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## Berezansky, Leonid M.

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 Author ID: berezansky.leonid-m Published as: Berezanski, L. M.; Berezanskij, L. M.; Berezansky, L.; Berezansky, Leonid; Berezansky, Leonid M. Homepage: https://www.math.bgu.ac.il/~brznsky/ External Links: MGP · Math-Net.Ru · ResearchGate · dblp
 Documents Indexed: 176 Publications since 1977, including 2 Books Reviewing Activity: 193 Reviews
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#### Co-Authors

 18 single-authored 100 Braverman, Elena 24 Idels, Lev V. 16 Domoshnitsky, Alexander I. 13 Diblík, Josef 11 Šmarda, Zdeněk 10 Azbelev, Nikolaĭ Viktorovich 6 Chistyakov, A. V. 6 Domshlak, Yuriĭ Iosifovich 6 Simonov, Pyotr M. 5 Svoboda, Zdeněk 4 Akça, Haydar 4 Baštinec, Jaromír 3 Bunimovich-Mendrazitsky, Svetlana 3 Troib, Liora 2 Amster, Pablo 2 Anokhin, Alexander V. 2 Gitman, Mikhail 2 Maksimov, Vyacheslav Ivanovich 2 Pinelas, Sandra 2 Rakhmatullina, Lina Fazylovna 2 Stolbov, Valery 1 Agarwal, Ravi P. 1 Chatzarakis, George E. 1 Gil’, Michael Iosif 1 Kipnis, Mikhail Markovich 1 Koplatadze, R. G. 1 Kravets, Oksana 1 Larionov, A. S. 1 Liz, Eduardo 1 Maghakyan, Abraham 1 Malygina, V. V. 1 Migda, Małgorzata 1 Růžičková, Miroslava 1 Schmeidel, Ewa L. 1 Shklyar, Ben-Zion 1 Sokolov, Valery A. 1 Stavroulakis, Ioannis P. 1 Šutá, Zuzana 1 Zafer, Ağacık
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#### Serials

 15 Journal of Mathematical Analysis and Applications 15 Functional Differential Equations 13 Differential Equations 12 Applied Mathematics and Computation 10 Applied Mathematics Letters 7 Abstract and Applied Analysis 6 Computers & Mathematics with Applications 6 Differentsial’nye Uravneniya 6 Electronic Journal of Differential Equations (EJDE) 6 Advances in Difference Equations 5 Zeitschrift für Analysis und ihre Anwendungen 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Dynamic Systems and Applications 4 Journal of Difference Equations and Applications 3 Nonlinearity 3 Journal of Computational and Applied Mathematics 3 Mathematical and Computer Modelling 3 Nonlinear Analysis. Real World Applications 2 Automatica 2 Mathematica Bohemica 2 Differential Equations and Dynamical Systems 2 Electronic Journal of Qualitative Theory of Differential Equations 1 IMA Journal of Applied Mathematics 1 International Journal of Control 1 International Journal of Theoretical Physics 1 Rocky Mountain Journal of Mathematics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Czechoslovak Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Soviet Mathematics. Doklady 1 Applied Mathematical Modelling 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Journal of Dynamics and Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Opuscula Mathematica 1 Communications on Applied Nonlinear Analysis 1 Communications in Applied Analysis 1 Journal of Inequalities and Applications 1 Matematicheskaya Fizika i Nelineĭnaya Mekhanika 1 Journal of Dynamical and Control Systems 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Nonlinear Dynamics and Systems Theory 1 Communications on Pure and Applied Analysis 1 Advances in Dynamical Systems and Applications 1 International Journal of Qualitative Theory of Differential Equations and Applications 1 Advances in Applied Mathematics and Mechanics 1 Journal of Theoretical Biology
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#### Fields

 153 Ordinary differential equations (34-XX) 33 Biology and other natural sciences (92-XX) 18 Difference and functional equations (39-XX) 13 Integral equations (45-XX) 5 Systems theory; control (93-XX) 3 Partial differential equations (35-XX) 3 Operator theory (47-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

#### Citations contained in zbMATH Open

134 Publications have been cited 1,250 times in 772 Documents Cited by Year
Nicholson’s blowflies differential equations revisited: main results and open problems. Zbl 1193.34149
Berezansky, L.; Braverman, E.; Idels, L.
2010
Exponential stability of linear delay impulsive differential equations. Zbl 0837.34076
Anokhin, A.; Berezansky, L.; Braverman, E.
1995
Nonoscillation theory of functional differential equations with applications. Zbl 1253.34002
Agarwal, Ravi P.; Berezansky, Leonid; Braverman, Elena; Domoshnitsky, Alexander I.
2012
On impulsive Beverton-holt difference equations and their applications. Zbl 1068.39005
Berezansky, Leonid; Braverman, Elena
2004
Global dynamics of Nicholson-type delay systems with applications. Zbl 1208.34120
Berezansky, L.; Idels, L.; Troib, L.
2011
On exponential dichotomy, Bohl–Perron type theorems and stability of difference equations. Zbl 1068.39004
Berezansky, L.; Braverman, E.
2005
Oscillation of a linear delay impulsive differential equation. Zbl 0858.34056
Berezansky, L.; Braverman, E.
