Diblík, Josef; Svoboda, Zdeněk Existence of strictly decreasing positive solutions of linear differential equations of neutral type. (English) Zbl 1446.34076 Discrete Contin. Dyn. Syst., Ser. S 13, No. 1, 67-84 (2020). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 34K06 34K40 34K25 34K12 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{Z. Svoboda}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 1, 67--84 (2020; Zbl 1446.34076) Full Text: DOI
Diblík, Josef; Mencáková, Kristýna Representation of solutions to delayed linear discrete systems with constant coefficients and with second-order differences. (English) Zbl 1436.39003 Appl. Math. Lett. 105, Article ID 106309, 7 p. (2020). MSC: 39A06 39A12 34K06 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{K. Mencáková}, Appl. Math. Lett. 105, Article ID 106309, 7 p. (2020; Zbl 1436.39003) Full Text: DOI
Diblík, Josef; Medina, Rigoberto Dominant and subdominant positive solutions to generalized dickman equation. (English) Zbl 1427.34087 Appl. Math. Comput. 333, 169-186 (2018). MSC: 34K06 34K12 34K25 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{R. Medina}, Appl. Math. Comput. 333, 169--186 (2018; Zbl 1427.34087) Full Text: DOI
Diblik, Josef Long-time behaviour of solutions of delayed-type linear differential equations. (English) Zbl 1413.34210 Electron. J. Qual. Theory Differ. Equ. 2018, Paper No. 47, 23 p. (2018). MSC: 34K06 34K25 34K07 PDFBibTeX XMLCite \textit{J. Diblik}, Electron. J. Qual. Theory Differ. Equ. 2018, Paper No. 47, 23 p. (2018; Zbl 1413.34210) Full Text: DOI
Diblík, Josef; Medina, Rigoberto Exact asymptotics of positive solutions to Dickman equation. (English) Zbl 1374.34243 Discrete Contin. Dyn. Syst., Ser. B 23, No. 1, 101-121 (2018). MSC: 34K06 34K25 11N25 11A51 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{R. Medina}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 1, 101--121 (2018; Zbl 1374.34243) Full Text: DOI
Chatzarakis, George; Diblik, Josef; Stavroulakis, Ioannis Explicit integral criteria for the existence of positive solutions of first order linear delay equations. (English) Zbl 1363.34208 Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 45, 23 p. (2016). MSC: 34K06 PDFBibTeX XMLCite \textit{G. Chatzarakis} et al., Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 45, 23 p. (2016; Zbl 1363.34208) Full Text: DOI
Diblík, Josef; Kúdelčíková, Mária New explicit integral criteria for the existence of positive solutions to the linear advanced equation \({\dot{y}(t) = c(t) y(t + \tau)}\). (English) Zbl 1322.34073 Appl. Math. Lett. 38, 144-148 (2014). MSC: 34K06 34K12 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{M. Kúdelčíková}, Appl. Math. Lett. 38, 144--148 (2014; Zbl 1322.34073) Full Text: DOI
Diblík, J. A note on explicit criteria for the existence of positive solutions to the linear advanced equation \(\dot{x}(t) = c(t) x(t + \tau)\). (English) Zbl 1322.34072 Appl. Math. Lett. 35, 72-76 (2014). MSC: 34K06 34K12 PDFBibTeX XMLCite \textit{J. Diblík}, Appl. Math. Lett. 35, 72--76 (2014; Zbl 1322.34072) Full Text: DOI
Diblík, Josef; Janglajew, Klara; Kúdelčiková, Mária An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation. (English) Zbl 1308.34079 Discrete Contin. Dyn. Syst., Ser. B 19, No. 8, 2461-2467 (2014). MSC: 34K06 34K25 PDFBibTeX XMLCite \textit{J. Diblík} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 8, 2461--2467 (2014; Zbl 1308.34079) Full Text: DOI
Diblík, J.; Fečkan, M.; Pospíšil, M. Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices. (English) Zbl 1283.34057 Ukr. Math. J. 65, No. 1, 64-76 (2013) and Ukr. Mat. Zh. 65, No. 1, 58-69 (2013). Reviewer: Giselle A. Monteiro (Prague) MSC: 34K06 PDFBibTeX XMLCite \textit{J. Diblík} et al., Ukr. Math. J. 65, No. 1, 64--76 (2013; Zbl 1283.34057) Full Text: DOI
