Edit Profile (opens in new tab) Diblík, Josef Co-Author Distance Author ID: diblik.josef Published as: Diblík, Josef; Diblík, J.; Diblik, J.; Diblik, Josef; Diblik, Jozef; Diblik, Joseph; Diblík, Jozef; Diblík, J more...less Documents Indexed: 268 Publications since 1982, including 1 Additional arXiv Preprint 6 Contributions as Editor Reviewing Activity: 261 Reviews Co-Authors: 98 Co-Authors with 207 Joint Publications 2,513 Co-Co-Authors all top 5 Co-Authors 67 single-authored 52 Růžičková, Miroslava 45 Šmarda, Zdeněk 39 Khusainov, Denis Ya. 34 Baštinec, Jaromír 18 Svoboda, Zdeněk 15 Berezansky, Leonid M. 12 Stević, Stevo 11 Iričanin, Bratislav D. 11 Kúdelčíková, Mária 8 Fečkan, Michal 8 Pospíšil, Michal 8 Schmeidel, Ewa L. 6 Dzhalladova, Irada A. 5 Halfarová, Hana 5 Hlavičková, Irena 5 Šutá, Zuzana 4 Benditkis, D. B. 4 Galewski, Marek 4 Nowak, Christine 4 Růžičková, Irena 3 Boĭchuk, Oleksandr Andriĭovych 3 Chupáč, Radoslav 3 Koksch, Norbert J. 3 Lukachova, J. 3 Šafařík, Jan 3 Sirenko, Andrii S. 3 Václavíková, Barbora 3 Vítovec, Jiří 2 Chatzarakis, George E. 2 Demchenko, Hanna 2 Janglajew, Klara R. 2 Khan, Yasir 2 Korobko, Evgeniya 2 Mamedova, Violeta G. 2 Medina, Rigoberto 2 Mencáková, Kristýna 2 Michalková, Mária 2 Morávková, Blanka 2 Rodkina, Alexandra 2 Siegmund, Stefan 2 Stavroulakis, Ioannis P. 2 Susanto, Hadi 2 Vážanová, Gabriela 2 Zafer, Ağacık 1 Anashkin, Oleg V. 1 Astashova, Irina Viktorovna 1 Baštincová, A. 1 Battelli, Flaviano 1 Braverman, Elena 1 Calamai, Alessandro 1 Domoshnitsky, Alexander I. 1 Faraz, Naeem 1 Franca, Matteo 1 Grytsaj, Iryna V. 1 Grytsay, Irina V. 1 Khusainov, Timur D. 1 Kiguradze, Ivan Tarielovich 1 Koniorczyk, Marcin 1 Kossowski, Igor 1 Kukharenko, O. V. 1 Kukharenko, Oleksandra 1 Kuzmich, Olena I. 1 Laitochová, Jitka 1 Li, Tongxing 1 Lukacheva, Ya. 1 Lukovsky, Ivan Oleksandrovych 1 Łupińska, Barbara 1 Makarov, Volodymyr Leonidovych 1 Migda, Małgorzata 1 Miliaras, George Nickolaos 1 Motreanu, Dumitru 1 Parasyuk, Igor O. 1 Perestyuk, Mykola Oleksiĭovych 1 Pickton, J. 1 Pinelas, Sandra 1 Pituk, Mihály 1 Rădulescu, Vicenţiu D. 1 Rebenda, Josef 1 Rogovchenko, Yuriy V. 1 Rothos, Vassilis M. 1 Rozov, Nikolaĭ Khristovich 1 Ruzhickova, M. 1 Růžičová, Miroslava 1 Ryvolová, A. 1 Sadyrbaev, Felix Zh. 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Sharkovs’kyĭ, Oleksandr Mykolaĭovych 1 Shatyrko, Andrei 1 Shatyrko, Andriy 1 Stanzhyts’ky, O. M. 1 Szederkényi, Gábor 1 Teplinsky, Yuriy V. 1 Tkachenko, Victor Ivanovich 1 Wang, Qiru 1 Zbąszyniak, Małgorzata 1 Zhang, Binggen 1 Zhuravlëv, Viktor Filippovich 1 Zonenberg, Joanna all top 5 Serials 29 Abstract and Applied Analysis 20 Applied Mathematics and Computation 20 Advances in Difference Equations 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Applied Mathematics Letters 11 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 9 Journal of Mathematical Analysis and Applications 6 Computers & Mathematics with Applications 6 Electronic Journal of Qualitative Theory of Differential Equations 6 Studies of the University of Žilina. Mathematical Series 5 Discrete and Continuous Dynamical Systems. Series B 4 Archivum Mathematicum 4 Fasciculi Mathematici 4 Functional Differential Equations 4 Discrete Dynamics in Nature and Society 4 Studies of University in Žilina. Mathematical Physical Series 4 Advances in Nonlinear Analysis 3 Ukrainian Mathematical Journal 3 Differentsial’nye Uravneniya 3 IEEE Transactions on Automatic Control 3 Tatra Mountains Mathematical Publications 3 Journal of Difference Equations and Applications 3 Boundary Value Problems 3 Discrete and Continuous Dynamical Systems. Series S 2 Journal of the Franklin Institute 2 Annales Polonici Mathematici 2 Automatica 2 Demonstratio Mathematica 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Mathematische Nachrichten 2 SIAM Journal on Control and Optimization 2 Siberian Mathematical Journal 2 Soviet Mathematics. Doklady 2 Differential and Integral Equations 2 Journal of Dynamics and Differential Equations 2 Opuscula Mathematica 2 Dinamicheskie Sistemy (Simferopol’) 2 Nonlinear Dynamics and Systems Theory 2 International Journal of Pure and Applied Mathematics 2 Knižnice Odborných a Vědeckých SpisůVysokého UčeníTechnického v Brně. B 2 Nonlinear Oscillations 2 Nonlinear Analysis. Theory, Methods & Applications 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Advances in Mathematics 1 Differential Equations 1 Funkcialaj Ekvacioj. Serio Internacia 1 Matematički Vesnik 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Rivista di Matematica della Università di Parma. Serie IV 1 Sbornik Vysokeho Uceni Technickeho v Brne 1 Soviet Mathematics 1 Mathematica Bohemica 1 Applications of Mathematics 1 Dynamic Systems and Applications 1 Studia Universitatis Babeș-Bolyai. Mathematica 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Georgian Mathematical