1996
Linearized oscillation theory for a nonlinear delay impulsive equation. Zbl 1045.34039
Berezansky, Leonid; Braverman, Elena
2003
On stability of some linear and nonlinear delay differential equations. Zbl 1101.34057
Berezansky, Leonid; Braverman, Elena
2006
Sufficient conditions for the global stability of nonautonomous higher order difference equations. Zbl 1078.39005
Berezansky, Leonid; Braverman, Elena; Liz, Eduardo
2005
On existence of positive solutions for linear difference equations with several delays. Zbl 1124.39002
Berezansky, Leonid; Braverman, Elena
2006
On oscillation of a second order impulsive linear delay differential equation. Zbl 0926.34054
Berezansky, L.; Braverman, E.
1999
On non-oscillation of a scalar delay differential equation. Zbl 0890.34059
Berezansky, Leonid; Braverman, Elena
1997
Mackey-Glass model of hematopoiesis with non-monotone feedback: stability, oscillation and control. Zbl 1402.92048
Berezansky, Leonid; Braverman, Elena; Idels, Lev
2013
On exponential stability of linear differential equations with several delays. Zbl 1112.34055
Berezansky, Leonid; Braverman, Elena
2006
On the critical case in oscillation for differential equations with a single delay and with several delays. Zbl 1209.34080
Baštinec, Jaromír; Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk
2010
On exponential stability of a linear delay differential equation with an oscillating coefficient. Zbl 1187.34096
Berezansky, Leonid; Braverman, Elena
2009
New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks. Zbl 1335.92007
Berezansky, Leonid; Braverman, Elena; Idels, Lev
2014
Linearized oscillation theory for a nonlinear equation with a distributed delay. Zbl 1145.45303
Berezansky, Leonid; Braverman, Elena
2008
Exponential stability of some scalar impulsive delay differential equations. Zbl 0901.34068
Berezansky, L.; Idels, L.
1998
Stability of linear delay impulsive differential equations. Zbl 0829.34065
Anokhin, Alexander; Berezansky, Leonid; Braverman, Elena
1995
Stability of linear systems with time-lag. I. Zbl 0652.34079
Azbelev, N. V.; Berezanskij, L. M.; Simonov, P. M.; Chistyakov, A. V.
1987
Explicit exponential stability conditions for linear differential equations with several delays. Zbl 1118.34069
Berezansky, Leonid; Braverman, Elena
2007
On oscillation of a logistic equation with several delays. Zbl 0939.34063
Berezansky, Leonid; Braverman, Elena
2000
Mackey-Glass model of hematopoiesis with monotone feedback revisited. Zbl 1402.92049
Berezansky, Leonid; Braverman, Elena; Idels, Lev
2013
A final result on the oscillation of solutions of the linear discrete delayed equation $${\Delta}x(n) = -p(n)x(n - k)$$ with a positive coefficient. Zbl 1223.39008
Baštinec, J.; Berezansky, L.; Diblík, J.; Šmarda, Z.
2011
Asymptotic convergence of the solutions of a discrete equation with two delays in the critical case. Zbl 1220.39004
Berezansky, L.; Diblík, J.; Růžičková, M.; Šutá, Z.
2011
Stability of the second order delay differential equations with a damping term. Zbl 1180.34077
Berezansky, Leonid; Braverman, Elena; Domoshnitsky, Alexander
2008
On oscillation of equations with distributed delay. Zbl 0995.34059
Berezansky, L.; Braverman, E.
2001
On a delay population model with quadratic nonlinearity. Zbl 1377.34093
Berezansky, Leonid; Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk
2012
Mackey-Glass equation with variable coefficients. Zbl 1101.34062
Berezansky, L.; Braverman, E.
2006
Some oscillation problems for a second-order linear delay differential equation. Zbl 0915.34064
Berezansky, L.; Braverman, E.
1998
On a delay population model with a quadratic nonlinearity without positive steady state. Zbl 1365.92087
Baštinec, Jaromír; Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk
2014
A note on stability of Mackey-Glass equations with two delays. Zbl 1381.34093
Berezansky, Leonid; Braverman, Elena
2017
On some constants for oscillation and stability of delay equations. Zbl 1247.34113
Berezansky, Leonid; Braverman, Elena
2011
New stability conditions for linear differential equations with several delays. Zbl 1222.34089
Berezansky, Leonid; Braverman, Elena
2011
Exponential stability of difference equations with several delays: recursive approach. Zbl 1166.39300
Berezansky, Leonid; Braverman, Elena
2009
Linearized oscillation theory for a nonlinear nonautonomous delay differential equation. Zbl 1025.34069
Berezansky, Leonid; Braverman, Elena
2003
Some stability conditions for scalar Volterra difference equations. Zbl 1343.39030
Berezansky, Leonid; Migda, Maĺgorzata; Schmeidel, Ewa
2016
The Mackey-Glass model of respiratory dynamics: review and new results. Zbl 1259.34080
Berezansky, Leonid; Braverman, Elena; Idels, Lev
2012
Global linearized stability theory for delay differential equations. Zbl 1208.34115
Berezansky, Leonid; Braverman, Elena
2009
Delay differential equations with Hill’s type growth rate and linear harvesting. Zbl 1090.34062
Berezansky, L.; Braverman, E.; Idels, L.
