Elena Braverman

Professor

Department of Mathematics and Statistics

PhD

Urals State University, 1990

MSc

University of Perm, 1983

BSc

University of Perm, 1981

Contact information

Phone

Office: 403.220.3956

Location

Office : MS444

Courses

  • MATH 375 - Differential Equations for Engineers and Scientists
  • MATH 213 - Linear Algebra I
  • MATH 605 - Differential Equations III

Research and teaching

Research areas

  • Delay differential equations
  • Delay equations of population dynamics
  • Logistic equations
  • Impulsive equations
  • Equations with distributed delay

Publications

Book

  • Berezansky, Leonid, Braverman, Elena and Idels, Lev. On oscillation of nonlinear delay equations of population dynamics Yokohama Publ., Yokohama, 2004. 1-14. Print.
  • Israeli, M., Braverman, Elena and Averbuch, A.. A hierarchical domain decomposition method with low communication overhead , Internat. Center Numer. Methods Eng. (CIMNE), Barcelona, 2002. 395-403. Print.
  • Averbuch, A., Braverman, Elena and Israeli, M.. A new low communication parallel algorithm for elliptic partial differential equations North-Holland, 2001. 275-282. Print.
  • Braverman, Elena. On linear neutral type equations with generalized right-hand side 1. Coll. Judea Samaria, 1993. 22-32. Print.
  • Braverman, Elena. On the definition of the inner superposition operator in a space of discrete measures Perm. Politekh. Inst., 1990. 131-142. Print.
  • Anokhin, A. V. and Braverman, Elena. Definition of the concept of impulse functional-differential equations Perm. Politekh. Inst., 1989. 35-46. Print.
  • Braverman, Elena. On a boundary value problem for a linear functional-differential equation with impulses Perm. Politekh. Inst., 1988. 50-55. Print.
  • Braverman, Elena. Conditions for the unique solvability of the {C}auchy problem with impulse actions Perm. Politekh. Inst., 1987. 146-150, x. Print.
  • Braverman, Elena. An inner superposition operator in a special space Perm. Politekh. Inst., 1986. 96-103, viii. Print.
  • Braverman, Elena. Complete continuity of a linear operator in the space of step functions Perm. Politekh. Inst., 1986. 49-52, v. Print.

