Berezansky, Leonid; Braverman, Elena; Pinelas, Sandra Exponentially decaying solutions for models with delayed and advanced arguments: nonlinear effects in linear differential equations. (English) Zbl 07741060 Proc. Am. Math. Soc. 151, No. 10, 4261-4277 (2023). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 34K25 34K06 34K12 47H10 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Proc. Am. Math. Soc. 151, No. 10, 4261--4277 (2023; Zbl 07741060) Full Text: DOI
Berezansky, Leonid; Braverman, Elena Exponential stability for a system of second and first order delay differential equations. (English) Zbl 1509.34073 Appl. Math. Lett. 132, Article ID 108127, 7 p. (2022). Reviewer: Nataliya O. Sedova (Ulyanovsk) MSC: 34K20 34K06 PDFBibTeX XMLCite \textit{L. Berezansky} and \textit{E. Braverman}, Appl. Math. Lett. 132, Article ID 108127, 7 p. (2022; Zbl 1509.34073) Full Text: DOI arXiv
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk Uniform exponential stability of linear delayed integro-differential vector equations. (English) Zbl 1464.45021 J. Differ. Equations 270, 573-595 (2021). MSC: 45M10 45G15 45F15 PDFBibTeX XMLCite \textit{L. Berezansky} et al., J. Differ. Equations 270, 573--595 (2021; Zbl 1464.45021) Full Text: DOI
Berezansky, Leonid; Braverman, Elena Solution estimates for linear differential equations with delay. (English) Zbl 1433.34095 Appl. Math. Comput. 372, Article ID 124962, 10 p. (2020). MSC: 34K20 34K25 34K06 PDFBibTeX XMLCite \textit{L. Berezansky} and \textit{E. Braverman}, Appl. Math. Comput. 372, Article ID 124962, 10 p. (2020; Zbl 1433.34095) Full Text: DOI arXiv
Berezansky, Leonid M.; Domoshnitsky, Alexander I. On stability of the second order delay differential equation: matrix inequality method. (English) Zbl 1467.34072 Funct. Differ. Equ. 26, No. 1-2, 3-34 (2019). MSC: 34K20 34K06 34K25 47N20 PDFBibTeX XMLCite \textit{L. M. Berezansky} and \textit{A. I. Domoshnitsky}, Funct. Differ. Equ. 26, No. 1--2, 3--34 (2019; Zbl 1467.34072)
Berezansky, Leonid; Braverman, Elena On stability of linear neutral differential equations in the Hale form. (English) Zbl 1428.34099 Appl. Math. Comput. 340, 63-71 (2019). MSC: 34K20 34K06 34K40 45J05 PDFBibTeX XMLCite \textit{L. Berezansky} and \textit{E. Braverman}, Appl. Math. Comput. 340, 63--71 (2019; Zbl 1428.34099) Full Text: DOI arXiv
Berezansky, Leonid; Braverman, Elena On stability of linear neutral differential equations with variable delays. (English) Zbl 1513.34267 Czech. Math. J. 69, No. 3, 863-891 (2019). Reviewer: Gani T. Stamov (Sliven) MSC: 34K20 34K40 34K06 45J05 PDFBibTeX XMLCite \textit{L. Berezansky} and \textit{E. Braverman}, Czech. Math. J. 69, No. 3, 863--891 (2019; Zbl 1513.34267) Full Text: DOI arXiv
Berezansky, Leonid; Domoshnitsky, Alexander On stability of the second order neutral differential equation. (English) Zbl 1414.34057 Appl. Math. Lett. 88, 90-95 (2019). Reviewer: Qiru Wang (Guangzhou) MSC: 34K20 34K40 34K06 PDFBibTeX XMLCite \textit{L. Berezansky} and \textit{A. Domoshnitsky}, Appl. Math. Lett. 88, 90--95 (2019; Zbl 1414.34057) Full Text: DOI
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk Exponential stability of linear delayed differential systems. (English) Zbl 1426.34094 Appl. Math. Comput. 320, 474-484 (2018). MSC: 34K20 34K06 34K25 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Appl. Math. Comput. 320, 474--484 (2018; Zbl 1426.34094) Full Text: DOI