2005
Delay differential logistic equations with harvesting. Zbl 1112.34046
Berezansky, L.; Braverman, E.; Idels, L.
2005
Positive solutions of second-order delay differential equations with a damping term. Zbl 1201.34095
Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk
2010
On nonoscillation of mixed advanced-delay differential equations with positive and negative coefficients. Zbl 1197.34118
Berezansky, Leonid; Braverman, Elena; Pinelas, Sandra
2009
On Bohl-Perron type theorems for linear difference equations. Zbl 1060.39002
Berezansky, L.; Braverman, E.
2004
On oscillation of a food-limited population model with time delay. Zbl 1026.34075
Berezansky, Leonid; Braverman, Elena
2003
Stability of equations with a distributed delay, monotone production and nonlinear mortality. Zbl 1316.34085
Berezansky, Leonid; Braverman, Elena
2013
Oscillation of equations with an infinite distributed delay. Zbl 1218.45006
Berezansky, Leonid; Braverman, Elena
2010
On oscillation properties of delay differential equations with positive and negative coefficients. Zbl 1056.34063
Berezansky, Leonid; Domshlak, Yury; Braverman, Elena
2002
Development of N. V. Azbelev’s W-method for stability problems for solutions of linear functional-differential equations. Zbl 0612.34069
Berezanskij, L. M.
1986
Simple uniform exponential stability conditions for a system of linear delay differential equations. Zbl 1328.34066
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2015
On nonoscillation and stability for systems of differential equations with a distributed delay. Zbl 1239.93049
Berezansky, Leonid; Braverman, Elena
2012
Oscillation and other properties of linear impulsive and nonimpulsive delay equations. Zbl 1054.34108
Berezansky, L.; Braverman, E.
2003
Oscillation criteria for a linear neutral differential equation. Zbl 1055.34123
Berezansky, Leonid; Braverman, Elena
2003
Oscillation properties of a logistic equation with several delays. Zbl 0959.34050
Berezansky, Leonid; Braverman, Elena
2000
Exponential stability of a second order delay differential equation without damping term. Zbl 1338.34129
Berezansky, Leonid; Domoshnitsky, Alexander; Gitman, Mikhail; Stolbov, Valery
2015
Nonoscillation and exponential stability of delay differential equations with oscillating coefficients. Zbl 1203.34103
Berezansky, L.; Braverman, E.
2009
Stability of a time-varying fishing model with delay. Zbl 1141.34350
Berezansky, L.; Idels, L.
2008
Periodic Fox production harvesting models with delay. Zbl 1128.92042
Berezansky, L.; Idels, L.
2008
On exponential dichotomy for linear difference equations with bounded and unbounded delay. Zbl 1127.39007
Berezansky, Leonid; Braverman, Elena
2006
Oscillation properties of a logistic equation with distributed delay. Zbl 1028.34060
Berezansky, Leonid; Braverman, Elena
2003
On oscillation of a linear delay integro-differential equation. Zbl 0934.34059
Berezansky, Leonid; Braverman, Elena; Akça, Haydar
1999
Exponential boundedness of solutions for impulsive delay differential equations. Zbl 0864.34060
Berezansky, L.; Braverman, E.
1996
On linear integro-differential equations with integral impulsive conditions. Zbl 0856.34079
Akça, H.; Berezansky, L.; Braverman, E.
1996
Preservation of the exponential stability under perturbations of linear delay impulsive differential equations. Zbl 0821.34072
Berezansky, L.; Braverman, E.
1995
An evolutionary linear functional-differential equation. Zbl 0396.34005
Azbelev, N. V.; Berezanskij, L. M.; Rakhmatullina, L. F.
1977
Stability conditions for scalar delay differential equations with a non-delay term. Zbl 1328.34065
Berezansky, Leonid; Braverman, Elena
2015
Effect of treatment on the global dynamics of delayed pathological angiogenesis models. Zbl 1315.92043
Berezansky, Leonid; Braverman, Elena; Idels, Lev
2014
A mathematical model of Imatinib and interferon-Alpha combined treatment of chronic myeloid leukemia. Zbl 1317.92033
Berezansky, L.; Bunimovich-Mendrazitsky, S.; Domoshnitsky, A.
2012
Stability and linearization for differential equations with a distributed delay. Zbl 1318.34105
Berezansky, L.; Braverman, E.
2012
On nonoscillation of systems of delay equations. Zbl 1247.34116
Berezansky, L.; Braverman, E.; Domoshnitsky, A.
2011
Positive solutions for a scalar differential equation with several delays. Zbl 1146.34325
Berezansky, Leonid; Braverman, Elena
2008
Nonoscillation of linear delay difference equations with positive and negative coefficients. Zbl 1161.39004
Berezansky, Leonid; Braverman, Elena; Kravets, Oksana
2008
Oscillation of a logistic difference equation with several delays. Zbl 1133.39004
Berezansky, L.; Braverman, E.
2006
Oscillation of a second-order delay differential equation with middle term. Zbl 0976.34058
Berezansky, L.; Braverman, E.