Journal 1 Mathematical Communications 1 Communications in Applied Analysis 1 Nonlinear Dynamics 1 Journal of Computational Analysis and Applications 1 Acta Mathematica Sinica. English Series 1 Miskolc Mathematical Notes all top 5 Fields 179 Ordinary differential equations (34-XX) 92 Difference and functional equations (39-XX) 22 Systems theory; control (93-XX) 12 Partial differential equations (35-XX) 7 Operator theory (47-XX) 6 Real functions (26-XX) 6 Probability theory and stochastic processes (60-XX) 5 General and overarching topics; collections (00-XX) 5 Integral equations (45-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Numerical analysis (65-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 200 Publications have been cited 1,672 times in 640 Documents Cited by ▼ Year ▼ Controllability of linear discrete systems with constant coefficients and pure delay. Zbl 1161.93004 Diblík, Josef; Khusainov, Denys Ya.; Růžičková, M. 51 2008 On some solvable difference equations and systems of difference equations. Zbl 1253.39001 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 51 2012 Representation of solutions of discrete delayed system \(x(k+1)=Ax(k)+Bx(k-m)+f(k)\) with commutative matrices. Zbl 1094.39002 Diblík, J.; Khusainov, D. Ya. 49 2006 Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices. Zbl 1283.34057 Diblík, J.; Fečkan, M.; Pospíšil, M. 44 2013 Representation of a solution of the Cauchy problem for an oscillating system with pure delay. Zbl 1276.34055 Khusainov, D. Ya.; Diblík, J.; Růžičková, M.; Lukáčová, J. 42 2008 Representation of solutions of linear discrete systems with constant coefficients and pure delay. Zbl 1139.39027 Diblík, J.; Khusainov, D. Ya. 39 2006 Fredholm’s boundary-value problems for differential systems with a single delay. Zbl 1190.34073 Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 39 2010 On the new control functions for linear discrete delay systems. Zbl 1295.93008 Diblík, J.; Fečkan, M.; Pospíšil, M. 34 2014 On a solvable system of rational difference equations. Zbl 1298.39013 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 34 2014 Exponential stability of linear discrete systems with constant coefficients and single delay. Zbl 1330.39019 Diblík, J.; Khusainov, D. Ya.; Baštinec, J.; Sirenko, A. S. 33 2016 On a third-order system of difference equations with variable coefficients. Zbl 1242.39011 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 32 2012 Asymptotic representation of solutions of the equation \(\dot y(t)=\beta(t)[y(t)-y(t-\tau(t))]\). Zbl 0892.34067 Diblík, Josef 29 1998 A criterion for existence of positive solutions of systems of retarded functional differential equations. Zbl 0935.34061 Diblík, Josef 28 1999 Control of oscillating systems with a single delay. Zbl 1184.93015 Diblík, J.; Khusainov, D. Ya.; Lukáčová, J.; Růžičková, M. 23 2010 Positive solutions of the equation \(\dot x(t)=-c(t)x(t-\tau)\) in the critical case. Zbl 0968.34057 Diblík, J.; Koksch, N. 23 2000 Solvability of nonlinear difference equations of fourth order. Zbl 1314.39013 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 22 2014 Representation of the solutions of linear discrete systems with constant coefficients and two delays. Zbl 1463.39002 Diblík, Josef; Morávková, Blanka 21 2014 Asymptotically periodic solutions of Volterra system of difference equations. Zbl 1202.39013 Diblík, Josef; Schmeidel, Ewa; Růžičková, Miroslava 21 2010 Existence of positive solutions of discrete linear equations with a single delay. Zbl 1207.39014 Baštinec, J.; Diblík, J.; Šmarda, Z. 21 2010 On the existence of solutions of linear Volterra difference equations asymptotically equivalent to a given sequence. Zbl 1250.39002 Diblík, Josef; Schmeidel, Ewa 20 2012 On the difference equation \(x_{n+1} = x_nx_{n-k}/(x_{n-k+1}(a + bx_nx_{n-k}))\). Zbl 1246.39011 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 20 2012 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. Zbl 1223.39008 Baštinec, J.; Berezansky, L.; Diblík, J.; Šmarda, Z. 18 2011 Positive and oscillating solutions of differential equations with delay in critical case. Zbl 0898.34062 Diblik, Josef 18 1998 Exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefficients. Zbl 1214.34059 Baštinec, J.; Diblík, J.; Khusainov, D. Ya.; Ryvolová, A. 18 2010 Discrete retract principle for systems of discrete equations. Zbl 0999.39005 Diblík, J. 17 2001 Discrete matrix delayed exponential for two delays and its property. Zbl 1390.39003 Diblík, Josef; Morávková, Blanka 17 2013 Boundary-value problems for weakly nonlinear delay differential systems. Zbl 1222.34075 Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 16 2011 Existence of asymptotically periodic solutions of system of Volterra difference equations. Zbl 1180.39022 Diblík, Josef; Schmeidel, Ewa; Růžičková, Miroslava 16 