Leonid Berezansky
 

Department of Mathematics, BGU

E-mail: brznsky@math.bgu.ac.il 

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Teaching:

Mathematical analysis, probability theory

 Courses:  Probability Theory I   Calculus 2 for Biotechnology

 

Research interests:

Functional-differential equations, difference equations, impulsive equations,

Mathematical Biology, stability, oscillation

  

Recent presentations:

 

 

Publications:

·        Berezansky, Leonid; Braverman, Elena; Idels, Lev Mackey-Glass model of hematopoiesis with non-monotone feedback: stability, oscillation and control [pdf]. Appl. Math. Comput. 219 (2013), no. 11, 6268–6283.

·        Berezansky, Leonid; Braverman, Elena; Idels, Lev Mackey-Glass model of hematopoiesis with monotone feedback revisited[pdf]. Appl. Math. Comput. 219 (2013), no. 9, 4892–4907.

·        Berezansky, Leonid; Bastinec, Jaromir; Diblik, Josef; Smarda, Zdenek On a delay population model with quadratic nonlinearity[pdf]. Adv. Difference Equ. 2012, 2012:230

·        Berezansky, Leonid; Bunimovich-Mendrazitsky, Svetlana; Domoshnitsky, Alexander A mathematical model with time-varying delays in the combined treatment of chronic myeloid leukemia[pdf]. Adv. Difference Equ. 2012, 2012:217, 13 pp.

·        Berezansky, Leonid; Braverman, Elena; Idels, Lev The Mackey-Glass model of respiratory dynamics: review and new results[pdf]. Nonlinear Anal. 75 (2012), no. 16, 6034–6052.

·        Amster, P.; Berezansky, L.; Idels, L. Stability of Hahnfeldt angiogenesis models with time lags[pdf]. Math. Comput. Modelling 55 (2012), no. 9-10, 2052–2060.

·        Berezansky, Leonid; Braverman, Elena On nonoscillation and stability for systems of differential equations with a distributed delay[pdf]. Automatica J. IFAC 48 (2012), no. 4, 612–618.

·        Berezansky, Leonid; Braverman, Elena On the existence of positive solutions for systems of differential equations with a distributed delay[pdf]. Comput. Math. Appl. 63 (2012), no. 7, 1256–1265.

·        Agarwal, Ravi P.; Berezansky, Leonid; Braverman, Elena; Domoshnitsky, Alexander Nonoscillation theory of functional differential equations with applications[pdf]. Springer, New York, 2012. xvi+520 pp.

·        Amster, P.; Berezansky, L.; Idels, L. Periodic solutions of angiogenesis models with time lags[pdf]. Nonlinear Anal. Real World Appl. 13 (2012), no. 1, 299–311.

·        Berezansky, Leonid; Gil', Michael; Troib, Liora Perturbations of multipliers of systems of periodic ordinary differential equations. Adv. Appl. Math. Mech. 3 (2011), no. 5, 562–571.

·        Akca, H.; Berezansky, L.; Maksimov, V. On tracking trajectory and control of a linear hereditary system. Funct. Differ. Equ. 18 (2011), no. 1-2, 13–28.

·        Berezansky, L.; Braverman, E.; Domoshnitsky, A. On nonoscillation of systems of delay equations[ref]. Funkcial. Ekvac. 54 (2011), no. 2, 275–296.

·        Berezansky, Leonid; Braverman, Elena Preservation of exponential stability for equations with several delays. Math. Bohem. 136 (2011), no. 2, 135–144.

·        Berezansky, L.; Idels, L.; Troib, L. Global dynamics of one class of nonlinear nonautonomous systems with time-varying delays[ref]. Nonlinear Anal. 74 (2011), no. 18, 7499–7512. 

·        Bastinec, J.; Berezansky, L.; Diblik, J.; Smarda, Z. A final result on the oscillation of solutions of the linear discrete delayed equation with a positive

Coefficient[pdf]. Abstr. Appl. Anal. 2011, Art. ID 586328, 28 pp.

·        Berezansky, L.; Diblik, J.; Ruzhichkova, M.; Zuta, Z. Asymptotic convergence of the solutions of a discrete equation with two delays in the critical case[pdf]. Abstr.

Appl. Anal. 2011, Art. ID 709427, 15 pp.

·        Berezansky, Leonid; Braverman, Elena On some constants for oscillation and stability of delay equations[pdf]. Proc. Amer. Math. Soc. 139 (2011), no. 11, 4017–4026. 