2000
On stability of impulsive differential equations with delay. Zbl 0860.34041
Berezansky, L.; Braverman, E.
1994
Boundedness and stability of impulsively perturbed systems in a Banach space. Zbl 0814.34047
Berezansky, L.; Braverman, E.
1994
Stability of linear systems with aftereffect. IV. Zbl 0796.34062
Azbelev, N. V.; Berezanskij, L. M.; Simonov, P. M.; Chistyakov, A. V.
1993
Exponential stability of linear delayed differential systems. Zbl 1426.34094
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2018
Boundedness and persistence of delay differential equations with mixed nonlinearity. Zbl 1410.34226
Berezansky, Leonid; Braverman, Elena
2016
On multistability of equations with a distributed delay, monotone production and the Allee effect. Zbl 1308.34092
Berezansky, Leonid; Braverman, Elena
2014
Stability of Hahnfeldt angiogenesis models with time lags. Zbl 1255.34073
Amster, Pablo; Berezansky, Leonid; Idels, Lev V.
2012
Periodic solutions of angiogenesis models with time lags. Zbl 1238.34128
Amster, Pablo; Berezansky, Leonid M.; Idels, Lev V.
2012
Preservation of exponential stability for equations with several delays. Zbl 1224.34240
Berezansky, L.; Braverman, E.
2011
Preservation of exponential stability for linear non-autonomous functional differential systems. Zbl 1214.34060
Berezansky, Leonid; Braverman, Elena
2010
On connection between second-order delay differential equations and integrodifferential equations with delay. Zbl 1195.34094
Berezansky, Leonid; Diblík, Josef; Šmarda, Zdenĕk
2010
Non-oscillation properties of a linear neutral differential equations. Zbl 1048.34113
Berezansky, L.; Braverman, E.
2002
Impulsive stabilization of linear delay differential equations. Zbl 0858.34064
Berezansky, Leonid; Braverman, Elena
1996
Boundedness and stability of impulsively perturbed delay differential equations. Zbl 0860.34042
Berezansky, L.; Braverman, E.
1995
Positiveness of the Cauchy matrix of a linear functional-differential equation. Zbl 0701.34077
Berezanskij, L. M.; Larionov, A. S.
1988
Exponential stability tests for linear delayed differential systems depending on all delays. Zbl 1429.34074
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2019
On stability of linear neutral differential equations with variable delays. Zbl 07088821
Berezansky, Leonid; Braverman, Elena
2019
A new stability test for linear neutral differential equations. Zbl 1390.34211
Berezansky, Leonid; Braverman, Elena
2018
W-transform for exponential stability of second order delay differential equations without damping terms. Zbl 1362.34110
Domoshnitsky, Alexander; Maghakyan, Abraham; Berezansky, Leonid
2017
Oscillation properties for a scalar linear difference equation of mixed type. Zbl 1389.39008
Berezansky, Leonid; Pinelas, Sandra
2016
Stability tests for second order linear and nonlinear delayed models. Zbl 1331.34142
Berezansky, Leonid; Braverman, Elena; Idels, Lev
2015
Stability and controllability issues in mathematical modeling of the intensive treatment of leukemia. Zbl 1327.93290
Berezansky, L.; Bunimovich-Mendrazitsky, S.; Shklyar, B.
2015
On stability of cooperative and hereditary systems with a distributed delay. Zbl 1332.34111
Berezansky, Leonid; Braverman, Elena
2015
Oscillations of difference equations with several oscillating coefficients. Zbl 07022295
Berezansky, L.; Chatzarakis, G. E.; Domoshnitsky, A.; Stavroulakis, I. P.
2014
Uniform exponential stability of linear delayed integro-differential vector equations. Zbl 07269184
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2021
Solution estimates and stability tests for linear neutral differential equations. Zbl 07258069
Berezansky, Leonid; Braverman, Elena
2020
Oscillation, nonoscillation, stability and asymptotic properties for second and higher order functional differential equations. Zbl 1435.34003
Berezansky, Leonid; Domoshnitsky, Alexander; Koplatadze, Roman
2020
Solution estimates for linear differential equations with delay. Zbl 1433.34095
Berezansky, Leonid; Braverman, Elena
2020
Exponential stability tests for linear delayed differential systems depending on all delays. Zbl 1429.34074
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2019
On stability of linear neutral differential equations with variable delays. Zbl 07088821
Berezansky, Leonid; Braverman, Elena
2019
On stability of linear neutral differential equations in the Hale form. Zbl 1428.34099
Berezansky, Leonid; Braverman, Elena
2019
On stability of delay equations with positive and negative coefficients with applications. Zbl 1430.34081
Berezansky, Leonid; Braverman, Elena
2019
Exponential stability of linear delayed differential systems. Zbl 1426.34094
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2018
A new stability test for linear neutral differential equations. Zbl 1390.34211
Berezansky, Leonid; Braverman, Elena
2018
A note on stability of Mackey-Glass equations with two delays. Zbl 1381.34093
Berezansky, Leonid; Braverman, Elena
2017