Domoshnitsky, Alexander; Maghakyan, Abraham; Berezansky, Leonid W-transform for exponential stability of second order delay differential equations without damping terms. (English) Zbl 1362.34110 J. Inequal. Appl. 2017, Paper No. 20, 12 p. (2017). MSC: 34K20 34K06 34K25 PDFBibTeX XMLCite \textit{A. Domoshnitsky} et al., J. Inequal. Appl. 2017, Paper No. 20, 12 p. (2017; Zbl 1362.34110) Full Text: DOI
Berezansky, Leonid; Braverman, Elena Boundedness and persistence of delay differential equations with mixed nonlinearity. (English) Zbl 1410.34226 Appl. Math. Comput. 279, 154-169 (2016). MSC: 34K25 34K23 34K60 92D25 PDFBibTeX XMLCite \textit{L. Berezansky} and \textit{E. Braverman}, Appl. Math. Comput. 279, 154--169 (2016; Zbl 1410.34226) Full Text: DOI arXiv
Berezansky, Leonid; Braverman, Elena; Idels, Lev Stability tests for second order linear and nonlinear delayed models. (English) Zbl 1331.34142 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 6, 1523-1543 (2015). Reviewer: Alexander O. Ignatyev (Donetsk) MSC: 34K20 92D25 34K12 PDFBibTeX XMLCite \textit{L. Berezansky} et al., NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 6, 1523--1543 (2015; Zbl 1331.34142) Full Text: DOI arXiv
Berezansky, L.; Chatzarakis, G. E.; Domoshnitsky, A.; Stavroulakis, I. P. Oscillations of difference equations with several oscillating coefficients. (English) Zbl 1473.39014 Abstr. Appl. Anal. 2014, Article ID 392097, 9 p. (2014). MSC: 39A21 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Abstr. Appl. Anal. 2014, Article ID 392097, 9 p. (2014; Zbl 1473.39014) Full Text: DOI
Baštinec, Jaromír; Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk On a delay population model with a quadratic nonlinearity without positive steady state. (English) Zbl 1365.92087 Appl. Math. Comput. 227, 622-629 (2014). MSC: 92D25 PDFBibTeX XMLCite \textit{J. Baštinec} et al., Appl. Math. Comput. 227, 622--629 (2014; Zbl 1365.92087) Full Text: DOI
Berezansky, Leonid; Braverman, Elena On multistability of equations with a distributed delay, monotone production and the Allee effect. (English) Zbl 1308.34092 J. Math. Anal. Appl. 415, No. 2, 873-888 (2014). MSC: 34K20 PDFBibTeX XMLCite \textit{L. Berezansky} and \textit{E. Braverman}, J. Math. Anal. Appl. 415, No. 2, 873--888 (2014; Zbl 1308.34092) Full Text: DOI
Berezansky, Leonid; Braverman, Elena; Idels, Lev Mackey-Glass model of hematopoiesis with non-monotone feedback: stability, oscillation and control. (English) Zbl 1402.92048 Appl. Math. Comput. 219, No. 11, 6268-6283 (2013). MSC: 92C15 93B52 93C05 34D20 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Appl. Math. Comput. 219, No. 11, 6268--6283 (2013; Zbl 1402.92048) Full Text: DOI
Berezansky, Leonid; Bunimovich-Mendrazitsky, Svetlana; Domoshnitsky, Alexander A mathematical model with time-varying delays in the combined treatment of chronic myeloid leukemia. (English) Zbl 1377.92042 Adv. Difference Equ. 2012, Paper No. 217, 13 p. (2012). MSC: 92C50 34K20 34D23 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Adv. Difference Equ. 2012, Paper No. 217, 13 p. (2012; Zbl 1377.92042) Full Text: DOI
Berezansky, Leonid; Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk On a delay population model with quadratic nonlinearity. (English) Zbl 1377.34093 Adv. Difference Equ. 2012, Paper No. 230, 9 p. (2012). MSC: 34K20 34K25 92D25 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Adv. Difference Equ. 2012, Paper No. 230, 9 p. (2012; Zbl 1377.34093) Full Text: DOI