·        Berezansky, Leonid; Braverman, Elena New stability conditions for linear differential equations with several delays[pdf]. Abstr. Appl. Anal. 2011, Art. ID 178568, 19 pp.

·        Berezansky, Leonid; Braverman, Elena New stability conditions for linear difference equations using Bohl-Perron type theorems[pdf]. J. Difference Equ. Appl. 17 (2011), no. 5, 657–675.

·        Berezansky, Leonid; Braverman, Elena Stability of linear differential equations with a distributed delay[pdf]. Commun. Pure Appl. Anal. 10 (2011), no. 5, 1361–1375.

·        Berezansky, L.; Braverman, E. On nonoscillation of advanced differential equations with several terms[pdf]. Abstr. Appl. Anal. 2011, Art. ID 637142, 14 pp.

·        Berezansky, L.; Idels, L.; Kipnis, M. Mathematical model of marine protected areas[pdf]. IMA J. Appl. Math. 76 (2011), no. 2, 312–325.

·        Berezansky, L.; Idels, L.; Troib, L. Global dynamics of Nicholson-type delay systems with applications[pdf]. Nonlinear Anal. Real World Appl. 12 (2011), no. 1, 436–445.

·        Berezansky, Leonid; Braverman, Elena Preservation of exponential stability for linear non-autonomous functional differential systems[pdf]. Automatica J. IFAC 46 (2010), no. 12, 2077–2081.

·        Berezansky, Leonid; Braverman, Elena Oscillation of equations with an infinite distributed delay[pdf]. Comput. Math. Appl. 60 (2010), no. 9, 2583–2593.

·        Bastinec, Jaromir; Berezansky, Leonid; Diblik, Josef; Smarda, Zdenek On the critical case in oscillation for differential equations with a single delay and with

several delays[pdf]. Abstr. Appl. Anal. 2010, Art. ID 417869, 20 pp.

·        Berezansky, Leonid; Diblik, Josef; Smarda, Zdenek Positive solutions of second-order delay differential equations with a damping term[pdf]. Comput. Math. Appl. 60 (2010), no. 5, 1332–1342.

·        Berezansky, L.; Braverman, E.; Idels, L. Nicholson's blowflies differential equations revisited: main results and open problems[pdf]. Appl. Math. Model. 34 (2010), no. 6, 1405–1417.

·        Berezansky, Leonid; Diblik, Josef; Smarda, Zdenek On connection between second-order delay differential equations and integrodifferential equations with delay[pdf]. Adv. Difference Equ. 2010, Art. ID 143298, 8 pp.

·        Berezansky, Leonid; Braverman, Elena On exponential stability of a linear delay differential equation with an oscillating coefficient[pdf]. Appl. Math. Lett. 22 (2009), no. 12, 1833–1837.

·        Berezansky, Leonid; Braverman, Elena; Pinelas, Sandra On nonoscillation of mixed advanced-delay differential equations with positive and negative coefficients[pdf]. Comput. Math. Appl. 58 (2009), no. 4, 766–775.

·        Berezansky, Leonid; Braverman, Elena; Domoshnitsky, Alexander Nonoscillation and stability of the second order ordinary differential equations with a damping term. Funct. Differ. Equ. 16 (2009), no. 1, 169–197.

·        Berezansky, Leonid; Braverman, Elena Global linearized stability theory for delay differential equations[pdf]. Nonlinear Anal. 71 (2009), no. 7-8, 2614–2624.

·        Berezansky, Leonid; Braverman, Elena Exponential stability of difference equations with several delays: recursive approach[pdf]. Adv. Difference Equ. 2009, Art. ID 104310, 13 pp.

·        Berezansky, L.; Braverman, E. Nonoscillation and exponential stability of delay differential equations with oscillating coefficients[pdf]. J. Dyn. Control Syst. 15

(2009), no. 1, 63–82.

·        Berezansky, Leonid; Domshlak, Yury; Braverman, Elena Corrigendum to: "On oscillation properties of delay differential equations with positive and negative

coefficients''[pdf] [J. Math. Anal. Appl. 274 (2002), no. 1, 81–101; MR1936688]. J. Math. Anal. Appl. 351 (2009), no. 2, 819–820.

·        Berezansky, Leonid; Braverman, Elena; Domoshnitsky, Alexander Stability of the second order delay differential equations with a damping term[pdf]. Differ. Equ. Dyn. Syst. 16 (2008), no. 3, 185–205.