W-transform for exponential stability of second order delay differential equations without damping terms. Zbl 1362.34110
Domoshnitsky, Alexander; Maghakyan, Abraham; Berezansky, Leonid
2017
Instability for a class of second order delay differential equations. Zbl 1413.34228
Berezansky, Leonid; Domoshnitsky, Alexander
2017
Some stability conditions for scalar Volterra difference equations. Zbl 1343.39030
Berezansky, Leonid; Migda, Maĺgorzata; Schmeidel, Ewa
2016
Boundedness and persistence of delay differential equations with mixed nonlinearity. Zbl 1410.34226
Berezansky, Leonid; Braverman, Elena
2016
Oscillation properties for a scalar linear difference equation of mixed type. Zbl 1389.39008
Berezansky, Leonid; Pinelas, Sandra
2016
New exponential stability conditions for linear delayed systems of differential equations. Zbl 1389.34227
Berezansky, Leonid; Diblik, Josef; Svoboda, Zdenek; Smarda, Zdenek
2016
Simple uniform exponential stability conditions for a system of linear delay differential equations. Zbl 1328.34066
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2015
Exponential stability of a second order delay differential equation without damping term. Zbl 1338.34129
Berezansky, Leonid; Domoshnitsky, Alexander; Gitman, Mikhail; Stolbov, Valery
2015
Stability conditions for scalar delay differential equations with a non-delay term. Zbl 1328.34065
Berezansky, Leonid; Braverman, Elena
2015
Stability tests for second order linear and nonlinear delayed models. Zbl 1331.34142
Berezansky, Leonid; Braverman, Elena; Idels, Lev
2015
Stability and controllability issues in mathematical modeling of the intensive treatment of leukemia. Zbl 1327.93290
Berezansky, L.; Bunimovich-Mendrazitsky, S.; Shklyar, B.
2015
On stability of cooperative and hereditary systems with a distributed delay. Zbl 1332.34111
Berezansky, Leonid; Braverman, Elena
2015
New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks. Zbl 1335.92007
Berezansky, Leonid; Braverman, Elena; Idels, Lev
2014
On a delay population model with a quadratic nonlinearity without positive steady state. Zbl 1365.92087
Baštinec, Jaromír; Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk
2014
Effect of treatment on the global dynamics of delayed pathological angiogenesis models. Zbl 1315.92043
Berezansky, Leonid; Braverman, Elena; Idels, Lev
2014
On multistability of equations with a distributed delay, monotone production and the Allee effect. Zbl 1308.34092
Berezansky, Leonid; Braverman, Elena
2014
Oscillations of difference equations with several oscillating coefficients. Zbl 07022295
Berezansky, L.; Chatzarakis, G. E.; Domoshnitsky, A.; Stavroulakis, I. P.
2014
Mackey-Glass model of hematopoiesis with non-monotone feedback: stability, oscillation and control. Zbl 1402.92048
Berezansky, Leonid; Braverman, Elena; Idels, Lev
2013
Mackey-Glass model of hematopoiesis with monotone feedback revisited. Zbl 1402.92049
Berezansky, Leonid; Braverman, Elena; Idels, Lev
2013
Stability of equations with a distributed delay, monotone production and nonlinear mortality. Zbl 1316.34085
Berezansky, Leonid; Braverman, Elena
2013
Nonoscillation theory of functional differential equations with applications. Zbl 1253.34002
Agarwal, Ravi P.; Berezansky, Leonid; Braverman, Elena; Domoshnitsky, Alexander I.
2012
On a delay population model with quadratic nonlinearity. Zbl 1377.34093
Berezansky, Leonid; Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk
2012
The Mackey-Glass model of respiratory dynamics: review and new results. Zbl 1259.34080
Berezansky, Leonid; Braverman, Elena; Idels, Lev
2012
On nonoscillation and stability for systems of differential equations with a distributed delay. Zbl 1239.93049
Berezansky, Leonid; Braverman, Elena
2012
A mathematical model of Imatinib and interferon-Alpha combined treatment of chronic myeloid leukemia. Zbl 1317.92033
Berezansky, L.; Bunimovich-Mendrazitsky, S.; Domoshnitsky, A.
2012
Stability and linearization for differential equations with a distributed delay. Zbl 1318.34105
Berezansky, L.; Braverman, E.
2012
Stability of Hahnfeldt angiogenesis models with time lags. Zbl 1255.34073
Amster, Pablo; Berezansky, Leonid; Idels, Lev V.
2012
Periodic solutions of angiogenesis models with time lags. Zbl 1238.34128
Amster, Pablo; Berezansky, Leonid M.; Idels, Lev V.
2012
A mathematical model with time-varying delays in the combined treatment of chronic myeloid leukemia. Zbl 1377.92042
Berezansky, Leonid; Bunimovich-Mendrazitsky, Svetlana; Domoshnitsky, Alexander
2012
On the existence of positive solutions for systems of differential equations with a distributed delay. Zbl 1247.34114
Berezansky, Leonid; Braverman, Elena
2012
Global dynamics of Nicholson-type delay systems with applications. Zbl 1208.34120
Berezansky, L.; Idels, L.; Troib, L.
2011
A final result on the oscillation of solutions of the linear discrete delayed equation $${\Delta}x(n) = -p(n)x(n - k)$$ with a positive coefficient. Zbl 1223.39008
Baštinec, J.; Berezansky, L.; Diblík, J.; Šmarda, Z.
