Edit Profile (opens in new tab) Diblík, Josef Compute Distance To: Compute 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: 261 Publications since 1982 6 Contributions as Editor Reviewing Activity: 257 Reviews Co-Authors: 92 Co-Authors with 201 Joint Publications 2,105 Co-Co-Authors all top 5 Co-Authors 66 single-authored 51 Růžičková, Miroslava 44 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 Hlavičková, Irena 5 Šutá, Zuzana 4 Benditkis, D. B. 4 Halfarová, Hana 4 Nowak, Christine 4 Růžičková, Irena 3 Boĭchuk, Oleksandr Andriĭovych 3 Chupáč, Radoslav 3 Koksch, Norbert J. 3 Lukachova, J. 3 Sirenko, Andrii S. 3 Václavíková, Barbora 3 Vítovec, Jiří 2 Chatzarakis, George E. 2 Demchenko, Hanna 2 Galewski, Marek 2 Janglajew, Klara R. 2 Khan, Yasir 2 Mamedova, Violeta G. 2 Medina, Rigoberto 2 Mencáková, Kristýna 2 Michalková, Mária 2 Morávková, Blanka 2 Rodkina, Alexandra 2 Šafařík, Jan 2 Siegmund, Stefan 2 Stavroulakis, Ioannis P. 2 Vážanová, G. 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 Korobko, Evgeniya 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 Parasyuk, Igor O. 1 Perestyuk, Mykola Oleksiĭovych 1 Pickton, J. 1 Pinelas, Sandra 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 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 Advances in Difference Equations 19 Applied Mathematics and Computation 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 10 Applied Mathematics Letters 8 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 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 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 Spisů Vysokého Učení Technického v Brně. B 2 Nonlinear Oscillations 2 Advances in Nonlinear Analysis 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 Automatica 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 178 Ordinary differential equations (34-XX) 89 Difference and functional equations (39-XX) 20 Systems theory; control (93-XX) 11 Partial differential equations (35-XX) 6 Real functions (26-XX) 6 Operator theory (47-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 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 194 Publications have been cited 1,492 times in 556 Documents Cited by ▼ Year ▼ On some solvable difference equations and systems of difference equations. Zbl 1253.39001Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 46 2012 Controllability of linear discrete systems with constant coefficients and pure delay. Zbl 1161.93004Diblík, Josef; Khusainov, Denys Ya.; Růžičková, M. 44 2008 Representation of solutions of discrete delayed system \(x(k+1)=Ax(k)+Bx(k-m)+f(k)\) with commutative matrices. Zbl 1094.39002Diblík, J.; Khusainov, D. Ya. 43 2006 Fredholm’s boundary-value problems for differential systems with a single delay. Zbl 1190.34073Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 37 2010 Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices. Zbl 1283.34057Diblík, J.; Fečkan, M.; Pospíšil, M. 36 2013 Representation of a solution of the Cauchy problem for an oscillating system with pure delay. Zbl 1276.34055Khusainov, D. Ya.; Diblík, J.; Růžičková, M.; Lukáčová, J. 32 2008 Exponential stability of linear discrete systems with constant coefficients and single delay. Zbl 1330.39019Diblík, J.; Khusainov, D. Ya.; Baštinec, J.; Sirenko, A. S. 31 2016 Representation of solutions of linear discrete systems with constant coefficients and pure delay. Zbl 1139.39027Diblík, J.; Khusainov, D. Ya. 30 2006 On the new control functions for linear discrete delay systems. Zbl 1295.93008Diblík, J.; Fečkan, M.; Pospíšil, M. 30 2014 On a solvable system of rational difference equations. Zbl 1298.39013Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 29 2014 Asymptotic representation of solutions of the equation \(\dot y(t)=\beta(t)[y(t)-y(t-\tau(t))]\). Zbl 0892.34067Diblík, Josef 29 1998 A criterion for existence of positive solutions of systems of retarded functional differential equations. Zbl 0935.34061Diblík, Josef 28 1999 Positive solutions of the equation \(\dot x(t)=-c(t)x(t-\tau)\) in the critical case. Zbl 0968.34057Diblík, J.; Koksch, N. 23 2000 Existence of positive solutions of discrete linear equations with a single delay. Zbl 