2009 Positive solutions of \(p\)-type retarded functional differential equations. Zbl 1109.34058 Diblík, Josef; Svoboda, Zdeněk 16 2006 On the critical case in oscillation for differential equations with a single delay and with several delays. Zbl 1209.34080 Baštinec, Jaromír; Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk 16 2010 Nonexistence of periodic solutions and \( S\)-asymptotically periodic solutions in fractional difference equations. Zbl 1338.39026 Diblík, J.; Fečkan, M.; Pospíšil, M. 15 2015 Convergence of the solutions of the equation \(\dot y(t) = \beta(t)[y(t-\delta)-y(t-\tau)]\) in the critical case. Zbl 1125.34059 Diblík, Josef; Ružičková, Miroslava 14 2007 On the difference equation \(x_n = a_nx_{n-k}/(b_n + c_nx_{n-1} \cdots x_{n-k})\). Zbl 1246.39012 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 14 2012 Retract principle for neutral functional differential equations. Zbl 1238.34143 Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 14 2009 Exponential solutions of equation \(\dot y(t)=\beta(t)[y(t-\delta)-y(t-\tau)]\). Zbl 1058.34099 Diblík, Josef; Růžičková, Miroslava 14 2004 Anti-Lyapunov method for systems of discrete equations. Zbl 1065.39008 Diblík, Josef 14 2004 Asymptotic convergence of the solutions of a discrete equation with two delays in the critical case. Zbl 1220.39004 Berezansky, L.; Diblík, J.; Růžičková, M.; Šutá, Z. 13 2011 Asymptotic convergence criteria of solutions of delayed functional differential equations. Zbl 1025.34062 Diblík, Josef 13 2002 An efficient new perturbative Laplace method for space-time fractional telegraph equations. Zbl 1377.35269 Khan, Yasir; Diblík, Josef; Faraz, Naeem; Šmarda, Zdeněk 13 2012 On conditional stability of the solutions of the systems of differential equations, not solved with respect to the derivatives. Zbl 0672.34044 Diblik, Josef 12 1985 On a delay population model with quadratic nonlinearity. Zbl 1377.34093 Berezansky, Leonid; Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk 12 2012 Stabilization of Lur’e-type nonlinear control systems by Lyapunov-Krasovskii functionals. Zbl 1377.34081 Shatyrko, Andrei; Diblík, Josef; Khusainov, Denys; Růžičková, Miroslava 12 2012 On a delay population model with a quadratic nonlinearity without positive steady state. Zbl 1365.92087 Baštinec, Jaromír; Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk 12 2014 Asymptotic behavior of solutions and positive solutions of differential delayed equations. Zbl 1129.34050 Diblík, J.; Růžičková, M. 11 2007 Asymptotic equilibrium for homogeneous delay linear differential equations with \(L\)-perturbation term. Zbl 0896.34065 Diblík, Josef 11 1997 Existence of positive solutions of a singular initial problem for a nonlinear system of differential equations. Zbl 1080.34001 Diblík, Josef; Růžičková, Miroslava 11 2004 Subdominant positive solutions of the discrete equation \(\Delta u(k+n)=-p(k)u(k)\). Zbl 1078.39004 Baštinec, Jaromír; Diblík, Josef 11 2004 Boundary value problems for delay differential systems. Zbl 1204.34087 Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 11 2010 Stability of nonlinear autonomous quadratic discrete systems in the critical case. Zbl 1200.39005 Diblík, Josef; Khusainov, Denys Ya.; Grytsay, Irina V.; Šmarda, Zdenĕk 11 2010 Asymptotic convergence of the solutions of a dynamic equation on discrete time scales. Zbl 1232.39006 Diblík, J.; Růžičková, M.; Šmarda, Z.; Šutá, Z. 10 2012 Existence of asymptotically periodic solutions of scalar Volterra difference equations. Zbl 1212.39020 Diblík, Josef; Růžičková, Miroslava; Schmeidel, Ewa 10 2009 Ważewski’s method for systems of dynamic equations on time scales. Zbl 1238.34156 Diblík, Josef; Růžičková, Miroslava; Šmarda, Zdeněk 10 2009 Behaviour of solutions to linear differential equations with delay. Zbl 0914.34065 Diblík, Josef 10 1998 Explicit criteria for the existence of positive solutions for a scalar differential equation with variable delay in the critical case. Zbl 1155.34337 Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 10 2008 Two classes of asymptotically different positive solutions of the equation \(\dot y (t)= -f(t,y_t)\). Zbl 1169.34050 Diblík, Josef; Kúdelčíková, Mária 10 2009 Asymptotic convergence of the solutions of a discrete equation with several delays. Zbl 1302.39011 Diblík, J.; Růžičková, M.; Šutá, Z. 10 2012 Simple uniform exponential stability conditions for a system of linear delay differential equations. Zbl 1328.34066 Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 10 2015 Representation of a solution of the Cauchy problem for an oscillating system with multiple delays and pairwise permutable matrices. Zbl 1277.34093 Diblík, Josef; Fečkan, Michal; Pospíšil, Michal 10 2013 Weighted asymptotically periodic solutions of linear Volterra difference equations. Zbl 1220.39016 