2011
Asymptotic convergence of the solutions of a discrete equation with two delays in the critical case. Zbl 1220.39004
Berezansky, L.; Diblík, J.; Růžičková, M.; Šutá, Z.
2011
On some constants for oscillation and stability of delay equations. Zbl 1247.34113
Berezansky, Leonid; Braverman, Elena
2011
New stability conditions for linear differential equations with several delays. Zbl 1222.34089
Berezansky, Leonid; Braverman, Elena
2011
On nonoscillation of systems of delay equations. Zbl 1247.34116
Berezansky, L.; Braverman, E.; Domoshnitsky, A.
2011
Preservation of exponential stability for equations with several delays. Zbl 1224.34240
Berezansky, L.; Braverman, E.
2011
Stability of linear differential equations with a distributed delay. Zbl 1235.34192
Berezansky, Leonid; Braverman, Elena
2011
On tracking trajectory and control of a linear hereditary system. Zbl 1247.34126
Akca, H.; Berezansky, L.; Maksimov, V.
2011
Global dynamics of one class of nonlinear nonautonomous systems with time-varying delays. Zbl 1236.34102
Berezansky, L.; Idels, L.; Troib, L.
2011
Nicholson’s blowflies differential equations revisited: main results and open problems. Zbl 1193.34149
Berezansky, L.; Braverman, E.; Idels, L.
2010
On the critical case in oscillation for differential equations with a single delay and with several delays. Zbl 1209.34080
Baštinec, Jaromír; Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk
2010
Positive solutions of second-order delay differential equations with a damping term. Zbl 1201.34095
Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk
2010
Oscillation of equations with an infinite distributed delay. Zbl 1218.45006
Berezansky, Leonid; Braverman, Elena
2010
Preservation of exponential stability for linear non-autonomous functional differential systems. Zbl 1214.34060
Berezansky, Leonid; Braverman, Elena
2010
On connection between second-order delay differential equations and integrodifferential equations with delay. Zbl 1195.34094
Berezansky, Leonid; Diblík, Josef; Šmarda, Zdenĕk
2010
On exponential stability of a linear delay differential equation with an oscillating coefficient. Zbl 1187.34096
Berezansky, Leonid; Braverman, Elena
2009
Exponential stability of difference equations with several delays: recursive approach. Zbl 1166.39300
Berezansky, Leonid; Braverman, Elena
2009
Global linearized stability theory for delay differential equations. Zbl 1208.34115
Berezansky, Leonid; Braverman, Elena
2009
On nonoscillation of mixed advanced-delay differential equations with positive and negative coefficients. Zbl 1197.34118
Berezansky, Leonid; Braverman, Elena; Pinelas, Sandra
2009
Nonoscillation and exponential stability of delay differential equations with oscillating coefficients. Zbl 1203.34103
Berezansky, L.; Braverman, E.
2009
Nonoscillation and stability of the second order ordinary differential equations with a damping term. Zbl 1193.34065
Berezansky, Leonid; Braverman, Elena; Domoshnitsky, Alexander
2009
Linearized oscillation theory for a nonlinear equation with a distributed delay. Zbl 1145.45303
Berezansky, Leonid; Braverman, Elena
2008
Stability of the second order delay differential equations with a damping term. Zbl 1180.34077
Berezansky, Leonid; Braverman, Elena; Domoshnitsky, Alexander
2008
Stability of a time-varying fishing model with delay. Zbl 1141.34350
Berezansky, L.; Idels, L.
2008
Periodic Fox production harvesting models with delay. Zbl 1128.92042
Berezansky, L.; Idels, L.
2008
Positive solutions for a scalar differential equation with several delays. Zbl 1146.34325
Berezansky, Leonid; Braverman, Elena
2008
Nonoscillation of linear delay difference equations with positive and negative coefficients. Zbl 1161.39004
Berezansky, Leonid; Braverman, Elena; Kravets, Oksana
2008
First order functional differential equations: nonoscillation and positivity of Green’s functions. Zbl 1156.34049
Berezansky, L.; Braverman, E.; Domoshnitsky, A.
2008
Impulsive equations: overview and open problems. Zbl 1161.34054
Berezansky, L.; Braverman, E.
2008
Explicit exponential stability conditions for linear differential equations with several delays. Zbl 1118.34069
Berezansky, Leonid; Braverman, Elena
2007
Population models with delay in dynamic environment. Zbl 1157.34345
Berezansky, L.; Idels, L.
2007
On stability of some linear and nonlinear delay differential equations. Zbl 1101.34057
Berezansky, Leonid; Braverman, Elena
2006
On existence of positive solutions for linear difference equations with several delays. Zbl 1124.39002
Berezansky, Leonid; Braverman, Elena
2006
On exponential stability of linear differential equations with several delays. Zbl 1112.34055
Berezansky, Leonid; Braverman, Elena
2006
Mackey-Glass equation with variable coefficients. Zbl 1101.34062
Berezansky, L.; Braverman, E.
2006
On exponential dichotomy for linear difference equations with bounded and unbounded delay. Zbl 1127.39007
Berezansky, Leonid; Braverman, Elena
2006
Oscillation of a logistic difference equation with several delays. Zbl 1133.39004
Berezansky, L.; Braverman, E.
