Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk Exponential stability criteria for linear neutral systems with applications to neural networks of neutral type. (English) Zbl 1506.93074 J. Franklin Inst. 360, No. 1, 301-326 (2023). MSC: 93D23 93B70 93C05 26A42 PDFBibTeX XMLCite \textit{L. Berezansky} et al., J. Franklin Inst. 360, No. 1, 301--326 (2023; Zbl 1506.93074) Full Text: DOI
Stević, Stevo; Iričanin, Bratislav; Kosmala, Witold; Šmarda, Zdeněk On a nonlinear second-order difference equation. (English) Zbl 1506.39002 J. Inequal. Appl. 2022, Paper No. 88, 11 p. (2022). MSC: 39A10 39A20 PDFBibTeX XMLCite \textit{S. Stević} et al., J. Inequal. Appl. 2022, Paper No. 88, 11 p. (2022; Zbl 1506.39002) Full Text: DOI
Stević, Stevo; Ahmed, A. El-Sayed; Kosmala, Witold; Šmarda, Zdeněk On a class of difference equations with interlacing indices. (English) Zbl 1494.39003 Adv. Difference Equ. 2021, Paper No. 297, 16 p. (2021). MSC: 39A10 39A22 PDFBibTeX XMLCite \textit{S. Stević} et al., Adv. Difference Equ. 2021, Paper No. 297, 16 p. (2021; Zbl 1494.39003) Full Text: DOI
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
Stević, Stevo; Iričanin, Bratislav; Kosmala, Witold; Šmarda, Zdeněk Solvability of a class of hyperbolic-cosine-type difference equations. (English) Zbl 1486.39015 Adv. Difference Equ. 2020, Paper No. 564, 11 p. (2020). MSC: 39A20 39A45 PDFBibTeX XMLCite \textit{S. Stević} et al., Adv. Difference Equ. 2020, Paper No. 564, 11 p. (2020; Zbl 1486.39015) Full Text: DOI
Stević, Stevo; Iričanin, Bratislav; Kosmala, Witold; Šmarda, Zdeněk Note on some representations of general solutions to homogeneous linear difference equations. (English) Zbl 1486.39002 Adv. Difference Equ. 2020, Paper No. 486, 12 p. (2020). MSC: 39A06 39A05 11B39 PDFBibTeX XMLCite \textit{S. Stević} et al., Adv. Difference Equ. 2020, Paper No. 486, 12 p. (2020; Zbl 1486.39002) Full Text: DOI
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk Exponential stability tests for linear delayed differential systems depending on all delays. (English) Zbl 1429.34074 J. Dyn. Differ. Equations 31, No. 4, 2095-2108 (2019). Reviewer: Serhiy Yanchuk (Berlin) MSC: 34K20 34K06 34K25 PDFBibTeX XMLCite \textit{L. Berezansky} et al., J. Dyn. Differ. Equations 31, No. 4, 2095--2108 (2019; Zbl 1429.34074) Full Text: DOI
Stević, Stevo; Iričanin, Bratislav; Kosmala, Witold; Šmarda, Zdeněk On some classes of solvable systems of difference equations. (English) Zbl 1458.39003 Adv. Difference Equ. 2019, Paper No. 39, 19 p. (2019). MSC: 39A10 39A20 39A22 39A23 PDFBibTeX XMLCite \textit{S. Stević} et al., Adv. Difference Equ. 2019, Paper No. 39, 19 p. (2019; Zbl 1458.39003) 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
Stević, Stevo; Iričanin, Bratislav; Šmarda, Zdeněk Two-dimensional product-type system of difference equations solvable in closed form. (English) Zbl 1419.39012 Adv. Difference Equ. 2016, Paper No. 253, 20 p. (2016). MSC: 39A10 39A20 PDFBibTeX XMLCite \textit{S. Stević} et al., Adv. Difference Equ. 2016, Paper No. 253, 20 p. (2016; Zbl 1419.39012) Full Text: DOI
Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk On the system of difference equations \(x_n = \frac{x_{n - 1} y_{n - 2}}{a y_{n - 2} + b y_{n - 1}}\), \(y_n = \frac{y_{n - 1} x_{n - 2}}{c x_{n - 2} + d x_{n - 1}}\). (English) Zbl 1410.39018 Appl. Math. Comput. 270, 688-704 (2015). MSC: 39A20 39A22 PDFBibTeX XMLCite \textit{S. Stević} et al., Appl. Math. Comput. 270, 688--704 (2015; Zbl 1410.39018) Full Text: DOI
Stević, Stevo; Iričanin, Bratislav; Šmarda, Zdeněk On a close to symmetric system of difference equations of second order. (English) Zbl 1422.39018 Adv. Difference Equ. 2015, Paper No. 264, 17 p. (2015). MSC: 39A10 39A20 PDFBibTeX XMLCite \textit{S. Stević} et al., Adv. Difference Equ. 2015, Paper No. 264, 17 p. (2015; Zbl 1422.39018) Full Text: DOI
Stević, Stevo; Iričanin, Bratislav; Šmarda, Zdeněk Boundedness character of a fourth-order system of difference equations. (English) Zbl 1422.39017 Adv. Difference Equ. 2015, Paper No. 315, 11 p. (2015). MSC: 39A10 39A20 PDFBibTeX XMLCite \textit{S. Stević} et al., Adv. Difference Equ. 2015, Paper No. 315, 11 p. (2015; Zbl 1422.39017) Full Text: DOI