Diblík, Josef; Růžičková, Miroslava; Schmeidel, Ewa; Zbąszyniak, Małgorzata 9 2011 Estimates of exponential stability for solutions of stochastic control systems with delay. Zbl 1217.93150 Dzhalladova, Irada A.; Baštinec, Jaromír; Diblík, Josef; Khusainov, Denys Y. 9 2011 Remark on positive solutions of discrete equation \(\Delta u(k+n)=-p(k)u(k)\). Zbl 1224.39002 Baštinec, Jaromír; Diblík, Josef 9 2005 On solutions of a singular system of differential equations not in explicit form with respect to the derivatives. Zbl 0591.34003 Diblík, Josef 9 1984 Positive solutions of nonlinear delayed differential equations with impulses. Zbl 1373.34120 Diblík, Josef 9 2017 Solution of the first boundary-value problem for a system of autonomous second-order linear partial differential equations of parabolic type with a single delay. Zbl 1250.35117 Diblík, Josef; Khusainov, Denis; Kukharenko, Oleksandra; Svoboda, Zdeněk 8 2012 Existence and asymptotic behavior of positive solutions of functional differential equations of delayed type. Zbl 1210.34106 Diblík, J.; Kúdelčíková, M. 8 2011 Oscillation of solutions of a linear second-order discrete-delayed equation. Zbl 1200.39002 Baštinec, J.; Diblík, J.; Šmarda, Z. 8 2010 Combination of Liapunov and retract methods in the investigation of the asymptotic behavior of solutions of systems of discrete equations. Zbl 1183.39002 Diblík, Josef; Hlavičková, Irena 8 2009 An existence criterion of positive solutions of \(p\)-type retarded functional differential equations. Zbl 1019.34072 Diblík, Josef; Svoboda, Zdeněk 8 2002 Weak delay in systems with an aftereffect. Zbl 1048.34104 Khusainov, D. Ya.; Benditkis, D. B.; Diblik, J. 8 2002 A nonuniqueness criterion for a singular system of two ordinary differential equations. Zbl 1111.34007 Diblík, Josef; Nowak, Christine 8 2006 On the existence of solutions of the singular Cauchy problem for systems of differential equations not solved with respect to the derivatives. Zbl 0583.34005 Diblík, Jozef 8 1985 Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay. Zbl 1167.39001 Diblík, J.; Khusainov, D. Ya.; Šmarda, Z. 8 2009 Explicit general solution of planar linear discrete systems with constant coefficients and weak delays. Zbl 1380.39002 Diblík, Josef; Halfarová, Hana 8 2013 Classification of neutral difference equations of any order with respect to the asymptotic behavior of their solutions. Zbl 1364.39019 Chatzarakis, G. E.; Diblík, J.; Miliaras, G. N.; Stavroulakis, I. P. 8 2014 Positive solutions of second-order delay differential equations with a damping term. Zbl 1201.34095 Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk 8 2010 Relative and trajectory controllability of linear discrete systems with constant coefficients and a single delay. Zbl 1482.93073 Diblík, Josef 8 2019 Sufficient conditions for the existence of global solutions of delayed differential equations. Zbl 1102.34048 Diblík, J.; Koksch, N. 7 2006 Bounded solutions of nonlinear discrete equations. Zbl 1105.39005 Diblík, Josef; Migda, Małgorzata; Schmeidel, Ewa 7 2006 Travelling waves in nonlinear magnetic metamaterials. Zbl 1327.82096 Diblík, J.; Fečkan, M.; Pospíšil, M.; Rothos, V. M.; Susanto, H. 7 2014 Asymptotic behavior of solutions of discrete equations. Zbl 1060.39004 Diblík, J. 7 2004 Exponential stability tests for linear delayed differential systems depending on all delays. Zbl 1429.34074 Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 7 2019 Uniform exponential stability of linear delayed integro-differential vector equations. Zbl 1464.45021 Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 7 2021 Stability and exponential stability of linear discrete systems with constant coefficients and single delay. Zbl 1410.39027 Diblík, J.; Khusainov, D. Ya.; Baštinec, J.; Sirenko, A. S. 7 2015 Representation of solutions to delayed linear discrete systems with constant coefficients and with second-order differences. Zbl 1436.39003 Diblík, Josef; Mencáková, Kristýna 7 2020 Asymptotic behaviour of solutions of systems of discrete equations via Liapunov type technique. Zbl 1058.39001 Diblík, J. 6 2003 Existence of global solutions of delayed differential equations via retract approach. Zbl 1101.34046 Diblík, J.; Koksch, N. 6 2006 Subdominant positive solutions of the discrete equation \(\Delta u(k+n)= -p(k)u(k)\). Zbl 1101.39003 Baštinec, Jaromír; Diblík, Josef 6 2004 Positive solutions of retarded functional differential equations. Zbl 1224.34249 Diblík, Josef; Svoboda, Zdeněk 6 2005 Existence of bounded solutions of discrete delayed equations. Zbl 1065.39006 Baštinec, Jaromír; Diblík, Josef; Zhang, Binggen 6 2004 Two classes of positive solutions of first order functional differential equations of delayed type. Zbl 1263.34107 Diblík, J.; Kúdelčíková, M. 6 2012 Extension of the differential transformation method to nonlinear differential and