2006
Can a solution of a linear delay differential equation have an infinite number of isolated zeros on a finite interval? Zbl 1141.34335
Berezansky, Leonid; Domshlak, Yury
2006
On exponential dichotomy, Bohl–Perron type theorems and stability of difference equations. Zbl 1068.39004
Berezansky, L.; Braverman, E.
2005
Sufficient conditions for the global stability of nonautonomous higher order difference equations. Zbl 1078.39005
Berezansky, Leonid; Braverman, Elena; Liz, Eduardo
2005
Delay differential equations with Hill’s type growth rate and linear harvesting. Zbl 1090.34062
Berezansky, L.; Braverman, E.; Idels, L.
2005
Delay differential logistic equations with harvesting. Zbl 1112.34046
Berezansky, L.; Braverman, E.; Idels, L.
2005
Oscillation and asymptotic stability of a delay differential equation with Richard’s nonlinearity. Zbl 1085.34051
Berezansky, Leonid; Idels, Lev
2005
On impulsive Beverton-holt difference equations and their applications. Zbl 1068.39005
Berezansky, Leonid; Braverman, Elena
2004
On Bohl-Perron type theorems for linear difference equations. Zbl 1060.39002
Berezansky, L.; Braverman, E.
2004
Linearized oscillation theory for a nonlinear delay impulsive equation. Zbl 1045.34039
Berezansky, Leonid; Braverman, Elena
2003
Linearized oscillation theory for a nonlinear nonautonomous delay differential equation. Zbl 1025.34069
Berezansky, Leonid; Braverman, Elena
2003
On oscillation of a food-limited population model with time delay. Zbl 1026.34075
Berezansky, Leonid; Braverman, Elena
2003
Oscillation and other properties of linear impulsive and nonimpulsive delay equations. Zbl 1054.34108
Berezansky, L.; Braverman, E.
2003
Oscillation criteria for a linear neutral differential equation. Zbl 1055.34123
Berezansky, Leonid; Braverman, Elena
2003
Oscillation properties of a logistic equation with distributed delay. Zbl 1028.34060
Berezansky, Leonid; Braverman, Elena
2003
Oscillation for equations with positive and negative coefficients and distributed delay. II: Applications. Zbl 1045.34040
Berezansky, Leonid; Braverman, Elena
2003
Delay differential logistic equations with a nonlinear harvesting function. Zbl 1055.34131
Berezansky, L.; Braverman, E.; Idels, L.
2003
Oscillation for equations with positive and negative coefficients and with distributed delay I: General results. Zbl 1025.34064
Berezansky, Leonid; Braverman, Elena
2003
On oscillation properties of delay differential equations with positive and negative coefficients. Zbl 1056.34063
Berezansky, Leonid; Domshlak, Yury; Braverman, Elena
2002
Non-oscillation properties of a linear neutral differential equations. Zbl 1048.34113
Berezansky, L.; Braverman, E.
2002
On oscillation of an impulsive logistic equation. Zbl 1015.34055
Berezansky, Leonid; Braverman, Elena
2002
Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory. II. Zbl 1016.34066
Berezansky, Leonid; Domshlak, Yury
2002
...and 34 more Documents
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#### Cited by 773 Authors

 87 Berezansky, Leonid M. 77 Braverman, Elena 48 Diblík, Josef 33 Stević, Stevo 24 Šmarda, Zdeněk 17 Chatzarakis, George E. 17 Idels, Lev V. 17 Yan, Jurang 16 Domoshnitsky, Alexander I. 16 Shen, Jianhua 15 Stavroulakis, Ioannis P. 12 Wang, Wentao 11 Kadiev, Ramazan Ismailovich 10 Faria, Teresa 10 Liu, Xinzhi 10 Svoboda, Zdeněk 9 Iričanin, Bratislav D. 9 Karpuz, Başak 9 Liu, Bingwen 9 Malygina, V. V. 9 Matveeva, Inessa Izotovna 8 Amster, Pablo 8 El-Morshedy, Hassan A. 8 Gyori, Istvan 8 Kúdelčíková, Mária 8 Růžičková, Miroslava 7 Sasu, Bogdan 6 Alzabut, Jehad O. 6 Baštinec, Jaromír 6 Horváth, László 6 Pinelas, Sandra 6 Yao, Zhijian 5 Akça, Haydar 5 Bohner, Martin J. 5 Cao, Jinde 5 Chen, Lansun 5 de la Sen, Manuel 5 Huang, Chuangxia 5 Le Van Hien 5 Li, Tongxing 5 Li, Xiaodi 5 Luo, Zhiguo 5 Migda, Małgorzata 5 Pašić, Mervan 5 Ponosov, Arcady V. 5 Shao, Jianying 5 Shklyar, Roman B. 5 Yang, Zhichun 5 Zhang, Chengjian 4 Agarwal, Ravi P. 4 Akhmet, Marat Ubaydulla 4 Bunimovich-Mendrazitsky, Svetlana 4 Chudinov, Kirill M. 4 Ding, Huisheng 4 Gil’, Michael Iosif 4 Karakoç, Fatma 4 Kulikov, A. Yu. 4 Li, Yongkun 4 Liu, Anping 4 Meng, Xinzhu 4 Ocalan, Ozkan 4 Pham Huu Anh Ngoc 4 Schmeidel, Ewa L. 4 Shaikhet, Leonid Efimovich 4 Streipert, Sabrina H. 4 Sugie, Jitsuro 4 Šutá, Zuzana 4 Tang, Sanyi 4 Wang, Qing 4 Xu, Changjin 4 Xu, Yanli 4 Yan, Yan 4 Zafer, Ağacık 4 Zhao, Aimin 3 Alsharawi, Ziyad 3 Ardjouni, Abdelouaheb 3 Bereketoglu, Huseyin 3 Cheke, Robert A. 3 Chen, Wei 3 Chen, Wei 3 Chen, Wuhua 3 Chupáč, Radoslav 3 Deboli, Alberto 3 Ding, Xiaohua 3 Djoudi, Ahcene 3 Duan, Lian 3 Duan, Yongrui 3 Efimov, Denis V. 3 Fridman, Emilia 3 Fu, Xilin 3 Gao, Jianfang 3 Gong, Shuhua 3 Guan, Kaizhong 3 Guo, Zhonghai 3 Han, Zhenlai 3 Huang, Tingwen 3 Jiang, Daqing 3 Kang, Shin Min 3 Kosmala, Witold A. J. 3 Li, Chuandong ...and 673 more Authors