Diblík, Josef; Kúdelčíková, Mária Initial functions defining dominant positive solutions of a linear differential equation with delay. (English) Zbl 1377.34083 Adv. Difference Equ. 2012, Paper No. 213, 12 p. (2012). MSC: 34K06 34K25 34B18 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{M. Kúdelčíková}, Adv. Difference Equ. 2012, Paper No. 213, 12 p. (2012; Zbl 1377.34083) Full Text: DOI
Diblik, J.; Khusainov, D.; Kukharenko, O. Representation of the solution for linear system of delay equations with distributed parameters. (English) Zbl 1305.35014 Nonlinear Dyn. Syst. Theory 12, No. 3, 251-268 (2012). MSC: 35C10 35G45 35R10 PDFBibTeX XMLCite \textit{J. Diblik} et al., Nonlinear Dyn. Syst. Theory 12, No. 3, 251--268 (2012; Zbl 1305.35014)
Diblík, J.; Růžičková, M.; Šutá, Z. Asymptotic convergence of the solutions of a discrete equation with several delays. (English) Zbl 1302.39011 Appl. Math. Comput. 218, No. 9, 5391-5401 (2012). MSC: 39A12 39A06 34K06 PDFBibTeX XMLCite \textit{J. Diblík} et al., Appl. Math. Comput. 218, No. 9, 5391--5401 (2012; Zbl 1302.39011) 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.; Diblík, J.; Růžičková, M.; Šutá, Z. Asymptotic convergence of the solutions of a discrete equation with two delays in the critical case. (English) Zbl 1220.39004 Abstr. Appl. Anal. 2011, Article ID 709427, 15 p. (2011). MSC: 39A12 39A06 34K06 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Abstr. Appl. Anal. 2011, Article ID 709427, 15 p. (2011; Zbl 1220.39004) Full Text: DOI
Baštinec, J.; Diblík, J.; Šmarda, Z. Existence of positive solutions of discrete linear equations with a single delay. (English) Zbl 1207.39014 J. Difference Equ. Appl. 16, No. 9, 1047-1056 (2010). Reviewer: Johanna Michor (Wien) MSC: 39A22 39A06 39A12 39A21 34K11 PDFBibTeX XMLCite \textit{J. Baštinec} et al., J. Difference Equ. Appl. 16, No. 9, 1047--1056 (2010; Zbl 1207.39014) Full Text: DOI
Baštinec, Jaromír; Diblík, Josef Remark on positive solutions of discrete equation \(\Delta u(k+n)=-p(k)u(k)\). (English) Zbl 1224.39002 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e2145-e2151 (2005). MSC: 39A06 39A12 39A22 34K06 PDFBibTeX XMLCite \textit{J. Baštinec} and \textit{J. Diblík}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, e2145--e2151 (2005; Zbl 1224.39002) Full Text: DOI
Diblík, J.; Koksch, N. Positive solutions of the equation \(\dot x(t)=-c(t)x(t-\tau)\) in the critical case. (English) Zbl 0968.34057 J. Math. Anal. Appl. 250, No. 2, 635-659 (2000). Reviewer: Vladimir Răsvan (Craiova) MSC: 34K12 34K11 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{N. Koksch}, J. Math. Anal. Appl. 250, No. 2, 635--659 (2000; Zbl 0968.34057) Full Text: DOI
Diblík, Josef A criterion for convergence of solutions to homogeneous delay linear differential equations. (English) Zbl 0953.34065 Ann. Pol. Math. 72, No. 2, 115-130 (1999). Reviewer: Pei-xuan Weng (Guangzhou) MSC: 34K25 34K07 PDFBibTeX XMLCite \textit{J. Diblík}, Ann. Pol. Math. 72, No. 2, 115--130 (1999; Zbl 0953.34065) Full Text: DOI
Diblík, Josef Bounded solutions of second order differential equation with constant delay. (English) Zbl 0939.34069 Marušiak, Pavol (ed.) et al., Proceedings of the international scientific conference of mathematics, Žilina, Slovakia, June 30-July 3, 1998. Vol. I. Žilina: EDIS, Žilina University Publisher. 33-40 (1999). Reviewer: Jan Cermak (Brno) MSC: 34K25 34K12 PDFBibTeX XMLCite \textit{J. Diblík}, in: Proceedings of the international scientific conference of mathematics, Žilina, Slovakia, June 30--July 3, 1998. Vol. I. Žilina: EDIS, Žilina University Publisher. 33--40 (1999; Zbl 0939.34069)
Diblik, Jozef Asymptotic formulae for particular solutions of a linear differential equation of first order. (Russian) Zbl 0547.34043 Mat. Vesn. 6(19)(34), 357-363 (1982). Reviewer: J.Banas MSC: 34E05 34M99 PDFBibTeX XMLCite \textit{J. Diblik}, Mat. Vesn. 6(19)(34), 357--363 (1982; Zbl 0547.34043)