integro-differential equations with proportional delays. Zbl 1380.34028 Šmarda, Zdeněk; Diblík, Josef; Khan, Yasir 6 2013 An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation. Zbl 1308.34079 Diblík, Josef; Janglajew, Klara; Kúdelčiková, Mária 6 2014 Asymptotical convergence of the solutions of a linear differential equation with delays. Zbl 1203.34122 Diblík, Josef; Růžičková, Miroslava; Šutá, Zuzana 6 2010 A note on relative controllability of higher order linear delayed discrete systems. Zbl 07320121 Diblík, Josef; Mencáková, Kristýna 6 2020 Retract principle for difference equations. Zbl 0988.39013 Diblík, J. 5 2000 A criterion of asymptotic convergence for a class of nonlinear differential equations with delay. Zbl 1042.34580 Diblík, J. 5 2001 Nonoscillating solutions of the equation \(\dot x(t)= -(a+ \frac{b}{t}) x(t-\tau)\). Zbl 1064.34044 Diblík, Josef; Kúdelčíková, Mária 5 2002 On the existence of 0-curves of a singular system of differential equations. Zbl 0584.34022 Diblik, J. 5 1985 A multidimensional singular boundary value problem of Cauchy-Nicoletti type. Zbl 0886.34017 Diblík, J. 5 1997 An explicit criterion for the existence of positive solutions of the linear delayed equation \(\dot{x}(t)= -c(t)x(t - \tau (t))\). Zbl 1243.34099 Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk 5 2011 Multiplicity of solutions for nonlinear coercive problems. Zbl 07725212 Diblík, J.; Galewski, M.; Rădulescu, V. D.; Šmarda, Z. 2 2023 Exponential stability criteria for linear neutral systems with applications to neural networks of neutral type. Zbl 1506.93074 Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 1 2023 Simple tests for uniform exponential stability of a linear delayed vector differential equation. Zbl 07560664 Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 2 2022 Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations. Zbl 07493788 Diblík, J.; Vážanová, G. 2 2022 Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations. Zbl 1510.39001 Baštinec, J.; Diblík, J.; Pinelas, S.; Vala, J. 1 2022 Uniform exponential stability of linear delayed integro-differential vector equations. Zbl 1464.45021 Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 7 2021 Existence of a solution of discrete Emden-Fowler equation caused by continuous equation. Zbl 1486.39003 Astashova, Irina; Diblík, Josef; Korobko, Evgeniya 2 2021 Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions. Zbl 1490.34070 Diblík, Josef 1 2021 Representation of solutions to delayed linear discrete systems with constant coefficients and with second-order differences. Zbl 1436.39003 Diblík, Josef; Mencáková, Kristýna 7 2020 A note on relative controllability of higher order linear delayed discrete systems. Zbl 07320121 Diblík, Josef; Mencáková, Kristýna 6 2020 On local stability of stochastic delay nonlinear discrete systems with state-dependent noise. Zbl 1433.39006 Diblík, J.; Rodkina, A.; Šmarda, Z. 3 2020 Existence of global solutions to nonlinear mixed-type functional differential equations. Zbl 1470.34164 Diblík, J.; Vážanová, G. 2 2020 Long-time behavior of positive solutions of a differential equation with state-dependent delay. Zbl 1497.34107 Diblík, Josef 1 2020 Existence of strictly decreasing positive solutions of linear differential equations of neutral type. Zbl 1446.34076 Diblík, Josef; Svoboda, Zdeněk 1 2020 Relative and trajectory controllability of linear discrete systems with constant coefficients and a single delay. Zbl 1482.93073 Diblík, Josef 8 2019 Exponential stability tests for linear delayed differential systems depending on all delays. Zbl 1429.34074 Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 7 2019 Positive solutions to delayed differential equations of the second-order. Zbl 1412.34216 Diblík, Josef; Kúdelčíková, Mária; Ružičková, Miroslava 3 2019 Formulas for the general solution of weakly delayed planar linear discrete systems with constant coefficients and their analysis. Zbl 1428.39003 Diblík, J.; Halfarová, H.; Šafařík, J. 2 2019 Optimal stabilization for differential systems with delays – Malkin’s approach. Zbl 1414.93160 Demchenko, Hanna; Diblík, J.; Khusainov, D. Ya. 2 2019 Long-time behaviour of solutions of delayed-type linear differential equations. Zbl 1413.34210 Diblik, Josef 5 2018 Exponential stability of linear delayed differential systems. Zbl 1426.34094 Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 5 2018 Exact asymptotics of positive solutions to Dickman equation. Zbl 1374.34243 Diblík, Josef; Medina, Rigoberto 3 2018 Asymptotic properties of delayed matrix exponential functions via Lambert function. Zbl 1374.34244 Diblík, Josef; Svoboda, Zdeněk 1 2018 Solution to a stochastic pursuit model using moment equations. Zbl 1374.34228 Růžičková, Miroslava; Dzhalladova, Irada; Laitochová, Jitka; Diblík, Josef 1 2018 Dominant and