·        Berezansky, Leonid; Braverman, Elena Linearized oscillation theory for a nonlinear equation with a distributed delay[pdf]. Math. Comput. Modelling 48 (2008), no. 1-2, 287–304.

·        Berezansky, Leonid; Braverman, Elena; Kravets, Oksana Nonoscillation of linear delay difference equations with positive and negative coefficient[pdf]s. J. Difference Equ. Appl. 14 (2008), no. 5, 495–511.

·        Berezansky, Leonid; Braverman, Elena Positive solutions for a scalar differential equation with several delays[pdf]. Appl. Math. Lett. 21 (2008), no. 6, 636–640.

·        Berezansky, L.; Idels, L. Stability of a time-varying fishing model with delay[pdf]. Appl. Math. Lett. 21 (2008), no. 5, 447–452.

·        Berezansky, L.; Braverman, E.; Domoshnitsky, A. First order functional differential equations: nonoscillation and positivity of Green's functions. Funct. Differ.

Equ. 15 (2008), no. 1-2, 57–94.

·        Berezansky, L.; Braverman, E. Impulsive equations: overview and open problems. Funct. Differ. Equ. 15 (2008), no. 1-2, 39–56.

·        Berezansky, L.; Idels, L. Periodic Fox production harvesting models with delay[pdf]. Appl. Math. Comput. 195 (2008), no. 1, 142–153.

·        Berezansky, Leonid; Braverman, Elena Explicit exponential stability conditions for linear differential equations with several delays[pdf]. J. Math. Anal. Appl. 332

(2007), no. 1, 246–264.

·        Berezansky, Leonid; Braverman, Elena On exponential dichotomy for linear difference equations with bounded and unbounded delay. Differential & difference equations and applications, 169–178, Hindawi Publ. Corp., New York, 2006.

·        Berezansky, Leonid; Braverman, Elena On existence of positive solutions for linear difference equations with several delays. Adv. Dyn. Syst. Appl. 1 (2006),

no. 1, 29–47.

·        Berezansky, Leonid; Braverman, Elena On existence and attractivity of periodic solutions for the hematopoiesis equation. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 13B (2006), suppl., 103–116.

·        Berezansky, Leonid; Braverman, Elena On exponential stability of linear differential equations with several delays[pdf]. J. Math. Anal. Appl. 324 (2006), no. 2, 1336–1355.

·        Berezansky, Leonid; Domshlak, Yury Can a solution of a linear delay differential equation have an infinite number of isolated zeros on a finite interval?[pdf] Appl.

Math. Lett. 19 (2006), no. 6, 587–589.

·        Berezansky, L.; Braverman, E. Oscillation of a logistic difference equation with several delays. Adv. Difference Equ. 2006, Art. 82143, 1–12.

·        Berezansky, L.; Braverman, E. Mackey-Glass equation with variable coefficients[pdf]. Comput. Math. Appl. 51 (2006), no. 1, 1–16.

·        Berezansky, Leonid; Braverman, Elena On stability of some linear and nonlinear delay differential equations[pdf]. J. Math. Anal. Appl. 314 (2006), no. 2, 391–411.

·        Berezansky, Leonid; Braverman, Elena; Liz, Eduardo Sufficient conditions for the global stability of nonautonomous higher order difference equations[pdf]. J. Difference Equ. Appl. 11 (2005), no. 9, 785–798.

·        Berezansky, Leonid; Idels, Lev Oscillation and asymptotic stability of a delay differential equation with Richard's nonlinearity. Proceedings of the 2004 Conference on Differential Equations and Applications in Mathematical Biology, 8 pp., Electron. J. Differ. Equ. Conf., 12, Texas State Univ.–San Marcos, Dept. Math., San Marcos, TX, 2005.

·        Berezansky, L.; Braverman, E. On persistence of a delay differential equation with positive and negative coefficients. Funct. Differ. Equ. 12 (2005), no. 1-2, 95–107.

·        Berezansky, L.; Braverman, E. On exponential dichotomy, Bohl-Perron type theorems and stability of difference equations[pdf]. J. Math. Anal. Appl. 304 (2005), no. 2, 511–530.

·        Berezansky, L.; Braverman, E.; Idels, L. Delay differential equations with Hill's type growth rate and linear harvesting[pdf]. Comput. Math. Appl. 49 (2005), no. 4, 549–563.

·        Berezansky, Leonid; Braverman, Elena; Idels, Lev On oscillation of nonlinear delay equations of population dynamics. International Conference on Fixed Point Theory and Applications, 1–14, Yokohama Publ., Yokohama, 2004.