Rebenda, Josef; Šmarda, Zdeněk Existence of solutions converging to zero for nonlinear delayed differential systems. (English) Zbl 1422.34200 Adv. Difference Equ. 2015, Paper No. 349, 10 p. (2015). MSC: 34K12 34K20 PDFBibTeX XMLCite \textit{J. Rebenda} and \textit{Z. Šmarda}, Adv. Difference Equ. 2015, Paper No. 349, 10 p. (2015; Zbl 1422.34200) Full Text: DOI
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk Simple uniform exponential stability conditions for a system of linear delay differential equations. (English) Zbl 1328.34066 Appl. Math. Comput. 250, 605-614 (2015). MSC: 34K20 39B42 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Appl. Math. Comput. 250, 605--614 (2015; Zbl 1328.34066) 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
Rebenda, Josef; Šmarda, Zdeněk Stability of a functional differential system with a finite number of delays. (English) Zbl 1470.34200 Abstr. Appl. Anal. 2013, Article ID 853134, 10 p. (2013). MSC: 34K20 34K25 PDFBibTeX XMLCite \textit{J. Rebenda} and \textit{Z. Šmarda}, Abstr. Appl. Anal. 2013, Article ID 853134, 10 p. (2013; Zbl 1470.34200) 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
Šmarda, Zdeněk; Rebenda, Josef Asymptotic behaviour of a two-dimensional differential system with a finite number of nonconstant delays under the conditions of instability. (English) Zbl 1251.34092 Abstr. Appl. Anal. 2012, Article ID 952601, 20 p. (2012). MSC: 34K25 34K12 PDFBibTeX XMLCite \textit{Z. Šmarda} and \textit{J. Rebenda}, Abstr. Appl. Anal. 2012, Article ID 952601, 20 p. (2012; Zbl 1251.34092) Full Text: DOI
Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk On the difference equation \(x_n = a_nx_{n-k}/(b_n + c_nx_{n-1} \cdots x_{n-k})\). (English) Zbl 1246.39012 Abstr. Appl. Anal. 2012, Article ID 409237, 20 p. (2012). MSC: 39A20 39A22 PDFBibTeX XMLCite \textit{S. Stević} et al., Abstr. Appl. Anal. 2012, Article ID 409237, 20 p. (2012; Zbl 1246.39012) Full Text: DOI
Diblík, J.; Růžičková, M.; Šmarda, Z.; Šutá, Z. Asymptotic convergence of the solutions of a dynamic equation on discrete time scales. (English) Zbl 1232.39006 Abstr. Appl. Anal. 2012, Article ID 580750, 20 p. (2012). MSC: 39A12 34N05 39A22 39A06 PDFBibTeX XMLCite \textit{J. Diblík} et al., Abstr. Appl. Anal. 2012, Article ID 580750, 20 p. (2012; Zbl 1232.39006) Full Text: DOI
Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk An explicit criterion for the existence of positive solutions of the linear delayed equation \(\dot{x}(t)= -c(t)x(t - \tau (t))\). (English) Zbl 1243.34099 Abstr. Appl. Anal. 2011, Article ID 561902, 12 p. (2011). MSC: 34K13 PDFBibTeX XMLCite \textit{J. Baštinec} et al., Abstr. Appl. Anal. 2011, Article ID 561902, 12 p. (2011; Zbl 1243.34099) 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, 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
Baštinec, J.; Diblík, J.; Šmarda, Z. Oscillation of solutions of a linear second-order discrete-delayed equation. (English) Zbl 1200.39002 Adv. Difference Equ. 2010, Article ID 693867, 12 p. (2010). Reviewer: Roman Šimon Hilscher (Brno) MSC: 39A21 39A12 39A06 PDFBibTeX XMLCite \textit{J. Baštinec} et al., Adv. Difference Equ. 2010, Article ID 693867, 12 p. (2010; Zbl 1200.39002) Full Text: DOI
Berezansky, Leonid; Diblík, Josef; Šmarda, Zdenĕk On connection between second-order delay differential equations and integrodifferential equations with delay. (English) Zbl 1195.34094 Adv. Difference Equ. 2010, Article ID 143298, 8 p. (2010). Reviewer: Zhanyuan Hou (London) MSC: 34K05 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Adv. Difference Equ. 2010, Article ID 143298, 8 p. (2010; Zbl 1195.34094) Full Text: DOI
Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk Retract principle for neutral functional differential equations. (English) Zbl 1238.34143 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e1393-e1400 (2009). MSC: 34K40 PDFBibTeX XMLCite \textit{J. Diblík} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e1393--e1400 (2009; Zbl 1238.34143) Full Text: DOI
Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk Explicit criteria for the existence of positive solutions for a scalar differential equation with variable delay in the critical case. (English) Zbl 1155.34337 Comput. Math. Appl. 56, No. 2, 556-564 (2008). MSC: 34K05 PDFBibTeX XMLCite \textit{J. Diblík} et al., Comput. Math. Appl. 56, No. 2, 556--564 (2008; Zbl 1155.34337) Full Text: DOI