Diblík, Josef Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions. (English) Zbl 1490.34070 Appl. Math. Lett. 119, Article ID 107236, 7 p. (2021). Reviewer: Neville Ford (Chester) MSC: 34K06 PDFBibTeX XMLCite \textit{J. Diblík}, Appl. Math. Lett. 119, Article ID 107236, 7 p. (2021; Zbl 1490.34070) Full Text: DOI
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 Long-time behavior of positive solutions of a differential equation with state-dependent delay. (English) Zbl 1497.34107 Discrete Contin. Dyn. Syst., Ser. S 13, No. 1, 31-46 (2020). Reviewer: Zhanyuan Hou (London) MSC: 34K25 34K12 34K43 PDFBibTeX XMLCite \textit{J. Diblík}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 1, 31--46 (2020; Zbl 1497.34107) 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
Diblík, Josef Positive solutions to generalized Dickman equation. (English) Zbl 1409.34061 Appl. Math. Lett. 82, 111-117 (2018). MSC: 34K25 PDFBibTeX XMLCite \textit{J. Diblík}, Appl. Math. Lett. 82, 111--117 (2018; Zbl 1409.34061) 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
Diblík, Josef Positive solutions of nonlinear delayed differential equations with impulses. (English) Zbl 1373.34120 Appl. Math. Lett. 72, 16-22 (2017). MSC: 34K45 34K25 PDFBibTeX XMLCite \textit{J. Diblík}, Appl. Math. Lett. 72, 16--22 (2017; Zbl 1373.34120) Full Text: DOI
Diblík, Josef; Kúdelčíková, Mária Two classes of asymptotically different positive solutions to advanced differential equations via two different fixed-point principles. (English) Zbl 1365.34128 Math. Methods Appl. Sci. 40, No. 5, 1422-1437 (2017). MSC: 34K25 34K12 34K07 47N20 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{M. Kúdelčíková}, Math. Methods Appl. Sci. 40, No. 5, 1422--1437 (2017; Zbl 1365.34128) Full Text: DOI
Diblík, Josef Integral criteria for the existence of positive solutions of first-order linear differential advanced-argument equations. (English) Zbl 1351.34075 Appl. Math. Lett. 63, 40-45 (2017). MSC: 34K06 34K11 PDFBibTeX XMLCite \textit{J. Diblík}, Appl. Math. Lett. 63, 40--45 (2017; Zbl 1351.34075) Full Text: DOI
Diblik, Josef Criteria for the existence of positive solutions to delayed functional differential equations. (English) Zbl 1389.34216 Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 68, 15 p. (2016). MSC: 34K12 34K25 PDFBibTeX XMLCite \textit{J. Diblik}, Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 68, 15 p. (2016; Zbl 1389.34216) 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, J. Explicit integral criteria for the existence of positive solutions of the linear delayed equation \(\dot{x}(t) = -c(t) x(t -\tau(t))\). (English) Zbl 1325.34076 Adv. Math. 280, 1-20 (2015). Reviewer: Giselle A. Monteiro (Prague) MSC: 34K06 34K12 PDFBibTeX XMLCite \textit{J. Diblík}, Adv. Math. 280, 1--20 (2015; Zbl 1325.34076) 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, 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
Diblík, J.; Kúdelčíková, M. Two classes of positive solutions of first order functional differential equations of delayed type. (English) Zbl 1263.34107 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 13, 4807-4820 (2012). Reviewer: Bolis Basit (Clayton) MSC: 34K25 34K11 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{M. Kúdelčíková}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 13, 4807--4820 (2012; Zbl 1263.34107) 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, 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
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
Baštinec, Jaromír; Diblík, Josef; Hlavičková, Irena Inequalities for a class of positive solutions of discrete equation \(\Delta u(n+k)=-p(n)u(n)\) in the critical case. (English) Zbl 1157.39003 Int. J. Pure Appl. Math. 41, No. 4, 539-548 (2007). Reviewer: Fozi Dannan (Damascus) MSC: 39A11 39A10 PDFBibTeX XMLCite \textit{J. Baštinec} et al., Int. J. Pure Appl. Math. 41, No. 4, 539--548 (2007; Zbl 1157.39003)
Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk Positive solutions of delayed discrete equations. (English) Zbl 1143.39002 Int. J. Pure Appl. Math. 41, No. 4, 529-538 (2007). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A11 39A10 39A12 PDFBibTeX XMLCite \textit{J. Baštinec} et al., Int. J. Pure Appl. Math. 41, No. 4, 529--538 (2007; Zbl 1143.39002)
Diblík, Josef; Kúdelčíková, Mária Inequalities for positive solutions of the equation \(\dot y(t)= -\sum_{i=1}^n (a_i+b_i/t) y(t-\tau_i)\). (English) Zbl 1133.34041 Agarwal, Ravi P. (ed.) et al., Proceedings of the international conference on differential and difference equations and their applications, Melbourne, FL, USA, August 1–5, 2005. New York: Hindawi Publishing Corporation (ISBN 977-5945-38-0/hbk). 341-350 (2006). Reviewer: Qiru Wang (Guangzhou) MSC: 34K25 34K06 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{M. Kúdelčíková}, in: Proceedings of the international conference on differential and difference equations and their applications, Melbourne, FL, USA, August 1--5, 2005. New York: Hindawi Publishing Corporation. 341--350 (2006; Zbl 1133.34041)
Diblík, Josef; Svoboda, Zdeněk Positive solutions of \(p\)-type retarded functional differential equations. (English) Zbl 1109.34058 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 8, 1831-1848 (2006). Reviewer: Stig-Olof Londen (Helsinki) MSC: 34K25 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{Z. Svoboda}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 8, 1831--1848 (2006; Zbl 1109.34058) 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, Josef; Svoboda, Zdeněk Positive solutions of retarded functional differential equations. (English) Zbl 1224.34249 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e813-e821 (2005). MSC: 34K25 34K11 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{Z. Svoboda}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, e813--e821 (2005; Zbl 1224.34249) Full Text: DOI
Diblík, Josef; Růžičková, Miroslava Existence of positive solutions of a singular initial problem for a nonlinear system of differential equations. (English) Zbl 1080.34001 Rocky Mt. J. Math. 34, No. 3, 923-944 (2004). Reviewer: Ricardo Riaza (Madrid) MSC: 34A09 34A12 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{M. Růžičková}, Rocky Mt. J. Math. 34, No. 3, 923--944 (2004; Zbl 1080.34001) Full Text: DOI
Diblík, J. Asymptotic behavior of solutions of discrete equations. (English) Zbl 1060.39004 Funct. Differ. Equ. 11, No. 1-2, 37-48 (2004). Reviewer: Vladimir Răsvan (Compiègne) MSC: 39A11 39A12 PDFBibTeX XMLCite \textit{J. Diblík}, Funct. Differ. Equ. 11, No. 1--2, 37--48 (2004; Zbl 1060.39004)
Baštinec, Jaromír; Diblík, Josef One case of appearance of positive solutions of delayed discrete equations. (English) Zbl 1099.39001 Appl. Math., Praha 48, No. 6, 429-436 (2003). Reviewer: Roman Hilscher (Brno) MSC: 39A10 39A11 PDFBibTeX XMLCite \textit{J. Baštinec} and \textit{J. Diblík}, Appl. Math., Praha 48, No. 6, 429--436 (2003; Zbl 1099.39001) Full Text: DOI
Diblík, Josef; Svoboda, Zdeněk An existence criterion of positive solutions of \(p\)-type retarded functional differential equations. (English) Zbl 1019.34072 J. Comput. Appl. Math. 147, No. 2, 315-331 (2002). MSC: 34K12 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{Z. Svoboda}, J. Comput. Appl. Math. 147, No. 2, 315--331 (2002; Zbl 1019.34072) Full Text: DOI
Diblík, Josef; Rŭ žičková, Miroslava Existence of positive solutions of \(n\)-dimensional system of nonlinear differential equations entering into a singular point. (English) Zbl 1090.34530 Arch. Math., Brno 36, Suppl., 435-446 (2000). Reviewer: Ladislav Adamec (Brno) MSC: 34C05 34D05 PDFBibTeX XMLCite \textit{J. Diblík} and \textit{M. Rŭ žičková}, Arch. Math., Brno 36, 435--446 (2000; Zbl 1090.34530) Full Text: EuDML EMIS
Diblík, Josef A criterion for existence of positive solutions of systems of retarded functional differential equations. (English) Zbl 0935.34061 Nonlinear Anal., Theory Methods Appl. 38, No. 3, A, 327-339 (1999). Reviewer: R.R.Akhmerov (Novosibirsk) MSC: 34K12 34K05 PDFBibTeX XMLCite \textit{J. Diblík}, Nonlinear Anal., Theory Methods Appl. 38, No. 3, 327--339 (1999; Zbl 0935.34061) Full Text: DOI