·        Publisher's note: "Delay differential logistic equations with harvesting''[pdf] [Math. Comput. Modelling 39 (2004), no. 11-12, 1243–1259; MR2078425] by L. Berezansky, E. Braverman and L. Idels. Math. Comput. Modelling 40 (2004), no. 13, 1507–1525 (2005).

·        Berezansky, L.; Braverman, E.; Idels, L. Delay differential logistic equations with harvesting[pdf].Math. Comput. Modelling 39 (2004), no. 11-12, 1243–1259.

·        Berezansky, Leonid; Braverman, Elena On impulsive Beverton-Holt difference equations and their applications[pdf]. J. Difference Equ. Appl. 10 (2004), no. 9, 851–868.

·        Berezansky, L.; Braverman, E. On Bohl-Perron type theorems for linear difference equations. Dedicated to Istvan Gyori on the occasion of his sixtieth birthday. Funct. Differ. Equ. 11 (2004), no. 1-2, 19–28.

·        Berezansky, Leonid; Domshlak, Yury Damped second order linear differential equation with deviating arguments: sharp results in oscillation properties. Electron. J. Differential Equations 2004, No. 59, 30 pp. (electronic).

·        Berezansky, Leonid; Braverman, Elena On oscillation of a food-limited population model with time delay [MR1954246]. Proceedings of the International Conference on Fixed-Point Theory and its Applications, 55–66, Hindawi Publ. Corp., Cairo, 2003.

·        Berezansky, L.; Braverman, E.; Idels, L. Delay differential logistic equations with a nonlinear harvesting function. Functional differential equations and

applications (Beer-Sheva, 2002). Funct. Differ. Equ. 10 (2003), no. 1-2, 83–94.

·        Berezansky, Leonid; Braverman, Elena Linearized oscillation theory for a nonlinear delay impulsive equation[pdf]. J. Comput. Appl. Math. 161 (2003), no. 2, 477–495.

·        Berezansky, L.; Braverman, E. Oscillation and other properties of linear impulsive and nonimpulsive delay equations[pdf]. Appl. Math. Lett. 16 (2003), no. 7, 1025–1030.

·        Berezansky, Leonid; Braverman, Elena Oscillation criteria for a linear neutral differential equation[pdf]. J. Math. Anal. Appl. 286 (2003), no. 2, 601–617.

·        Berezansky, Leonid; Braverman, Elena Oscillation for equations with positive and negative coefficients and distributed delay. II. Applications. Electron. J.

Differential Equations 2003, No. 47, 25 pp. (electronic).

·        Berezansky, Leonid; Braverman, Elena Oscillation for equations with positive and negative coefficients and with distributed delay. I. General results. Electron. J. Differential Equations 2003, No. 12, 21 pp. (electronic).

·        Berezansky, Leonid; Braverman, Elena On oscillation of a food-limited population model with time delay[pdf]. Abstr. Appl. Anal. 2003, no. 1, 55–66.

·        Berezansky, Leonid; Braverman, Elena Linearized oscillation theory for a nonlinear nonautonomous delay differential equation[pdf]. J. Comput. Appl. Math. 151 (2003), no. 1, 119–127.

·        Berezansky, Leonid; Braverman, Elena Oscillation properties of a logistic equation with distributed delay[pdf]. Nonlinear Anal. Real World Appl. 4 (2003), no. 1, 1–19.

·        Berezansky, L.; Braverman, E. Non-oscillation properties of a linear neutral differential equations. Dedicated to L. F. Rakhmatullina and N. V. Azbelev on the

occasion of their seventieth and eightieth birthdays. Funct. Differ. Equ. 9 (2002), no. 3-4, 275–288.

·        Berezansky, Leonid; Domshlak, Yury; Braverman, Elena On oscillation properties of delay differential equations with positive and negative coefficients[pdf]. J. Math. Anal. Appl. 274 (2002), no. 1, 81–101.

·        Berezansky, L.; Braverman, E. On oscillation of a differential equation with infinite number of delays. Z. Anal. Anwendungen 21 (2002), no. 3, 803–816.

·        Berezansky, Leonid; Domshlak, Yury Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory. II. Electron. J. Differential Equations 2002, No. 31, 18 pp. (electronic).

·        Berezansky, Leonid; Braverman, Elena On oscillation of an impulsive logistic equation. Advances in impulsive differential equations. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 9 (2002), no. 3, 377–396.

·        Berezansky, L.; Braverman, E. On oscillation of a multiplicative delay logistic equation[pdf]. Proceedings of the Third World Congress of Nonlinear Analysts, Part 2 (Catania, 2000). Nonlinear Anal. 47 (2001), no. 2, 1199–1209.

·        Berezansky, L.; Braverman, E. On oscillation of equations with distributed delay. Z. Anal. Anwendungen 20 (2001), no. 2, 489–504.

·        Berezansky, Leonid; Domshlak, Yury First-order differential equations with several deviating arguments: Sturmian comparison method in oscillation theory. I.

Electron. J. Differential Equations 2001, No. 40, 19 pp. (electronic).

·         Berezansky, Leonid; Braverman, Elena On oscillation of a generalized logistic equation with several delays[pdf]

. J. Math. Anal. Appl. 253 (2001), no. 2, 389–405.

·         Berezansky, Leonid; Braverman, Elena Oscillation properties of a logistic equation with several delays[pdf]. J. Math. Anal. Appl. 247 (2000), no. 1, 110–125.

·        Berezansky, L.; Braverman, E. Oscillation of a second-order delay differential equation with middle term[pdf]. Appl. Math. Lett. 13 (2000), no. 2, 21–25.

·        Berezansky, Leonid; Braverman, Elena On oscillation of a logistic equation with several delays.[pdf] Fixed point theory with applications in nonlinear analysis. J.

Comput. Appl. Math. 113 (2000), no. 1-2, 255–265.

·        Berezansky, L.; Braverman, E. Nonoscillation of a second order linear delay differential equation with a middle term. Funct. Differ. Equ. 6 (1999), no. 3-4, 233–247.

·        Berezansky, Leonid; Braverman, Elena; Akca, Haydar On oscillation of a linear delay integro-differential equation. Dynam. Systems Appl. 8 (1999), no. 2, 219–234.

·        Berezansky, L.; Braverman, E. On oscillation of a second order impulsive linear delay differential equation[pdf]. J. Math. Anal. Appl. 233 (1999), no. 1, 276–300.

·        Akca, H.; Berezansky, L.; Maksimov, V. I. On dynamical reconstruction of a pair "control-trajectory'' in a system unresolved with respect to derivative.

Funct. Differ. Equ. 5 (1998), no. 1-2, 3–19.

·        Berezansky, Leonid; Idels, Lev Exponential stability of some scalar impulsive delay differential equations[pdf]. Commun. Appl. Anal. 2 (1998), no. 3, 301–308.

·        Berezansky, L.; Braverman, E. Some oscillation problems for a second order linear delay differential equation[pdf]. J. Math. Anal. Appl. 220 (1998), no. 2, 719–740.

·        Berezansky, Leonid; Braverman, Elena On non-oscillation of a scalar delay differential equation. Dynam. Systems Appl. 6 (1997), no. 4, 567–580.

·        Berezansky, L.; Braverman, E. Explicit conditions of exponential stability for a linear impulsive delay differential equation[pdf]. J. Math. Anal. Appl. 214 (1997), no.

2, 439–458.

·        Berezansky, L.; Braverman, E. On integrable solutions of impulsive delay differential equations. Differential Equations Dynam. Systems 4 (1996), no. 1, 21–42.

·        Berezansky, L.; Braverman, E. Exponential boundedness of solutions for impulsive delay differential equations[pdf]. Appl. Math. Lett. 9 (1996), no. 6, 91–95.

·        Akca, H.; Berezansky, L.; Braverman, E. On linear integro-differential equations with integral impulsive conditions. Z. Anal. Anwendungen 15 (1996), no. 3,

709–727.

·        Berezansky, Leonid; Braverman, Elena Impulsive stabilization of linear delay differential equations. Dynam. Systems Appl. 5 (1996), no. 2, 263–276.

·        Berezansky, L.; Braverman, E. Oscillation of a linear delay impulsive differential equation. Comm. Appl. Nonlinear Anal. 3 (1996), no. 1, 61–77.

·        Anokhin, A.; Berezansky, L.; Braverman, E. Exponential stability of linear delay impulsive differential equations[pdf]. J. Math. Anal. Appl. 193 (1995), no. 3, 923–941

·        Berezansky, L.; Braverman, E. Boundedness and stability of impulsively perturbed systems in a Banach space[pdf]. Internat. J. Theoret. Phys. 33 (1994), no. 10, 2075–2090