Berezansky, L.; Idels, L.; Troib, L. Global dynamics of one class of nonlinear nonautonomous systems with time-varying delays. (English) Zbl 1236.34102 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7499-7512 (2011). Reviewer: Eva Sánchez (Madrid) MSC: 34K25 34K20 92D25 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7499--7512 (2011; Zbl 1236.34102) Full Text: DOI
Baštinec, J.; Berezansky, L.; Diblík, J.; Šmarda, Z. 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. (English) Zbl 1223.39008 Abstr. Appl. Anal. 2011, Article ID 586328, 28 p. (2011). MSC: 39A21 39A12 34K11 39A22 PDFBibTeX XMLCite \textit{J. Baštinec} et al., Abstr. Appl. Anal. 2011, Article ID 586328, 28 p. (2011; Zbl 1223.39008) Full Text: DOI
Berezansky, L.; Braverman, E. On nonoscillation of advanced differential equations with several terms. (English) Zbl 1217.34110 Abstr. Appl. Anal. 2011, Article ID 637142, 14 p. (2011). MSC: 34K11 PDFBibTeX XMLCite \textit{L. Berezansky} and \textit{E. Braverman}, Abstr. Appl. Anal. 2011, Article ID 637142, 14 p. (2011; Zbl 1217.34110) Full Text: DOI EuDML
Berezansky, L.; Idels, L.; Troib, L. Global dynamics of Nicholson-type delay systems with applications. (English) Zbl 1208.34120 Nonlinear Anal., Real World Appl. 12, No. 1, 436-445 (2011). MSC: 34K60 34K25 34K20 92D25 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Nonlinear Anal., Real World Appl. 12, No. 1, 436--445 (2011; Zbl 1208.34120) Full Text: DOI
Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk Positive solutions of second-order delay differential equations with a damping term. (English) Zbl 1201.34095 Comput. Math. Appl. 60, No. 5, 1332-1342 (2010). MSC: 34K05 34K12 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Comput. Math. Appl. 60, No. 5, 1332--1342 (2010; Zbl 1201.34095) Full Text: DOI
Baštinec, Jaromír; Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk On the critical case in oscillation for differential equations with a single delay and with several delays. (English) Zbl 1209.34080 Abstr. Appl. Anal. 2010, Article ID 417869, 20 p. (2010). Reviewer: Qiru Wang (Guangzhou) MSC: 34K11 PDFBibTeX XMLCite \textit{J. Baštinec} et al., Abstr. Appl. Anal. 2010, Article ID 417869, 20 p. (2010; Zbl 1209.34080) Full Text: DOI
Berezansky, Leonid; Braverman, Elena; Pinelas, Sandra On nonoscillation of mixed advanced-delay differential equations with positive and negative coefficients. (English) Zbl 1197.34118 Comput. Math. Appl. 58, No. 4, 766-775 (2009). MSC: 34K11 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Comput. Math. Appl. 58, No. 4, 766--775 (2009; Zbl 1197.34118) Full Text: DOI arXiv Link
Berezansky, Leonid; Braverman, Elena Global linearized stability theory for delay differential equations. (English) Zbl 1208.34115 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 2614-2624 (2009). Reviewer: Stig-Olof Londen (Helsinki) MSC: 34K20 34K11 34K25 PDFBibTeX XMLCite \textit{L. Berezansky} and \textit{E. Braverman}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7--8, 2614--2624 (2009; Zbl 1208.34115) Full Text: DOI
Berezansky, L.; Braverman, E. Oscillation of a logistic difference equation with several delays. (English) Zbl 1133.39004 Adv. Difference Equ. 2006, Article ID 82143, 12 p. (2006). MSC: 39A11 PDFBibTeX XMLCite \textit{L. Berezansky} and \textit{E. Braverman}, Adv. Difference Equ. 2006, Article ID 82143, 12 p. (2006; Zbl 1133.39004) Full Text: DOI EuDML