subdominant positive solutions to generalized dickman equation. Zbl 1427.34087 Diblík, Josef; Medina, Rigoberto 1 2018 Exponential stability of linear discrete systems with multiple delays. Zbl 1417.39055 Baštinec, J.; Demchenko, H.; Diblík, J.; Khusainov, D. Ya. 1 2018 An application of a diffeomorphism theorem to Volterra integral operator. Zbl 1463.45056 Diblík, Josef; Galewski, Marek; Koniorczyk, Marcin; Schmeidel, Ewa 1 2018 Positive solutions to generalized Dickman equation. Zbl 1409.34061 Diblík, Josef 1 2018 Positive solutions of nonlinear delayed differential equations with impulses. Zbl 1373.34120 Diblík, Josef 9 2017 On the position of chaotic trajectories. Zbl 1403.34036 Calamai, A.; Diblík, J.; Franca, M.; Pospíšil, M. 2 2017 Two classes of asymptotically different positive solutions to advanced differential equations via two different fixed-point principles. Zbl 1365.34128 Diblík, Josef; Kúdelčíková, Mária 2 2017 Integral criteria for the existence of positive solutions of first-order linear differential advanced-argument equations. Zbl 1351.34075 Diblík, Josef 2 2017 Conditional stability and asymptotic behavior of solutions of weakly delayed linear discrete systems in \(\mathbb{R}^2\). Zbl 1373.39011 Diblík, Josef; Halfarová, Hana; Šafařík, Jan 1 2017 Exponential stability of linear discrete systems with variable delays via Lyapunov second method. Zbl 1396.39016 Diblík, Josef 1 2017 Exponential stability of linear discrete systems with constant coefficients and single delay. Zbl 1330.39019 Diblík, J.; Khusainov, D. Ya.; Baštinec, J.; Sirenko, A. S. 33 2016 On a fifth-order difference equation. Zbl 1339.39016 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 2 2016 A generalized Picard-Lindelöf theorem. Zbl 1363.34034 Siegmund, Stefan; Nowak, Christine; Diblik, Josef 2 2016 Criteria for the existence of positive solutions to delayed functional differential equations. Zbl 1389.34216 Diblik, Josef 1 2016 New exponential stability conditions for linear delayed systems of differential equations. Zbl 1389.34227 Berezansky, Leonid; Diblik, Josef; Svoboda, Zdenek; Smarda, Zdenek 1 2016 Explicit integral criteria for the existence of positive solutions of first order linear delay equations. Zbl 1363.34208 Chatzarakis, George; Diblik, Josef; Stavroulakis, Ioannis 1 2016 Nonexistence of periodic solutions and \( S\)-asymptotically periodic solutions in fractional difference equations. Zbl 1338.39026 Diblík, J.; Fečkan, M.; Pospíšil, M. 15 2015 Simple uniform exponential stability conditions for a system of linear delay differential equations. Zbl 1328.34066 Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 10 2015 Stability and exponential stability of linear discrete systems with constant coefficients and single delay. Zbl 1410.39027 Diblík, J.; Khusainov, D. Ya.; Baštinec, J.; Sirenko, A. S. 7 2015 Bounded and unbounded non-oscillatory solutions of a four-dimensional nonlinear neutral difference system. Zbl 1422.39007 Diblík, Josef; Łupińska, Barbara; Ružičková, Miroslava; Zonenberg, Joanna 2 2015 Explicit integral criteria for the existence of positive solutions of the linear delayed equation \(\dot{x}(t) = -c(t) x(t -\tau(t))\). Zbl 1325.34076 Diblík, J. 1 2015 Dynamics of generalized PT-symmetric dimers with time-periodic gain-loss. Zbl 1347.35213 Battelli, F.; Diblík, J.; Fečkan, M.; Pickton, J.; Pospíšil, M.; Susanto, H. 1 2015 On the new control functions for linear discrete delay systems. Zbl 1295.93008 Diblík, J.; Fečkan, M.; Pospíšil, M. 34 2014 On a solvable system of rational difference equations. Zbl 1298.39013 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 34 2014 Solvability of nonlinear difference equations of fourth order. Zbl 1314.39013 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 22 2014 Representation of the solutions of linear discrete systems with constant coefficients and two delays. Zbl 1463.39002 Diblík, Josef; Morávková, Blanka 21 2014 On a delay population model with a quadratic nonlinearity without positive steady state. Zbl 1365.92087 Baštinec, Jaromír; Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk 12 2014 Classification of neutral difference equations of any order with respect to the asymptotic behavior of their solutions. Zbl 1364.39019 Chatzarakis, G. E.; Diblík, J.; Miliaras, G. N.; Stavroulakis, I. P. 8 2014 Travelling waves in nonlinear magnetic metamaterials. Zbl 1327.82096 Diblík, J.; Fečkan, M.; Pospíšil, M.; Rothos, V. M.; Susanto, H. 7 2014 An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation. Zbl 1308.34079 Diblík, Josef; Janglajew, Klara; Kúdelčiková, Mária 6 2014 A note on explicit criteria for the existence of positive solutions to the linear advanced equation \(\dot{x}(t) = c(t) x(t + \tau)\). Zbl 1322.34072 Diblík, J. 5 2014 A general Lipschitz uniqueness criterion for scalar ordinary differential equations. Zbl 1324.34023 Diblik, Josef; Nowak, Christine; Siegmund, Stefan 4 2014 On periodic and solutions converging to zero of some systems of differential-difference equations. Zbl 1364.34098 Stević, Stevo; Diblík, Josef; Šmarda, Zdeněk 3 2014 New explicit integral criteria for the existence of positive solutions to the linear advanced equation \({\dot{y}(t) = c(t) y(t + \tau)}\). Zbl 1322.34073 Diblík, Josef; Kúdelčíková, Mária 3 2014 General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions. Zbl 1468.39002 Diblík, Josef; Halfarová, Hana 3 2014 Note on the existence of periodic solutions of a class of systems of differential-difference equations. Zbl 1410.34198 Diblík, Josef; Iričanin, Bratislav; Stević, Stevo; Šmarda, Zdeněk 3 2014 Asymptotic behavior of solutions of systems of dynamic equations on time scales in a set whose boundary is a combination of strict egress and strict ingress points. Zbl 1334.34109 Diblík, Josef; Vítovec, Jiří 2 2014 Existence of unbounded solutions of a linear homogenous system of differential equations with two delays. Zbl 1308.34080 Diblík, Josef; Janglajew, Klara; Ružičková, Miroslava 1 2014 Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices. Zbl 1283.34057 Diblík, J.; Fečkan, M.; Pospíšil, M. 44 2013 Discrete matrix delayed exponential for two delays and its property. Zbl 1390.39003 Diblík, Josef; Morávková, Blanka 17 2013 Representation of a solution of the Cauchy problem for an oscillating system with multiple delays and pairwise permutable matrices. Zbl 1277.34093 Diblík, Josef; Fečkan, Michal; Pospíšil, Michal 10 2013 Explicit general solution of planar linear discrete systems with constant coefficients and weak delays. Zbl 1380.39002 Diblík, Josef; Halfarová, Hana 8 2013 Extension of the differential transformation method to nonlinear differential and integro-differential equations with proportional delays. Zbl 1380.34028 Šmarda, Zdeněk; Diblík, Josef; Khan, Yasir 6 2013 On some symmetric systems of difference equations. Zbl 1383.39020 Diblík, Josef; Iričanin, Bratislav; Stević, Stevo; Šmarda, Zdeněk 4 2013 Forced Fermi-Pasta-Ulam lattice maps. Zbl 1299.34232 Diblík, J.; Fečkan, M.; Pospíšil, M. 4 2013 Moment equations in modeling a stable foreign currency exchange market in conditions of uncertainty. Zbl 1294.91144 Diblík, Josef; Dzhalladova, Irada; Michalková, Mária; Růžičková, Miroslava 3 2013 Unbounded solutions of the equation \(\dot y(t)=\sum_{i=1}^n\beta_i(t)[y(t-\delta_i)-y(t-\tau_i)]\). Zbl 1329.34109 Diblík, Josef; Chupáč, Radoslav; Ružičková, Miroslava 3 2013 Lower and upper estimates of solutions to systems of delay dynamic equations on time scales. Zbl 1291.34161 Diblík, Josef; Vítovec, Jiří 2 2013 Modeling of applied problems by stochastic systems and their analysis using the moment equations. Zbl 1393.34066 Diblík, Josef; Dzhalladova, Irada; Michalková, Mária; Růžičová, Miroslava 2 2013 On some solvable difference equations and systems of difference equations. Zbl 1253.39001 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 51 2012 On a third-order system of difference equations with variable coefficients. Zbl 1242.39011 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 32 2012 On the existence of solutions of linear Volterra difference equations asymptotically equivalent to a given sequence. Zbl 1250.39002 Diblík, Josef; Schmeidel, Ewa 20 2012 On the difference equation \(x_{n+1} = x_nx_{n-k}/(x_{n-k+1}(a + bx_nx_{n-k}))\). Zbl 1246.39011 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 20 2012 On the difference equation \(x_n = a_nx_{n-k}/(b_n + c_nx_{n-1} \cdots x_{n-k})\). Zbl 1246.39012 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 14 2012 An efficient new perturbative Laplace method for space-time fractional telegraph equations. Zbl 1377.35269 Khan, Yasir; Diblík, Josef; Faraz, Naeem; Šmarda, Zdeněk 13 2012 On a delay population model with quadratic nonlinearity. Zbl 1377.34093 Berezansky, Leonid; Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk 12 2012 Stabilization of Lur’e-type nonlinear control systems by Lyapunov-Krasovskii functionals. Zbl 1377.34081 Shatyrko, Andrei; Diblík, Josef; Khusainov, Denys; Růžičková, Miroslava 12 2012 Asymptotic convergence of the solutions of a dynamic equation on discrete time scales. Zbl 1232.39006 Diblík, J.; Růžičková, M.; Šmarda, Z.; Šutá, Z. 10 2012 Asymptotic convergence of the solutions of a discrete equation with several delays. Zbl 1302.39011 Diblík, J.; Růžičková, M.; Šutá, Z. 10 2012 Solution of the first boundary-value problem for a system of autonomous second-order linear partial differential equations of parabolic type with a single delay. Zbl 1250.35117 Diblík, Josef; Khusainov, Denis; Kukharenko, Oleksandra; Svoboda, Zdeněk 8 2012 Two classes of positive solutions of first order functional differential equations of delayed