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#### Cited in 148 Serials

 73 Applied Mathematics and Computation 62 Advances in Difference Equations 48 Journal of Mathematical Analysis and Applications 45 Applied Mathematics Letters 44 Abstract and Applied Analysis 29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Computers & Mathematics with Applications 18 Journal of Difference Equations and Applications 18 Nonlinear Analysis. Real World Applications 17 Mathematical Methods in the Applied Sciences 16 Journal of Computational and Applied Mathematics 13 Applied Mathematical Modelling 13 Russian Mathematics 13 Discrete Dynamics in Nature and Society 10 Mathematical and Computer Modelling 10 Nonlinear Dynamics 10 Journal of Inequalities and Applications 10 Communications in Nonlinear Science and Numerical Simulation 9 Journal of Differential Equations 9 Differential Equations 7 Automatica 7 Journal of Dynamics and Differential Equations 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Functional Differential Equations 6 Rocky Mountain Journal of Mathematics 6 Journal of Applied Mathematics and Computing 6 International Journal of Biomathematics 5 International Journal of Control 5 Chaos, Solitons and Fractals 5 Systems & Control Letters 5 Zeitschrift für Analysis und ihre Anwendungen 5 Discrete and Continuous Dynamical Systems. Series B 5 Symmetry 4 Siberian Mathematical Journal 4 Acta Mathematica Hungarica 4 International Journal of Robust and Nonlinear Control 4 Journal of Mathematical Sciences (New York) 4 Opuscula Mathematica 4 Discrete and Continuous Dynamical Systems 4 Journal of Applied Mathematics 4 Boundary Value Problems 4 Journal of Applied Analysis and Computation 3 Mathematical Biosciences 3 Nonlinearity 3 Mathematics and Computers in Simulation 3 Circuits, Systems, and Signal Processing 3 Electronic Journal of Differential Equations (EJDE) 3 Georgian Mathematical Journal 3 NoDEA. Nonlinear Differential Equations and Applications 3 Differential Equations and Dynamical Systems 3 Vietnam Journal of Mathematics 3 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 3 Mediterranean Journal of Mathematics 3 Journal of Biological Dynamics 3 Journal of Fixed Point Theory and Applications 3 Nonlinear Analysis. Hybrid Systems 3 Discrete and Continuous Dynamical Systems. Series S 2 Journal of the Franklin Institute 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Acta Mathematica Vietnamica 2 Journal of Optimization Theory and Applications 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 MCSS. Mathematics of Control, Signals, and Systems 2 Journal of Scientific Computing 2 Neural Networks 2 Computational Mathematics and Mathematical Physics 2 Journal of Nonlinear Science 2 The Journal of Analysis 2 Turkish Journal of Mathematics 2 Complexity 2 Mathematical Problems in Engineering 2 Chaos 2 LMS Journal of Computation and Mathematics 2 Acta Mathematica Sinica. English Series 2 Dynamical Systems 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Central European Journal of Mathematics 2 Mathematical Biosciences and Engineering 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Applications and Applied Mathematics 2 International Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 International Journal of Theoretical Physics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Physics Letters. A 1 Theoretical and Mathematical Physics 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Mathematica Slovaca 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Acta Applicandae Mathematicae ...and 48 more Serials
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#### Cited in 27 Fields

 513 Ordinary differential equations (34-XX) 207 Biology and other natural sciences (92-XX) 169 Difference and functional equations (39-XX) 73 Systems theory; control (93-XX) 41 Dynamical systems and ergodic theory (37-XX) 38 Partial differential equations (35-XX) 32 Numerical analysis (65-XX) 30 Operator theory (47-XX) 23 Integral equations (45-XX) 19 Probability theory and stochastic processes (60-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 6 Computer science (68-XX) 3 Real functions (26-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX)