal 1 Journal of Dynamics and Differential Equations 1 The Canadian Applied Mathematics Quarterly 1 Nonlinear Times and Digest 1 Nonlinear World 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Chinese Quarterly Journal of Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematics and its Applications (Dordrecht)
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### Fields

 113 Ordinary differential equations (34-XX) 88 Biology and other natural sciences (92-XX) 25 Integral equations (45-XX) 16 Difference and functional equations (39-XX) 14 Partial differential equations (35-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Probability theory and stochastic processes (60-XX) 9 Systems theory; control (93-XX) 5 Numerical analysis (65-XX) 3 Computer science (68-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

135 Publications have been cited 3,671 times in 2,725 Documents Cited by Year
Stability and oscillations in delay differential equations of population dynamics. Zbl 0752.34039
Gopalsamy, K.
1992
Stability in asymmetric Hopfield nets with transmission delays. Zbl 0815.92001
Gopalsamy, K.; He, Xue-zhong
1994
On delay differential equations with impulses. Zbl 0687.34065
Gopalsamy, K.; Zhang, B. G.
1989
Exponential stability of continuous-time and discrete-time cellular neural networks with delays. Zbl 1030.34072
2003
Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108
Gopalsamy, K.; Leung, I.
1996
Leakage delays in BAM. Zbl 1116.34058
Gopalsamy, K.
2007
Global asymptotic stability in a periodic Lotka-Volterra system. Zbl 0588.92019
Gopalsamy, K.
1985
Stability of artificial neural networks with impulses. Zbl 1058.34008
Gopalsamy, K.
2004
Feedback regulation of logistic growth. Zbl 0765.34058
Gopalsamy, K.; Weng, Peixuan
1993
Persistence, attractivity, and delay in facultative mutualism. Zbl 0893.34036
He, Xue-zhong; Gopalsamy, K.
1997
Environmental periodicity and time delays in a “food-limited” population model. Zbl 0701.92021
Gopalsamy, K.; Kulenović, M. R. S.; Ladas, G.
1990
On a neutral delay logistic equation. Zbl 0665.34066
Gopalsamy, K.; Zhang, B. G.
1987
Exponential stability of artificial neural networks with distributed delays and large impulses. Zbl 1154.34042
Mohamad, Sannay; Gopalsamy, K.; Akça, Haydar
2008
Global asymptotic stability in an almost-periodic Lotka-Volterra system. Zbl 0591.92022
Gopalsamy, K.
1986
On a periodic neutral logistic equation. Zbl 0737.34050
Gopalsamy, K.; He, Xue-Zhong; Wen, Lizhi
1991
Exchange of equilibria in two species Lotka-Volterra competition models. Zbl 0498.92016
Gopalsamy, K.
1982
Global stability in time-delayed single-species dynamics. Zbl 0606.92020
Freedman, H. I.; Gopalsamy, K.
1986
Global asymptotic stability in Volterra’s population systems. Zbl 0535.92020
Gopalsamy, K.
1984
Global attractivity in a competition system with feedback controls. Zbl 1059.93111
Gopalsamy, K.; Weng, Peixuan
2003
Almost periodic solutions of Lasota-Wazewska-type delay differential equation. Zbl 0936.34058
Gopalsamy, K.; Trofimchuk, Sergei I.
1999
Time lags in a “food-limited” population model. Zbl 0639.34070
Gopalsamy, K.; Kulenovic, M. R. S.; Ladas, G.
1988
Global attractivity and oscillations in a periodic delay-logistic equation. Zbl 0711.34090
Zhang, B. G.; Gopalsamy, K.
1990
Persistence and global stability in a population model. Zbl 0912.34040
Gopalsamy, K.; Liu, Pingzhou
1998
Global stability and chaos in a population model with piecewise constant arguments. Zbl 0954.92020
Liu, Pingzhou; Gopalsamy, K.
1999
Continuous and discrete Halanay-type inequalities. Zbl 0958.34008
2000
Harmless delays in model systems. Zbl 0514.34060
Gopalsamy, K.
1983
Oscillations and global attractivity in models of hematopoiesis. Zbl 0694.34057
Gopalsamy, K.; Kulenović, M. R. S.; Ladas, G.
1990
On the oscillation and asymptotic behavior of $$\dot N(t)=N(t)[a+bN(t- \tau)-cN^ 2(t-\tau)]$$. Zbl 0719.34118
1990
Time lags and global stability in two-species competition. Zbl 0453.92014
Gopalsamy, K.
1980
On a logistic equation with piecewise constant arguments. Zbl 0727.34061
Gopalsamy, K.; Kulenovic, M. R. S.; Ladas, G.
1991
Global asymptotic stability in a periodic integrodifferential system. Zbl 0587.45013
Gopalsamy, Kondalsamy
1985
Delayed responses and stability in two-species systems. Zbl 0552.92016
Gopalsamy, K.
1984
Global Hopf-bifurcation in a neural netlet. Zbl 0946.34065
Gopalsamy, K.; Leung, Issic K. C.; Liu, Pingzhou
1998
Oscillations and convergence in an almost periodic competition system. Zbl 0872.34050
Gopalsamy, K.; He, Xue-Zhong
1997
Nonoscillation, oscillation and convergence of a class of neutral equations. Zbl 0954.34066
El-Morshedy, H. A.; Gopalsamy, K.
2000
Oscillation of odd order neutral differential equations. Zbl 0778.34050
Gopalsamy, K.; Lalli, B. S.; Zhang, B. G.
1992
Time delays and stimulus dependent pattern formation in periodic environments in isolated neurons. II. Zbl 1017.34073
Gopalsamy, K.; Sariyasa, S.
2002
Global attractivity and level crossings in a model of haematopoiesis. Zbl 0829.34067
Gopalsamy, K.; Weng, Pei-Xuan
1994
Oscillation and nonoscillation in a nonautonomous delay-logistic equation. Zbl 0648.34078
Zhang, B. G.; Gopalsamy, K.
1988
Oscillations and global attractivity in respiratory dynamics. Zbl 0683.92009
Gopalsamy, K.; Kulenović, M. R. S.; Ladas, G.
1989
A note on global attractivity in models of hematopoiesis. Zbl 0893.92012
Gopalsamy, K.; Trofimchuk, S. I.; Bantsur, N. K.
1998
On the periodic solution of $$n$$-dimensional stochastic population models. Zbl 0983.92023
Zhang, B. G.; Gopalsamy, K.
2000
Canonical solutions and almost periodicity in a discrete logistic equation. Zbl 1023.39012
2000
Competition, dispersion and coexistence. Zbl 0354.92032
Gopalsamy, K.
1977
Limit cycles in two species competition with time delays. Zbl 0458.92014
Gopalsamy, K.; Aggarwala, B. D.
1980
Oscillatory and asymptotic behaviour of a multiplicative delay logistic equation. Zbl 0764.34049
Gopalsamy, K.; Lalli, B. S.
1992
Dynamics of an almost periodic logistic integrodifferential equation. Zbl 0835.45004
Gopalsamy, K.; He, Xue-Zhong
1995
Oscillation and nonoscillation in first order neutral differential equations. Zbl 0725.34088
Gopalsamy, K.; Zhang, B. G.
1990
Neuronal dynamics in time varying environments: Continuous and discrete time models. Zbl 1007.92008
2000
Exponential stability preservation in semi-discretisations of BAM networks with nonlinear impulses. Zbl 1221.39007
2009
An arms race with deteriorating armaments. Zbl 0368.90101
Gopalsamy, K.
1977
Global attractivity in the delay logistic equation with variable parameters. Zbl 0708.34069
Zhang, B. G.; Gopalsamy, K.
1990
On the global attractivity in a generalized delay-logistic differential equation. Zbl 0622.34080
Gopalsamy, K.
1986
Oscillations in a delay-logistic equation. Zbl 0631.34077
Gopalsamy, K.
1986
Almost periodic solutions of nonautonomous linear difference equations. Zbl 1022.39014
Zhang, Shunian; Liu, Pingzhou; Gopalsamy, K.
2002
Age-specific coexistence in two-species competition. Zbl 0523.92017
Gopalsamy, K.
1982
Extreme stability and almost periodicity in a discrete logistic equation. Zbl 0954.39005
2000
On the construction of periodic solutions of Kaplan-Yorke type for some differential delay equations. Zbl 0845.34073
Gopalsamy, K.; Li, Jibin; He, Xue-Zhong
1995
Stability, instability, oscillation and nonoscillation in scalar integrodifferential systems. Zbl 0515.45008
Gopalsamy, K.
1983
Stability criteria for the linear system $$\dot X(t)+A(t)X(t-\tau)=0$$ and an application to a nonlinear system. Zbl 0708.93071
Gopalsamy, K.
1990
Harmless delays in a periodic ecosystem. Zbl 0563.92017
Gopalsamy, K.
1984
Oscillatory properties of systems of first order linear delay differential inequalities. Zbl 0634.34054
Gopalsamy, K.
1987
Global attractivity and oscillations in a periodic logistic integrodifferential equation. Zbl 0735.45006
Gopalsamy, K.; He, Xue-Zhong; Wen, Lizhi
1991
Time delays in n-species competition. I: Global stability in constant environments. Zbl 0531.92023
Gopalsamy, K.; Ahlip, R. A.
1983
Persistence in periodic and almost periodic Lotka-Volterra systems. Zbl 0548.92016
Gopalsamy, K.
1984
Oscillations of a class of delay equations with continuous and piecewise constant arguments. Zbl 0697.34059
Gopalsamy, K.; Györi, I.; Ladas, G.
1989
Nonoccurence of stability switching in systems with discrete delays. Zbl 0607.34062
Freedman, H. I.; Gopalsamy, K.
1988
On the stability of a neutral integro-partial differential equation. Zbl 0759.45007
Gopalsamy, K.; Weng, Pei-Xuan
1992
Global stability in $$N$$-species competition modelled by “pure-delay type” systems. II: Nonautonomous case. Zbl 0934.34062
Gopalsamy, K.; He, Xue-Zhong
1998
Pursuit-evasion wave trains in prey-predator systems with diffusionally coupled delays. Zbl 0446.92018
Gopalsamy, K.
1980
Oscillations in systems of integrodifferential equations. Zbl 0596.45012
Gopalsamy, K.
1986
Necessary and sufficient conditions for ”zero crossing” in integrodifferential equations. Zbl 0735.45007
Gopalsamy, Kondalsamy; Lalli, Bikkar S.
1991
Oscillations in linear systems of differential-difference equations. Zbl 0538.34039
Gopalsamy, K.
1984
Nonoscillation in a delay-logistic equation. Zbl 0608.34068
Gopalsamy, K
1985
Oscillations in integrodifferential equations of arbitrary order. Zbl 0632.45002
Gopalsamy, K.
1987
A note on global attractivity in models of hematopoiesis. Zbl 0933.92013
Gopalsamy, K.; Trofimchuk, S. I.; Bantsur, N. K.
1998
Global stability in the delay-logistic equation with discrete delays. Zbl 0714.34113
Gopalsamy, K.
1990
Nonoscillation in systems of linear differential equations with delayed and advanced arguments. Zbl 0688.34048
Gopalsamy, K.
1989
Oscillation of even order neutral differential equations. Zbl 0809.34080
Gopalsamy, K.; Grace, S. R.; Lalli, B. S.
1993
Persistence, stability and level crossings in an integrodifferential system. Zbl 0807.92020
He, X. Z.; Gopalsamy, K.
1994
Extreme stability and almost periodicity in continuous and discrete neuronal models with finite delays. Zbl 1008.92002
2002
Nonoscillatory differential equations with retarded and advanced arguments. Zbl 0589.34053
Gopalsamy, K.
1985
Dynamics of a hyperbolic logistic map with fading memory. Zbl 0869.39003
Liu, Pingzhou; Gopalsamy, K.
1995
Oscillations of delay differential equations. Zbl 0732.34055
1991
A unified treatment for stability preservation in computer simulations of impulsive BAM networks. Zbl 1183.68705
2008
Oscillations in neutral delay-differential equations. Zbl 0623.34066
Gopalsamy, K.
1987
Oscillation and nonoscillation in higher order neutral equations. Zbl 0766.34050
Zhang, B. G.; Gopalsamy, K.
1991
Global attractivity and ”level-crossings” in a periodic logistic integrodifferential equation. Zbl 0758.45004
Gopalsamy, K.; He, Xue-Zhong; Wen, Lizhi
1992
Stability and decay rates in a class of linear integrodifferential systems. Zbl 0545.45006
Gopalsamy, K.
1983
Global attractivity and oscillations in an almost periodic delay logistic equation. Zbl 0799.34075
Gopalsamy, K.; He, Xuezhong; Wen, Lizhi
1994
Dynamics of Lotka-Volterra mutualism in changing environments. Zbl 0802.34056
He, Xue-zhong; Gopalsamy, K.
1994
Oscillations in a delay logistic equation with diffusion. Zbl 0833.35144
Gopalsamy, K.; He, Xuezhong; Sun, Daqing
1992
Oscillation and comparison of a class of neutral equations. Zbl 0848.34056
Zhang, B. G.; Gopalsamy, K.
1994
On a model of competition in periodic environments. Zbl 0872.39009
Liu, Pingzhou; Gopalsamy, K.
1997
On the asymptotic age distribution in dispersive populations. Zbl 0342.92011
Gopalsamy, K.
1976
Competition and coexistence in spatially heterogeneous environments. Zbl 0366.92016
Gopalsamy, K.
1977
Oscillation and asymptotic behaviour of a class of higher-order non-linear difference equations. Zbl 1072.39005
Gopalsamy, K.; El-Morshedy, H. A.
2003
Limit cycles in periodically perturbed population systems. Zbl 0483.92016
Gopalsamy, K.
1981
On a class of parabolic differential equations driven by stochastic point processes. Zbl 0305.60025
Gopalsamy, K.; Bharucha-Reid, A. T.
1975
Dynamics of a hysteretic neuron model. Zbl 1115.34070
Gopalsamy, K.; Liu, Pingzhou
2007
Dynamics of continuous and discrete time SIV models of Gonorrhea transmission. Zbl 1263.92027
Leung, Issic K. C.; Gopalsamy, K.
2012
Exponential stability preservation in semi-discretisations of BAM networks with nonlinear impulses. Zbl 1221.39007
2009
Exponential stability of artificial neural networks with distributed delays and large impulses. Zbl 1154.34042
Mohamad, Sannay; Gopalsamy, K.; Akça, Haydar
2008
A unified treatment for stability preservation in computer simulations of impulsive BAM networks. Zbl 1183.68705
2008
Leakage delays in BAM. Zbl 1116.34058
Gopalsamy, K.
2007
Dynamics of a hysteretic neuron model. Zbl 1115.34070
Gopalsamy, K.; Liu, Pingzhou
2007
Learning dynamics in second order networks. Zbl 1152.92301
Gopalsamy, K.
2007
Stability of artificial neural networks with impulses. Zbl 1058.34008
Gopalsamy, K.
2004
Exponential stability of continuous-time and discrete-time cellular neural networks with delays. Zbl 1030.34072
2003
Global attractivity in a competition system with feedback controls. Zbl 1059.93111
Gopalsamy, K.; Weng, Peixuan
2003
Oscillation and asymptotic behaviour of a class of higher-order non-linear difference equations. Zbl 1072.39005
Gopalsamy, K.; El-Morshedy, H. A.
2003
Time delays and stimulus dependent pattern formation in periodic environments in isolated neurons. II. Zbl 1017.34073
Gopalsamy, K.; Sariyasa, S.
2002
Almost periodic solutions of nonautonomous linear difference equations. Zbl 1022.39014
Zhang, Shunian; Liu, Pingzhou; Gopalsamy, K.
2002
Extreme stability and almost periodicity in continuous and discrete neuronal models with finite delays. Zbl 1008.92002
2002
Chaos in perturbed Lotka-Volterra systems. Zbl 0977.34039
Christie, J. R.; Gopalsamy, K.; Li, Jibin
2001
Continuous and discrete Halanay-type inequalities. Zbl 0958.34008
2000
Nonoscillation, oscillation and convergence of a class of neutral equations. Zbl 0954.34066
El-Morshedy, H. A.; Gopalsamy, K.
2000
On the periodic solution of $$n$$-dimensional stochastic population models. Zbl 0983.92023
Zhang, B. G.; Gopalsamy, K.
2000
Canonical solutions and almost periodicity in a discrete logistic equation. Zbl 1023.39012
2000
Neuronal dynamics in time varying environments: Continuous and discrete time models. Zbl 1007.92008
2000
Extreme stability and almost periodicity in a discrete logistic equation. Zbl 0954.39005
2000
Almost periodic solutions of Lasota-Wazewska-type delay differential equation. Zbl 0936.34058
Gopalsamy, K.; Trofimchuk, Sergei I.
1999
Global stability and chaos in a population model with piecewise constant arguments. Zbl 0954.92020
Liu, Pingzhou; Gopalsamy, K.
1999
Persistence and global stability in a population model. Zbl 0912.34040
Gopalsamy, K.; Liu, Pingzhou
1998
Global Hopf-bifurcation in a neural netlet. Zbl 0946.34065
Gopalsamy, K.; Leung, Issic K. C.; Liu, Pingzhou
1998
A note on global attractivity in models of hematopoiesis. Zbl 0893.92012
Gopalsamy, K.; Trofimchuk, S. I.; Bantsur, N. K.
1998
Global stability in $$N$$-species competition modelled by “pure-delay type” systems. II: Nonautonomous case. Zbl 0934.34062
Gopalsamy, K.; He, Xue-Zhong
1998
A note on global attractivity in models of hematopoiesis. Zbl 0933.92013
Gopalsamy, K.; Trofimchuk, S. I.; Bantsur, N. K.
1998
On a population model which satisfies Allee’s principle. Zbl 0984.92024
Liu, Pingzhou; Gopalsamy, K.; Cui, Xiaoying
1998
Perturbed generalized Hamiltonian systems and some advection models. Zbl 0913.34035
Li, Jibin; Christie, J. R.; Gopalsamy, K.
1998
Persistence, attractivity, and delay in facultative mutualism. Zbl 0893.34036
He, Xue-zhong; Gopalsamy, K.
1997
Oscillations and convergence in an almost periodic competition system. Zbl 0872.34050
Gopalsamy, K.; He, Xue-Zhong
1997
On a model of competition in periodic environments. Zbl 0872.39009
Liu, Pingzhou; Gopalsamy, K.
1997
Subharmonic orbits in an anharmonic oscillator. Zbl 0869.34035
Christie, J. R.; Gopalsamy, K.; Panizza, M. P.
1997
Dynamics of social populations. Zbl 0892.34042
Gopalsamy, K.; Liu, Pingzhou
1997
Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108
Gopalsamy, K.; Leung, I.
1996
Oscillation and nonoscillation of a class of neutral equations. Zbl 0846.34077
Zhang, B. G.; Gopalsamy, K.
1996
Dynamics of an almost periodic logistic integrodifferential equation. Zbl 0835.45004
Gopalsamy, K.; He, Xue-Zhong
1995
On the construction of periodic solutions of Kaplan-Yorke type for some differential delay equations. Zbl 0845.34073
Gopalsamy, K.; Li, Jibin; He, Xue-Zhong
1995
Dynamics of a hyperbolic logistic map with fading memory. Zbl 0869.39003
Liu, Pingzhou; Gopalsamy, K.
1995
Stability in asymmetric Hopfield nets with transmission delays. Zbl 0815.92001
Gopalsamy, K.; He, Xue-zhong
1994
Global attractivity and level crossings in a model of haematopoiesis. Zbl 0829.34067
Gopalsamy, K.; Weng, Pei-Xuan
1994
Persistence, stability and level crossings in an integrodifferential system. Zbl 0807.92020
He, X. Z.; Gopalsamy, K.
1994
Global attractivity and oscillations in an almost periodic delay logistic equation. Zbl 0799.34075
Gopalsamy, K.; He, Xuezhong; Wen, Lizhi
1994
Dynamics of Lotka-Volterra mutualism in changing environments. Zbl 0802.34056
He, Xue-zhong; Gopalsamy, K.
1994
Oscillation and comparison of a class of neutral equations. Zbl 0848.34056
Zhang, B. G.; Gopalsamy, K.
1994
Single species dynamics in changing environments. Zbl 0822.34063
He, X. Z.; Zhang, B. G.; Gopalsamy, K.
1994
Feedback regulation of logistic growth. Zbl 0765.34058
Gopalsamy, K.; Weng, Peixuan
1993
Oscillation of even order neutral differential equations. Zbl 0809.34080
Gopalsamy, K.; Grace, S. R.; Lalli, B. S.
1993
Oscillations and convergence in a diffusive delay logistic equation. Zbl 0802.35084
Gopalsamy, K.; He, Xue-Zhong; Sun, Da-Qing
1993
Necessary and sufficient conditions for a fourth order functional differential equation to be oscillatory. Zbl 0805.34058
Gopalsamy, K.; Wen, Lizhi; Chen, Yong-Shao; He, Xue-Zhong
1993
Stability and oscillations in delay differential equations of population dynamics. Zbl 0752.34039
Gopalsamy, K.
1992
Oscillation of odd order neutral differential equations. Zbl 0778.34050
Gopalsamy, K.; Lalli, B. S.; Zhang, B. G.
1992
Oscillatory and asymptotic behaviour of a multiplicative delay logistic equation. Zbl 0764.34049
Gopalsamy, K.; Lalli, B. S.
1992
On the stability of a neutral integro-partial differential equation. Zbl 0759.45007
Gopalsamy, K.; Weng, Pei-Xuan
1992
Global attractivity and ”level-crossings” in a periodic logistic integrodifferential equation. Zbl 0758.45004
Gopalsamy, K.; He, Xue-Zhong; Wen, Lizhi
1992
Oscillations in a delay logistic equation with diffusion. Zbl 0833.35144
Gopalsamy, K.; He, Xuezhong; Sun, Daqing
1992
Global attractivity and “level crossing” in a logistic integrodifferential equation. Zbl 0753.34051
Gopalsamy, K.; Lalli, B. S.