type. Zbl 1263.34107 Diblík, J.; Kúdelčíková, M. 6 2012 Bounded solutions of delay dynamic equations on time scales. Zbl 1377.34110 Diblík, Josef; Vítovec, Jiří 4 2012 Asymptotic convergence of the solutions of a discrete system with delays. Zbl 1311.39021 Diblík, J.; Ružičková, M.; Šutá, Z. 4 2012 On a periodic system of difference equations. Zbl 1246.39013 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 3 2012 Asymptotic upper and lower estimates of a class of positive solutions of a discrete linear equation with a single delay. Zbl 1242.39001 Diblík, J.; Hlavičková, I. 3 2012 Initial functions defining dominant positive solutions of a linear differential equation with delay. Zbl 1377.34083 Diblík, Josef; Kúdelčíková, Mária 3 2012 The stability of nonlinear differential systems with random parameters. Zbl 1251.93133 Diblík, Josef; Dzhalladova, Irada; Růžičková, Miroslava 2 2012 Representation of the solution for linear system of delay equations with distributed parameters. Zbl 1305.35014 Diblik, J.; Khusainov, D.; Kukharenko, O. 2 2012 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. Zbl 1223.39008 Baštinec, J.; Berezansky, L.; Diblík, J.; Šmarda, Z. 18 2011 Boundary-value problems for weakly nonlinear delay differential systems. Zbl 1222.34075 Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 16 2011 Asymptotic convergence of the solutions of a discrete equation with two delays in the critical case. Zbl 1220.39004 Berezansky, L.; Diblík, J.; Růžičková, M.; Šutá, Z. 13 2011 Weighted asymptotically periodic solutions of linear Volterra difference equations. Zbl 1220.39016 Diblík, Josef; Růžičková, Miroslava; Schmeidel, Ewa; Zbąszyniak, Małgorzata 9 2011 Estimates of exponential stability for solutions of stochastic control systems with delay. Zbl 1217.93150 Dzhalladova, Irada A.; Baštinec, Jaromír; Diblík, Josef; Khusainov, Denys Y. 9 2011 Existence and asymptotic behavior of positive solutions of functional differential equations of delayed type. Zbl 1210.34106 Diblík, J.; Kúdelčíková, M. 8 2011 An explicit criterion for the existence of positive solutions of the linear delayed equation \(\dot{x}(t)= -c(t)x(t - \tau (t))\). Zbl 1243.34099 Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk 5 2011 Instable trivial solution of autonomous differential systems with quadratic right-hand sides in a cone. Zbl 1211.34066 Khusainov, D. Ya.; Diblík, J.; Svoboda, Z.; Šmarda, Z. 4 2011 ...and 100 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 645 Authors 122 Diblík, Josef 76 Stević, Stevo 49 Šmarda, Zdeněk 40 Wang, Jinrong 27 Fečkan, Michal 25 Berezansky, Leonid M. 25 Růžičková, Miroslava 22 Iričanin, Bratislav D. 17 Khusainov, Denis Ya. 17 Pospíšil, Michal 16 Baštinec, Jaromír 16 Svoboda, Zdeněk 12 Braverman, Elena 12 Čermák, Jan 10 Boĭchuk, Oleksandr Andriĭovych 10 Kosmala, Witold A. J. 10 Mahmudov, Nazim Idrisoglu 10 Migda, Małgorzata 10 Schmeidel, Ewa L. 9 Migda, Janusz 9 Yazlik, Yasin 8 Kúdelčíková, Mária 8 O’Regan, Donal 7 Kara, Merve 7 Medina, Rigoberto 7 Olach, Rudolf 7 Pituk, Mihály 7 Stamova, Ivanka Milkova 7 Susanto, Hadi 6 Dorociaková, Božena 6 Efimov, Denis V. 6 Idels, Lev V. 6 Li, Mengmeng 6 Luo, Zijian 6 Santra, Shyam Sundar 6 Stamov, Gani Trendafilov 6 You, Zhongli 5 Gyori, Istvan 5 Halfarová, Hana 5 Rebenda, Josef 5 Rothos, Vassilis M. 5 Stavroulakis, Ioannis P. 5 Šutá, Zuzana 5 Tollu, Durhasan Turgut 4 Agarwal, Ravi P. 4 Appleby, John A. D. 4 Bereketoglu, Huseyin 4 Chatzarakis, George E. 4 Danca, Marius-Florin 4 Demidenko, Gennadiĭ Vladimirovich 4 Ghezal, Ahmed 4 Jin, Xianghua 4 Kipnis, Mikhail Markovich 4 Liang, Chengbin 4 Matveeva, Inessa Izotovna 4 Medveď, Milan 4 Papaschinopoulos, Garyfalos 4 Pinelas, Sandra 4 Rodkina, Alexandra 4 Shen, Dong 4 Tunç, Osman 4 Vítovec, Jiří 3 Agaoglou, Makrina 3 Aleksandrov, Aleksandr Yur’evich 3 Alghamdi, Mohammed Ali 3 Băleanu, Dumitru I. 3 Baranovska, Lesia V. 3 Bohner, Martin J. 3 Chupáč, Radoslav 3 Domoshnitsky, Alexander I. 3 Dong, Qixiang 3 Dong, Yali 3 Faria, Teresa 3 Folly-Gbetoula, Mensah K. 3 Galewski, Marek 3 Han, Zhenlai 3 Huseynov, Ismail T. 3 Kalas, Josef 3 Kang, Shin Min 3 Khan, Yasir 3 Koksch, Norbert J. 3 Langerová, Martina 3 Li, Gang 3 Li, Tongxing 3 Liao, Fucheng 3 Liu, Li 3 Liu, Zeqing 3 Malygina, Vera Vladimirovna 3 Miliaras, George Nickolaos 3 Nesterov, Pavel Nikolaevich 3 Nockowska-Rosiak, Magdalena 3 Perruquetti, Wilfrid 3 Psarros, Nikolaos 3 Rajchakit, Grienggrai 3 Rajchakit, Manlika 3 Šafařík, Jan 3 Sathiyaraj, T. 3 Sirenko, Andrii S. 3 Tripathy, Arun Kumar 3 Tunç, Cemil ...and 545 more Authors all top 5 Cited in 135 Serials 98 Advances in Difference Equations 78 Applied Mathematics and Computation 51 Abstract and Applied Analysis 30 Applied Mathematics Letters 21 Journal of Mathematical Analysis and Applications 19 Nonlinear Analysis. 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