1207.39014Baštinec, J.; Diblík, J.; Šmarda, Z. 21 2010 Asymptotically periodic solutions of Volterra system of difference equations. Zbl 1202.39013Diblík, Josef; Schmeidel, Ewa; Růžičková, Miroslava 21 2010 On a third-order system of difference equations with variable coefficients. Zbl 1242.39011Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 20 2012 On the existence of solutions of linear Volterra difference equations asymptotically equivalent to a given sequence. Zbl 1250.39002Diblík, Josef; Schmeidel, Ewa 19 2012 Control of oscillating systems with a single delay. Zbl 1184.93015Diblík, J.; Khusainov, D. Ya.; Lukáčová, J.; Růžičková, M. 19 2010 Exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefficients. Zbl 1214.34059Baštinec, J.; Diblík, J.; Khusainov, D. Ya.; Ryvolová, A. 18 2010 Solvability of nonlinear difference equations of fourth order. Zbl 1314.39013Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 17 2014 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 1223.39008Baštinec, J.; Berezansky, L.; Diblík, J.; Šmarda, Z. 17 2011 Positive and oscillating solutions of differential equations with delay in critical case. Zbl 0898.34062Diblik, Josef 17 1998 Discrete retract principle for systems of discrete equations. Zbl 0999.39005Diblík, J. 16 2001 Existence of asymptotically periodic solutions of system of Volterra difference equations. Zbl 1180.39022Diblík, Josef; Schmeidel, Ewa; Růžičková, Miroslava 16 2009 Boundary-value problems for weakly nonlinear delay differential systems. Zbl 1222.34075Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 16 2011 On the critical case in oscillation for differential equations with a single delay and with several delays. Zbl 1209.34080Baštinec, Jaromír; Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk 16 2010 On the difference equation \(x_{n+1} = x_nx_{n-k}/(x_{n-k+1}(a + bx_nx_{n-k}))\). Zbl 1246.39011Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 15 2012 Positive solutions of \(p\)-type retarded functional differential equations. Zbl 1109.34058Diblík, Josef; Svoboda, Zdeněk 15 2006 Representation of the solutions of linear discrete systems with constant coefficients and two delays. Zbl 1463.39002Diblík, Josef; Morávková, Blanka 14 2014 On the difference equation \(x_n = a_nx_{n-k}/(b_n + c_nx_{n-1} \cdots x_{n-k})\). Zbl 1246.39012Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 14 2012 Discrete matrix delayed exponential for two delays and its property. Zbl 1390.39003Diblík, Josef; Morávková, Blanka 14 2013 Convergence of the solutions of the equation \(\dot y(t) = \beta(t)[y(t-\delta)-y(t-\tau)]\) in the critical case. Zbl 1125.34059Diblík, Josef; Ružičková, Miroslava 14 2007 Exponential solutions of equation \(\dot y(t)=\beta(t)[y(t-\delta)-y(t-\tau)]\). Zbl 1058.34099Diblík, Josef; Růžičková, Miroslava 14 2004 Anti-Lyapunov method for systems of discrete equations. Zbl 1065.39008Diblík, Josef 14 2004 Asymptotic convergence of the solutions of a discrete equation with two delays in the critical case. Zbl 1220.39004Berezansky, L.; Diblík, J.; Růžičková, M.; Šutá, Z. 13 2011 Asymptotic convergence criteria of solutions of delayed functional differential equations. Zbl 1025.34062Diblík, Josef 12 2002 On a delay population model with quadratic nonlinearity. Zbl 1377.34093Berezansky, Leonid; Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk 12 2012 Stabilization of Lur’e-type nonlinear control systems by Lyapunov-Krasovskii functionals. Zbl 1377.34081Shatyrko, Andrei; Diblík, Josef; Khusainov, Denys; Růžičková, Miroslava 12 2012 On a delay population model with a quadratic nonlinearity without positive steady state. Zbl 1365.92087Baštinec, Jaromír; Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk 12 2014 Retract principle for neutral functional differential equations. Zbl 1238.34143Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 12 2009 On conditional stability of the solutions of the systems of differential equations, not solved with respect to the derivatives. Zbl 0672.34044Diblik, Josef 12 1985 Nonexistence of periodic solutions and \( S\)-asymptotically periodic solutions in fractional difference equations. Zbl 1338.39026Diblík, J.; Fečkan, M.; Pospíšil, M. 