Journal article

  • Berezansky, Leonid and Braverman, Elena. "On stability of some linear and nonlinear delay differential equations". J. Math. Anal. Appl. 314.2 (2006): 391-411. Print.
  • Berezansky, L. and Braverman, Elena. "On persistence of a delay differential equation with positive and negative coefficients". Functional Differential Equations 12.1-2 (2005): 95-107. Print.
  • Braverman, Elena, Israeli, M. and Averbuch, A.. "A hierarchical 3-{D} direct {H}elmholtz solver by domain decomposition and modified {F}ourier method". SIAM Journal on Scientific Computing 26.5 (2005): 1504-1524 (electronic). Print.
  • Berezansky, L., Braverman, Elena and Idels, L.. "Delay differential equations with {H}ill's type growth rate and linear harvesting". Computers & Mathematics with Applications. An International Journal 49.4 (2005): 549-563. Print.
  • Berezansky, L. and Braverman, Elena. "On exponential dichotomy, {B}ohl-{P}erron type theorems and stability of difference equations". J. Math. Anal. Appl. 304.2 (2005): 511-530. Print.
  • Berezansky, Leonid, Braverman, Elena and Liz, Eduardo. "Sufficient conditions for the global stability of nonautonomous higher order difference equations". Journal of Difference Equations and Applications 11.9 (2005): 785-798. Print.
  • Braverman, Elena, Epstein, Boris, Israeli, Moshe and Averbuch, Amir. "A fast spectral subtractional solver for elliptic equations". Journal of Scientific Computing 21.1 (2004): 91-128. Print.
  • Berezansky, L. and Braverman, Elena. "On {B}ohl-{P}erron type theorems for linear difference equations". Functional Differential Equations 11.1-2 (2004): 19-28. Print.
  • Berezansky, Leonid and Braverman, Elena. "On impulsive {B}everton-{H}olt difference equations and their applications". Journal of Difference Equations and Applications 10.9 (2004): 851-868. Print.
  • Berezansky, L., Braverman, Elena and Idels, L.. "Delay differential logistic equations with harvesting". Mathematical and Computer Modelling 39.11-12 (2004): 1243-1259. Print.
  • Berezansky, Leonid and Braverman, Elena. "On oscillation of a food-limited population model with time delay [MR1954246]". , (2003): 55-66. Print.
  • Berezansky, Leonid and Braverman, Elena. "Oscillation criteria for a linear neutral differential equation". Journal of Mathematical Analysis and Applications 286.2 (2003): 601-617. Print.
  • Berezansky, Leonid and Braverman, Elena. "Linearized oscillation theory for a nonlinear delay impulsive equation". Journal of Computational and Applied Mathematics 161.2 (2003): 477-495. Print.
  • Berezansky, Leonid and Braverman, Elena. "Linearized oscillation theory for a nonlinear nonautonomous delay differential equation". Journal of Computational and Applied Mathematics 151.1 (2003): 119-127. Print.
  • Berezansky, Leonid and Braverman, Elena. "Oscillation for equations with positive and negative coefficients and distributed delay. {II}. {A}pplications". Electronic Journal of Differential Equations, (2003): No. 47, 25 pp. (electronic). Print.
  • Berezansky, Leonid and Braverman, Elena. "Oscillation for equations with positive and negative coefficients and with distributed delay. {I}. {G}eneral results". Electronic Journal of Differential Equations, (2003): No. 12, 21 pp. (electronic). Print.
  • Berezansky, L., Braverman, Elena and Idels, L.. "Delay differential logistic equations with a nonlinear harvesting function". Functional Differential Equations 10.1-2 (2003): 83-94. Print.
  • Berezansky, Leonid and Braverman, Elena. "On oscillation of a food-limited population model with time delay". Abstract and Applied Analysis, 1 (2003): 55-66. Print.
  • Berezansky, L. and Braverman, Elena. "Oscillation and other properties of linear impulsive and nonimpulsive delay equations". Applied Mathematics Letters. An International Journal of Rapid Publication 16.7 (2003): 1025-1030. Print.
  • Berezansky, Leonid and Braverman, Elena. "Oscillation properties of a logistic equation with distributed delay". Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal 4.1 (2003): 1-19. Print.
  • Berezansky, Leonid, Domshlak, Yury and Braverman, Elena. "On oscillation properties of delay differential equations with positive and negative coefficients". Journal of Mathematical Analysis and Applications 274.1 (2002): 81-101. Print.
  • Berezansky, L. and Braverman, Elena. "On oscillation of a differential equation with infinite number of delays". Zeitschrift f\"ur Analysis und ihre Anwendungen. Journal for Analysis and its Applications 21.3 (2002): 803-816. Print.
  • Berezansky, Leonid and Braverman, Elena. "On oscillation of an impulsive logistic equation". Dynamics of Continuous, Discrete \& Impulsive Systems. Series A. Mathematical Analysis 9.3 (2002): 377-396. Print.
  • Israeli, Moshe, Braverman, Elena and Averbuch, Amir. "A hierarchical 3-{D} {P}oisson modified {F}ourier solver by domain decomposition". Journal of Scientific Computing 17.1-4 (2002): 471-479. Print.
  • Berezansky, L. and Braverman, Elena. "Non-oscillation properties of a linear neutral differential equations". Functional Differential Equations 9.3-4 (2002): 275-288. Print.
  • Averbuch, A., Braverman, Elena, Coifman, R. and Israeli, M.. "Fast evaluation of 2-{D} and 3-{D} oscillatory integrals with local {F}ourier bases". International Journal of Pure and Applied Mathematics 3.1 (2002): 1-28. Print.
  • Berezansky, Leonid and Braverman, Elena. "On oscillation of a generalized logistic equation with several delays". Journal of Mathematical Analysis and Applications 253.2 (2001): 389-405. Print.
  • Berezansky, L. and Braverman, Elena. "On oscillation of equations with distributed delay". Zeitschrift f\"ur Analysis und ihre Anwendungen. Journal for Analysis and its Applications 20.2 (2001): 489-504. Print.
  • Averbuch, A., Braverman, Elena, Israeli, M. and Coifman, R.. "On efficient computation of multidimensional oscillatory integrals with local {F}ourier bases". Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 47.5 (2001): 3491-3502. Print.
  • Berezansky, L. and Braverman, Elena. "On oscillation of a multiplicative delay logistic equation". Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 47.2 (2001): 1199-1209. Print.
  • Averbuch, A., Braverman, Elena, Israeli, M. and Coifman, R.. "On efficient computation of multidimensional oscillatory integrals with local Fourier bases". Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 47.5 (2001): 3491-3502. Print.
  • Berezansky, Leonid and Braverman, Elena. "Oscillation properties of a logistic equation with several delays". Journal of Mathematical Analysis and Applications 247.1 (2000): 110-125. Print.
  • Berezansky, Leonid and Braverman, Elena. "On oscillation of a logistic equation with several delays". Journal of Computational and Applied Mathematics 113.1-2 (2000): 255-265. Print.
  • Averbuch, A., Braverman, Elena and Israeli, M.. "Parallel adaptive solution of a {P}oisson equation with multiwavelets". SIAM Journal on Scientific Computing 22.3 (2000): 1053-1086 (electronic). Print.
  • Berezansky, L. and Braverman, Elena. "Oscillation of a second-order delay differential equation with middle term". Applied Mathematics Letters. An International Journal of Rapid Publication 13.2 (2000): 21-25. Print.
  • Averbuch, A., Braverman, Elena, Coifman, R., Israeli, M. and Sidi, A.. "Efficient computation of oscillatory integrals via adaptive multiscale local {F}ourier bases". Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications 9.1 (2000): 19-53. Print.
  • Berezansky, L. and Braverman, Elena. "On oscillation of a second order impulsive linear delay differential equation". Journal of Mathematical Analysis and Applications 233.1 (1999): 276-300. Print.
  • Berezansky, L. and Braverman, Elena. "Nonoscillation of a second order linear delay differential equation with a middle term". Functional Differential Equations 6.3-4 (1999): 233-247. Print.
  • Braverman, Elena, Israeli, M. and Averbuch, A.. "A fast spectral solver for a {$3$}{D} {H}elmholtz equation". SIAM Journal on Scientific Computing 20.6 (1999): 2237-2260 (electronic). Print.
  • Berezansky, Leonid, Braverman, Elena and Ak{\c{c}}a, Haydar. "On oscillation of a linear delay integro-differential equation". Dynamic Systems and Applications 8.2 (1999): 219-234. Print.
  • Berezansky, L. and Braverman, Elena. "Some oscillation problems for a second order linear delay differential equation". Journal of Mathematical Analysis and Applications 220.2 (1998): 719-740. Print.
  • Braverman, Elena, Israeli, M., Averbuch, A. and Vozovoi, L.. "A fast {$3$}{D} {P}oisson solver of arbitrary order accuracy". Journal of Computational Physics 144.1 (1998): 109-136. Print.
  • Berezansky, L. and Braverman, Elena. "Explicit conditions of exponential stability for a linear impulsive delay differential equation". Journal of Mathematical Analysis and Applications 214.2 (1997): 439-458. Print.
  • Berezansky, Leonid and Braverman, Elena. "On non-oscillation of a scalar delay differential equation". Dynamic Systems and Applications 6.4 (1997): 567-580. Print.
  • Ak{\c{c}}a, H., Berezansky, L. and Braverman, Elena. "On linear integro-differential equations with integral impulsive conditions". Zeitschrift f\"ur Analysis und ihre Anwendungen. Journal for Analysis and its Applications 15.3 (1996): 709-727. Print.
  • Berezansky, Leonid and Braverman, Elena. "Impulsive stabilization of linear delay differential equations". Dynamic Systems and Applications 5.2 (1996): 263-276. Print.
  • Berezansky, L. and Braverman, Elena. "Oscillation of a linear delay impulsive differential equation". Communications on Applied Nonlinear Analysis 3.1 (1996): 61-77. Print.
  • Berezansky, L. and Braverman, Elena. "Exponential boundedness of solutions for impulsive delay differential equations". Applied Mathematics Letters. An International Journal of Rapid Publication 9.6 (1996): 91-95. Print.
  • Berezansky, L. and Braverman, Elena. "On integrable solutions of impulsive delay differential equations". Differential Equations and Dynamical Systems. An International Journal for Theory and Applications 4.1 (1996): 21-42. Print.
  • Anokhin, A., Berezansky, L. and Braverman, Elena. "Exponential stability of linear delay impulsive differential equations". Journal of Mathematical Analysis and Applications 193.3 (1995): 923-941. Print.
  • Berezansky, L. and Braverman, Elena. "Preservation of the exponential stability under perturbations of linear delay impulsive differential equations". Zeitschrift f\"ur Analysis und ihre Anwendungen. Journal for Analysis and its Applications 14.1 (1995): 157-174. Print.
  • Berezansky, L. and Braverman, Elena. "Boundedness and stability of impulsively perturbed delay differential equations". Functional Differential Equations 3.1-2 (1995): 19-30. Print.
  • Anokhin, Alexander, Berezansky, Leonid and Braverman, Elena. "Stability of linear delay impulsive differential equations". Dynamic Systems and Applications 4.2 (1995): 173-187. Print.
  • Braverman, Elena and Drakhlin, Michael. "On the variational problem for functionals with deviations of argument". Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 25.11 (1995): 1123-1138. Print.
  • Berezansky, L. and Braverman, Elena. "On stability of impulsive differential equations with delay". Functional Differential Equations. Israel Seminar 2. (1994): 11-21 (1995). Print.
  • Berezansky, L. and Braverman, Elena. "Boundedness and stability of impulsively perturbed systems in a {B}anach space". International Journal of Theoretical Physics 33.10 (1994): 2075-2090. Print.
  • Braverman, Elena. "The inner superposition operator in the space of discrete measures". Izvestiya Vysshikh Uchebnykh Zavedeni\u\i. Matematika, 12 (1991): 80-85. Print.
  • Anokhin, A. V. and Braverman, Elena. "Linear impulsive functional-differential equations". Differentsial\cprime nye Uravneniya 26.11 (1990): 1864-1872, 2018. Print.

Journal articles - peer reviewed

  • Braverman, Elena and Chan, Brian. "Stabilization of prescribed values and periodic orbits with regular and pulse target oriented control". Chaos: An Interdisciplinary Journal of Nonlinear Science 24.013119 (2014): 7. Print.