1992
Global attractivity and ”level crossings” in a periodic partial integrodifferential equation. Zbl 0779.45007
Gopalsamy, K.; Weng, Peixuan
1992
On a periodic neutral logistic equation. Zbl 0737.34050
Gopalsamy, K.; He, Xue-Zhong; Wen, Lizhi
1991
On a logistic equation with piecewise constant arguments. Zbl 0727.34061
Gopalsamy, K.; Kulenovic, M. R. S.; Ladas, G.
1991
Global attractivity and oscillations in a periodic logistic integrodifferential equation. Zbl 0735.45006
Gopalsamy, K.; He, Xue-Zhong; Wen, Lizhi
1991
Necessary and sufficient conditions for ”zero crossing” in integrodifferential equations. Zbl 0735.45007
Gopalsamy, Kondalsamy; Lalli, Bikkar S.
1991
Oscillations of delay differential equations. Zbl 0732.34055
1991
Oscillation and nonoscillation in higher order neutral equations. Zbl 0766.34050
Zhang, B. G.; Gopalsamy, K.
1991
Oscillations in Lotka-Volterra systems with several delays. Zbl 0732.34054
Gopalsamy, K.
1991
Environmental periodicity and time delays in a “food-limited” population model. Zbl 0701.92021
Gopalsamy, K.; Kulenović, M. R. S.; Ladas, G.
1990
Global attractivity and oscillations in a periodic delay-logistic equation. Zbl 0711.34090
Zhang, B. G.; Gopalsamy, K.
1990
Oscillations and global attractivity in models of hematopoiesis. Zbl 0694.34057
Gopalsamy, K.; Kulenović, M. R. S.; Ladas, G.
1990
On the oscillation and asymptotic behavior of $$\dot N(t)=N(t)[a+bN(t- \tau)-cN^ 2(t-\tau)]$$. Zbl 0719.34118
1990
Oscillation and nonoscillation in first order neutral differential equations. Zbl 0725.34088
Gopalsamy, K.; Zhang, B. G.
1990
Global attractivity in the delay logistic equation with variable parameters. Zbl 0708.34069
Zhang, B. G.; Gopalsamy, K.
1990
Stability criteria for the linear system $$\dot X(t)+A(t)X(t-\tau)=0$$ and an application to a nonlinear system. Zbl 0708.93071
Gopalsamy, K.
1990
Global stability in the delay-logistic equation with discrete delays. Zbl 0714.34113
Gopalsamy, K.
1990
Oscillations of a system of delay logistic equations. Zbl 0686.34066
Gopalsamy, K.; Kulenovic, M. R. S.; Ladas, G.
1990
On delay differential equations with impulses. Zbl 0687.34065
Gopalsamy, K.; Zhang, B. G.
1989
Oscillations and global attractivity in respiratory dynamics. Zbl 0683.92009
Gopalsamy, K.; Kulenović, M. R. S.; Ladas, G.
1989
Oscillations of a class of delay equations with continuous and piecewise constant arguments. Zbl 0697.34059
Gopalsamy, K.; Györi, I.; Ladas, G.
1989
Nonoscillation in systems of linear differential equations with delayed and advanced arguments. Zbl 0688.34048
Gopalsamy, K.
1989
Neutral delay differential equations with variable delays. Zbl 0717.34076
Gopalsamy, K.; Grove, E. A.; Ladas, G.
1989
Oscillation in systems of linear differential equations with delayed and advanced arguments. Zbl 0676.34040
Gopalsamy, K.
1989
Time lags in a “food-limited” population model. Zbl 0639.34070
Gopalsamy, K.; Kulenovic, M. R. S.; Ladas, G.
1988
Oscillation and nonoscillation in a nonautonomous delay-logistic equation. Zbl 0648.34078
Zhang, B. G.; Gopalsamy, K.
1988
Nonoccurence of stability switching in systems with discrete delays. Zbl 0607.34062
Freedman, H. I.; Gopalsamy, K.
1988
On a neutral delay logistic equation. Zbl 0665.34066
Gopalsamy, K.; Zhang, B. G.
1987
Oscillatory properties of systems of first order linear delay differential inequalities. Zbl 0634.34054
Gopalsamy, K.
1987
Oscillations in integrodifferential equations of arbitrary order. Zbl 0632.45002
Gopalsamy, K.
1987
Oscillations in neutral delay-differential equations. Zbl 0623.34066
Gopalsamy, K.
1987
Oscillation and nonoscillation in neutral differential equations with variable parameters. Zbl 0655.34058
Gopalsamy, K.
1987
Stability and nonoscillation in a logistic equation with recruitment delays. Zbl 0616.34069
Gopalsamy, K.
1987
A simple stability criterion for a linear system of neutral integro- differential equations. Zbl 0632.45001
Gopalsamy, K.
1987
Global asymptotic stability in a class of Volterra-Stieltjes integrodifferential systems. Zbl 0634.45007
Gopalsamy, K.
1987
Global asymptotic stability in an almost-periodic Lotka-Volterra system. Zbl 0591.92022
Gopalsamy, K.
1986
Global stability in time-delayed single-species dynamics. Zbl 0606.92020
Freedman, H. I.; Gopalsamy, K.
1986
On the global attractivity in a generalized delay-logistic differential equation. Zbl 0622.34080
Gopalsamy, K.
1986
Oscillations in a delay-logistic equation. Zbl 0631.34077
Gopalsamy, K.
1986
Oscillations in systems of integrodifferential equations. Zbl 0596.45012
Gopalsamy, K.
1986
Convergence in a resource-based competition system. Zbl 0613.92024
Gopalsamy, K.
1986
Oscillations in a linear system of differential-difference equations of arbitrary order. Zbl 0621.34065
Gopalsamy, K.
1986
Global asymptotic stability in a periodic Lotka-Volterra system. Zbl 0588.92019
Gopalsamy, K.
1985
...and 35 more Documents
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### Cited by 2,584 Authors

 81 Cao, Jinde 56 Gopalsamy, Kondalsamy 55 Chen, Fengde 55 Chen, Lansun 47 Li, Yongkun 38 Teng, Zhi-dong 38 Yan, Jurang 36 Xu, Rui 35 Berezansky, Leonid M. 35 Liao, Xiaofeng 33 Huang, Lihong 33 Liu, Zhijun 32 Li, Xiaodi 29 Braverman, Elena 29 Xia, Yonghui 26 Li, Wan-Tong 23 Saker, Samir H. 22 Agarwal, Ravi P. 22 Shen, Jianhua 21 Jiang, Daqing 21 Liu, Meng 21 Muroya, Yoshiaki 21 Park, Juhyun (Jessie) 20 Rakkiyappan, Rajan 20 Song, Qiankun 20 Wei, Junjie 19 Diblík, Josef 19 Mohamad, Sannay 18 Liu, Xinzhi 18 Xu, Daoyi 17 Balasubramaniam, Pagavathigounder 17 Cui, Baotong 17 Guo, Shangjiang 17 Xu, Changjin 16 Al-saedi, Ahmed Eid Salem 16 Han, Maoan 16 Tang, Xianhua 16 Tiwari, Pankaj Kumar 16 Yu, Jian-She 15 Fan, Meng 15 Faria, Teresa 15 Ge, Weigao 15 Huang, Zhenkun 15 Huo, Hai-Feng 14 Chaplain, Mark A. J. 14 Li, Zhong 14 Lu, Chun 14 Samanta, Guru Prasad 14 Song, Yongli 14 Wang, Ke 14 Wang, Linshan 14 Wu, Fuke 14 Wu, Jianhong 14 Yuan, Sanling 13 Alzabut, Jehad O. 13 Chen, Yuming 13 Gyori, Istvan 13 Jiao, Jianjun 13 Kuang, Yang 13 Li, Chuandong 13 Lou, Xuyang 13 Mao, Xuerong 13 Xie, Xiangdong 13 Yuan, Rong 13 Zou, Xingfu 12 He, Xuezhong 12 Li, Kelin 12 Misra, Arvind Kumar 12 Trofimchuk, Sergei I. 12 Yan, Xiangping 12 Zhang, Binggen 11 Ahmad, Shair 11 Akhmet, Marat Ubaydulla 11 Cahlon, Baruch 11 Chen, Xiaoxing 11 Dai, Binxiang 11 Ding, Xiaohua 11 Ma, Zhien 11 Zafer, Ağacık 11 Zhao, Hongyong 10 Ahmad, Bashir 10 Bai, Chuanzhi 10 Bainov, Drumi Dimitrov 10 Davidson, Fordyce A. 10 Fan, Yonghong 10 Fu, Xilin 10 Jiang, Haijun 10 Liz, Eduardo 10 Meng, Xinzhu 10 Ruan, Shigui 10 Schmidt, Darrell 10 Song, Xinyu 10 Stamova, Ivanka Milkova 10 Stavroulakis, Ioannis P. 10 Wei, Xiaopeng 10 Wong, Kwokwo 10 Zhang, Qiang 10 Zhao, Aimin 10 Zhu, Quanxin 9 Abbas, Syed ...and 2,484 more Authors
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### Cited in 265 Serials

 278 Applied Mathematics and Computation 207 Journal of Mathematical Analysis and Applications 145 Nonlinear Analysis. Real World Applications 125 Chaos, Solitons and Fractals 104 Computers & Mathematics with Applications 99 Advances in Difference Equations 82 Applied Mathematics Letters 79 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 67 Abstract and Applied Analysis 66 Discrete Dynamics in Nature and Society 65 Mathematical and Computer Modelling 64 Journal of Computational and Applied Mathematics 55 Nonlinear Dynamics 45 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 41 Neural Networks 41 Communications in Nonlinear Science and Numerical Simulation 40 Journal of the Franklin Institute 39 Applied Mathematical Modelling 34 Mathematical Biosciences 34 Mathematical Methods in the Applied Sciences 33 Journal of Differential Equations 31 Journal of Applied Mathematics and Computing 31 International Journal of Biomathematics 28 Mathematics and Computers in Simulation 26 Physica D 26 Discrete and Continuous Dynamical Systems. Series B 24 Rocky Mountain Journal of Mathematics 24 Nonlinear Analysis. Theory, Methods & Applications 21 Journal of Inequalities and Applications 19 Journal of Applied Mathematics 18 Journal of Difference Equations and Applications 18 Mathematical Problems in Engineering 16 Journal of Mathematical Biology 16 Applied Mathematics. Series B (English Edition) 15 Applicable Analysis 14 Acta Mathematicae Applicatae Sinica. English Series 13 Physics Letters. A 13 Proceedings of the American Mathematical Society 13 Tohoku Mathematical Journal. Second Series 13 Nonlinear Analysis. Hybrid Systems 12 International Journal of Systems Science 12 Journal of Dynamics and Differential Equations 12 Mathematical Biosciences and Engineering 11 Applied Mathematics and Mechanics. (English Edition) 10 Differential Equations and Dynamical Systems 10 Boundary Value Problems 9 Bulletin of the Australian Mathematical Society 9 Czechoslovak Mathematical Journal 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Complexity 9 Journal of Biological Dynamics 9 Journal of Theoretical Biology 8 Bulletin of Mathematical Biology 8 Automatica 8 Acta Applicandae Mathematicae 8 Computational and Applied Mathematics 8 Journal of Nonlinear Science and Applications 7 International Journal of Mathematics and Mathematical Sciences 7 Neural Computation 7 International Journal of Computer Mathematics 7 Chaos 7 Journal of Systems Science and Complexity 7 International Journal of Differential Equations 6 Stochastic Analysis and Applications 6 Dynamics and Stability of Systems 6 Discrete and Continuous Dynamical Systems 6 Journal of Biological Systems 6 The ANZIAM Journal 6 Advances in Complex Systems 6 Journal of Applied Analysis and Computation 5 Mathematische Nachrichten 5 Mathematica Slovaca 5 Systems & Control Letters 5 Science in China. Series A 5 Applications of Mathematics 5 Acta Mathematica Sinica. English Series 5 Nonlinear Analysis. Modelling and Control 4 International Journal of Control 4 Physica A 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applied Numerical Mathematics 4 Japan Journal of Industrial and Applied Mathematics 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Journal of Nonlinear Science 4 Journal of Mathematical Sciences (New York) 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Nonlinear Oscillations 4 Discrete and Continuous Dynamical Systems. Series S 3 Biological Cybernetics 3 Nonlinearity 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 BIT 3 Kybernetika 3 Results in Mathematics 3 Theoretical Computer Science 3 Theoretical Population Biology 3 Statistics & Probability Letters 3 Circuits, Systems, and Signal Processing 3 Automation and Remote Control 3 Russian Mathematics ...and 165 more Serials
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### Cited in 36 Fields

 1,921 Ordinary differential equations (34-XX) 1,605 Biology and other natural sciences (92-XX) 392 Systems theory; control (93-XX) 259 Dynamical systems and ergodic theory (37-XX) 216 Difference and functional equations (39-XX) 197 Partial differential equations (35-XX) 154 Probability theory and stochastic processes (60-XX) 122 Operator theory (47-XX) 118 Numerical analysis (65-XX) 92 Integral equations (45-XX) 85 Computer science (68-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Real functions (26-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 14 Mechanics of particles and systems (70-XX) 14 Operations research, mathematical programming (90-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Information and communication theory, circuits (94-XX) 7 General and overarching topics; collections (00-XX) 6 Statistics (62-XX) 6 Mechanics of deformable solids (74-XX) 4 Abstract harmonic analysis (43-XX) 4 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)