11 2015 Existence of positive solutions of a singular initial problem for a nonlinear system of differential equations. Zbl 1080.34001Diblík, Josef; Růžičková, Miroslava 11 2004 Ważewski’s method for systems of dynamic equations on time scales. Zbl 1238.34156Diblík, Josef; Růžičková, Miroslava; Šmarda, Zdeněk 11 2009 Boundary value problems for delay differential systems. Zbl 1204.34087Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 11 2010 Subdominant positive solutions of the discrete equation \(\Delta u(k+n)=-p(k)u(k)\). Zbl 1078.39004Baštinec, Jaromír; Diblík, Josef 11 2004 Asymptotic convergence of the solutions of a dynamic equation on discrete time scales. Zbl 1232.39006Diblík, J.; Růžičková, M.; Šmarda, Z.; Šutá, Z. 10 2012 An efficient new perturbative Laplace method for space-time fractional telegraph equations. Zbl 1377.35269Khan, Yasir; Diblík, Josef; Faraz, Naeem; Šmarda, Zdeněk 10 2012 Asymptotic behavior of solutions and positive solutions of differential delayed equations. Zbl 1129.34050Diblík, J.; Růžičková, M. 10 2007 Explicit criteria for the existence of positive solutions for a scalar differential equation with variable delay in the critical case. Zbl 1155.34337Diblík, 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 1169.34050Diblík, Josef; Kúdelčíková, Mária 10 2009 Simple uniform exponential stability conditions for a system of linear delay differential equations. Zbl 1328.34066Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 10 2015 Behaviour of solutions to linear differential equations with delay. Zbl 0914.34065Diblík, Josef 10 1998 Asymptotic equilibrium for homogeneous delay linear differential equations with \(L\)-perturbation term. Zbl 0896.34065Diblík, Josef 10 1997 Asymptotic convergence of the solutions of a discrete equation with several delays. Zbl 1302.39011Diblík, J.; Růžičková, M.; Šutá, Z. 10 2012 Stability of nonlinear autonomous quadratic discrete systems in the critical case. Zbl 1200.39005Diblík, Josef; Khusainov, Denys Ya.; Grytsay, Irina V.; Šmarda, Zdenĕk 10 2010 Existence of asymptotically periodic solutions of scalar Volterra difference equations. Zbl 1212.39020Diblík, Josef; Růžičková, Miroslava; Schmeidel, Ewa 9 2009 Estimates of exponential stability for solutions of stochastic control systems with delay. Zbl 1217.93150Dzhalladova, Irada A.; Baštinec, Jaromír; Diblík, Josef; Khusainov, Denys Y. 9 2011 Representation of a solution of the Cauchy problem for an oscillating system with multiple delays and pairwise permutable matrices. Zbl 1277.34093Diblík, Josef; Fečkan, Michal; Pospíšil, Michal 9 2013 On solutions of a singular system of differential equations not in explicit form with respect to the derivatives. Zbl 0591.34003Diblík, Josef 9 1984 Positive solutions of second-order delay differential equations with a damping term. Zbl 1201.34095Berezansky, Leonid; Diblík, Josef; Šmarda, Zdeněk 8 2010 Existence and asymptotic behavior of positive solutions of functional differential equations of delayed type. Zbl 1210.34106Diblík, J.; Kúdelčíková, M. 8 2011 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 1250.35117Diblík, Josef; Khusainov, Denis; Kukharenko, Oleksandra; Svoboda, Zdeněk 8 2012 Remark on positive solutions of discrete equation \(\Delta u(k+n)=-p(k)u(k)\). Zbl 1224.39002Baštinec, Jaromír; Diblík, Josef 8 2005 Combination of Liapunov and retract methods in the investigation of the asymptotic behavior of solutions of systems of discrete equations. Zbl 1183.39002Diblík, Josef; Hlavičková, Irena 8 2009 Weak delay in systems with an aftereffect. Zbl 1048.34104Khusainov, D. Ya.; Benditkis, D. B.; Diblik, J. 8 2002 An existence criterion of positive solutions of \(p\)-type retarded functional differential equations. Zbl 1019.34072Diblík, Josef; Svoboda, Zdeněk 8 2002 On the existence of solutions of the singular Cauchy problem for systems of differential equations not solved with respect to the derivatives. Zbl 0583.34005Diblík, Jozef 8 1985 Oscillation of solutions of a linear second-order discrete-delayed equation. Zbl 1200.39002Baštinec, J.; Diblík, J.; Šmarda, Z. 8 2010 Explicit general solution of planar linear discrete systems with constant coefficients and weak delays. Zbl 1380.39002Diblík, Josef; Halfarová, Hana 7 2013 Classification of neutral difference equations of any order with respect to the asymptotic behavior of their solutions. Zbl 1364.39019Chatzarakis, G. E.; Diblík, J.; Miliaras, G. N.; Stavroulakis, I. P. 7 2014 Positive solutions of nonlinear delayed differential equations with impulses. Zbl 1373.34120Diblík, Josef 7 2017 Sufficient conditions for the existence of global solutions of delayed differential equations. Zbl 1102.34048Diblík, J.; Koksch, N. 7 2006 A nonuniqueness criterion for a singular system of two ordinary differential equations. Zbl 1111.34007Diblík, Josef; Nowak, Christine 7 2006 Asymptotic behaviour of solutions of systems of discrete equations via Liapunov type technique. Zbl 1058.39001Diblík, J. 7 2003 Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay. Zbl 1167.39001Diblík, J.; Khusainov, D. Ya.; Šmarda, Z. 7 2009 Weighted asymptotically periodic solutions of linear Volterra difference equations. Zbl 1220.39016Diblík, Josef; Růžičková, Miroslava; Schmeidel, Ewa; Zbąszyniak, Małgorzata 7 2011 Bounded solutions of nonlinear discrete equations. Zbl 1105.39005Diblík, Josef; Migda, Małgorzata; Schmeidel, Ewa 7 2006 Stability and exponential stability of linear discrete systems with constant coefficients and single delay. Zbl 1410.39027Diblík, J.; Khusainov, D. Ya.; Baštinec, J.; Sirenko, A. S. 6 2015 Existence of global solutions of delayed differential equations via retract approach. Zbl 1101.34046Diblík, J.; Koksch, N. 6 2006 Subdominant positive solutions of the discrete equation \(\Delta u(k+n)= -p(k)u(k)\). Zbl 1101.39003Baštinec, Jaromír; Diblík, Josef 6 2004 Positive solutions of retarded functional differential equations. Zbl 1224.34249Diblík, Josef; Svoboda, Zdeněk 6 2005 Asymptotic behavior of solutions of discrete equations. Zbl 1060.39004Diblík, J. 6 2004 Existence of bounded solutions of discrete delayed equations. Zbl 1065.39006Baštinec, Jaromír; Diblík, Josef; Zhang, Binggen 6 2004 Relative and trajectory controllability of linear discrete systems with constant coefficients and a single delay. Zbl 1482.93073Diblík, Josef 6 2019 Asymptotical convergence of the solutions of a linear differential equation with delays. Zbl 1203.34122Diblík, Josef; Růžičková, Miroslava; Šutá, Zuzana 6 2010 Two classes of positive solutions of first order functional differential equations of delayed type. Zbl 1263.34107Diblík, J.; Kúdelčíková, M. 5 2012 Retract principle for difference equations. Zbl 0988.39013Diblík, J. 5 2000 A criterion of asymptotic convergence for a class of nonlinear differential equations with delay. Zbl 1042.34580Diblík, J. 5 2001 Nonoscillating solutions of the equation \(\dot x(t)= -(a+ \frac{b}{t}) x(t-\tau)\). Zbl 1064.34044Diblík, Josef; Kúdelčíková, Mária 5 2002 On the existence of 0-curves of a singular system of differential equations. Zbl 0584.34022Diblik, J. 5 1985 Long-time behaviour of solutions of delayed-type linear differential equations. Zbl 1413.34210Diblik, Josef 5 2018 Travelling waves in nonlinear magnetic metamaterials. Zbl 1327.82096Diblík, J.; Fečkan, M.; Pospíšil, M.; Rothos, V. M.; Susanto, H. 5 2014 An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation. Zbl 1308.34079Diblík, Josef; Janglajew, Klara; Kúdelčiková, Mária 5 2014 An explicit criterion for the existence of positive solutions of the linear delayed equation \(\dot{x}(t)= -c(t)x(t - \tau (t))\). Zbl 1243.34099Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk 5 2011 Uniform exponential stability of linear delayed integro-differential vector equations. Zbl 1464.45021Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 4 2021 Exponential stability tests for linear delayed differential systems depending on all delays. Zbl 1429.34074Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 4 2019 Existence of bounded solutions of retarded functional differential equations. Zbl 0985.34060Diblík, Josef 4 2001 Asymptotic behaviour of solutions of linear differential equations with delay. Zbl 0784.34053Diblík, Josef 4 1993 Instable trivial solution of autonomous differential systems with quadratic right-hand sides in a cone. Zbl 1211.34066Khusainov, D. Ya.; Diblík, J.; Svoboda, Z.; Šmarda, Z. 4 2011 Simple tests for uniform exponential stability of a linear delayed vector differential equation. Zbl 07560664Berezansky, 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 07493788Diblík, J.; Vážanová, G. 1 2022 Uniform exponential stability of linear delayed integro-differential vector equations. Zbl 1464.45021Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 4 2021 A note on relative controllability of higher order linear delayed discrete systems. Zbl 07320121Diblík, Josef; Mencáková, Kristýna 4 2020 Representation of solutions to delayed linear discrete systems with constant coefficients and with second-order differences. Zbl 1436.39003Diblík, Josef; Mencáková, Kristýna 4 2020 On local stability of stochastic delay nonlinear discrete systems with state-dependent noise. Zbl 1433.39006Diblík, J.; Rodkina, A.; Šmarda, Z. 1 2020 Existence of global solutions to nonlinear mixed-type functional differential equations. Zbl 1470.34164Diblík, J.; Vážanová, G. 1 2020 Long-time behavior of positive solutions of a differential equation with state-dependent delay. Zbl 1497.34107Diblík, Josef 1 2020 Existence of strictly decreasing positive solutions of linear differential equations of neutral type. Zbl 1446.34076Diblík, Josef; Svoboda, Zdeněk 1 2020 Relative and trajectory controllability of linear discrete systems with constant coefficients and a single delay. Zbl 1482.93073Diblík, Josef 6 2019 Exponential stability tests for linear delayed differential systems depending on all delays. Zbl 1429.34074Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 4 2019 Positive solutions to delayed differential equations of the second-order. Zbl 1412.34216Diblík, Josef; Kúdelčíková, Mária; Ružičková, Miroslava 2 2019 Formulas for the general solution of weakly delayed planar linear discrete systems with constant coefficients and their analysis. Zbl 1428.39003Diblík, J.; Halfarová, H.; Šafařík, J. 1 2019 Optimal stabilization for differential systems with delays – Malkin’s approach. Zbl 1414.93160Demchenko, Hanna; Diblík, J.; Khusainov, D. Ya. 1 2019 Long-time behaviour of solutions of delayed-type linear differential equations. Zbl 1413.34210Diblik, Josef 5 2018 Exponential stability of linear delayed differential systems. Zbl 1426.34094Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 4 2018 Exact asymptotics of positive solutions to Dickman equation. Zbl 1374.34243Diblík, Josef; Medina, Rigoberto 3 2018 Dominant and subdominant positive solutions to generalized dickman equation. Zbl 1427.34087Diblík, Josef; Medina, Rigoberto 1 2018 Exponential stability of linear discrete systems with multiple delays. Zbl 1417.39055Baštinec, J.; Demchenko, H.; Diblík, J.; Khusainov, D. Ya. 1 2018 Positive solutions to generalized Dickman equation. Zbl 1409.34061Diblík, Josef 1 2018 An application of a diffeomorphism theorem to Volterra integral operator. Zbl 1463.45056Diblík, Josef; Galewski, Marek; Koniorczyk, Marcin; Schmeidel, Ewa 1 2018 Asymptotic properties of delayed matrix exponential functions via Lambert function. Zbl 1374.34244Diblík, Josef; Svoboda, Zdeněk 1 2018 Positive solutions of nonlinear delayed differential equations with impulses. Zbl 1373.34120Diblík, Josef 7 2017 On the position of chaotic trajectories. Zbl 1403.34036Calamai, 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 1365.34128Diblík, Josef; Kúdelčíková, Mária 2 2017 Integral criteria for the existence of positive solutions of first-order linear differential advanced-argument equations. Zbl 1351.34075Diblík, Josef 1 2017 Conditional stability and asymptotic behavior of solutions of weakly delayed linear discrete systems in \(\mathbb{R}^2\). Zbl 1373.39011Diblík, Josef; Halfarová, Hana; Šafařík, Jan 1 2017 Exponential stability of linear discrete systems with variable delays via Lyapunov second method. Zbl 1396.39016Diblík, Josef 1 2017 Exponential stability of linear discrete systems with constant coefficients and single delay. Zbl 1330.39019Diblík, J.; Khusainov, D. Ya.; Baštinec, J.; Sirenko, A. S. 31 2016 On a fifth-order difference equation. Zbl 1339.39016Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 2 2016 A generalized Picard-Lindelöf theorem. Zbl 1363.34034Siegmund, Stefan; Nowak, Christine; Diblik, Josef 1 2016 Explicit integral criteria for the existence of positive solutions of first order linear delay equations. Zbl 1363.34208Chatzarakis, George; Diblik, Josef; Stavroulakis, Ioannis 1 2016 Criteria for the existence of positive solutions to delayed functional differential equations. Zbl 1389.34216Diblik, Josef 1 2016 New exponential stability conditions for linear delayed systems of differential equations. Zbl 1389.34227Berezansky, Leonid; Diblik, Josef; Svoboda, Zdenek; Smarda, Zdenek 1 2016 Nonexistence of periodic solutions and \( S\)-asymptotically periodic solutions in fractional difference equations. Zbl 1338.39026Diblík, J.; Fečkan, M.; Pospíšil, M. 11 2015 Simple uniform exponential stability conditions for a system of linear delay differential equations. Zbl 1328.34066Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk 10 2015 Stability and exponential stability of linear discrete systems with constant coefficients and single delay. Zbl 1410.39027Diblík, J.; Khusainov, D. Ya.; Baštinec, J.; Sirenko, A. S. 6 2015 Bounded and unbounded non-oscillatory solutions of a four-dimensional nonlinear neutral difference system. Zbl 1422.39007Diblík, Josef; Łupińska, Barbara; Ružičková, Miroslava; Zonenberg, Joanna 1 2015 Dynamics of generalized PT-symmetric dimers with time-periodic gain-loss. Zbl 1347.35213Battelli, F.; Diblík, J.; Fečkan, M.; Pickton, J.; Pospíšil, M.; Susanto, H. 1 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 1325.34076Diblík, J. 1 2015 On the new control functions for linear discrete delay systems. Zbl 1295.93008Diblík, J.; Fečkan, M.; Pospíšil, M. 30 2014 On a solvable system of rational difference equations. Zbl 1298.39013Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 29 2014 Solvability of nonlinear difference equations of fourth order. Zbl 1314.39013Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 17 2014 Representation of the solutions of linear discrete systems with constant coefficients and two delays. Zbl 1463.39002Diblík, Josef; Morávková, Blanka 14 2014 On a delay population model with a quadratic nonlinearity without positive steady state. Zbl 1365.92087Baštinec, 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 1364.39019Chatzarakis, G. E.; Diblík, J.; Miliaras, G. N.; Stavroulakis, I. P. 7 2014 Travelling waves in nonlinear magnetic metamaterials. Zbl 1327.82096Diblík, J.; Fečkan, M.; Pospíšil, M.; Rothos, V. M.; Susanto, H. 5 2014 An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation. Zbl 1308.34079Diblík, Josef; Janglajew, Klara; Kúdelčiková, Mária 5 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 1322.34072Diblík, J. 4 2014 Note on the existence of periodic solutions of a class of systems of differential-difference equations. Zbl 1410.34198Diblík, Josef; Iričanin, Bratislav; Stević, Stevo; 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 1322.34073Diblík, Josef; Kúdelčíková, Mária 3 2014 General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions. Zbl 1468.39002Diblík, Josef; Halfarová, Hana 2 2014 On periodic and solutions converging to zero of some systems of differential-difference equations. Zbl 1364.34098Stević, Stevo; Diblík, Josef; Šmarda, Zdeněk 2 2014 A general Lipschitz uniqueness criterion for scalar ordinary differential equations. Zbl 1324.34023Diblik, Josef; Nowak, Christine; Siegmund, Stefan 2 2014 Existence of unbounded solutions of a linear homogenous system of differential equations with two delays. Zbl 1308.34080Diblík, Josef; Janglajew, Klara; Ružičková, Miroslava 1 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 1334.34109Diblík, Josef; Vítovec, Jiří 1 2014 Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices. Zbl 1283.34057Diblík, J.; Fečkan, M.; Pospíšil, M. 36 2013 Discrete matrix delayed exponential for two delays and its property. Zbl 1390.39003Diblík, Josef; Morávková, Blanka 14 2013 Representation of a solution of the Cauchy problem for an oscillating system with multiple delays and pairwise permutable matrices. Zbl 1277.34093Diblík, Josef; Fečkan, Michal; Pospíšil, Michal 9 2013 Explicit general solution of planar linear discrete systems with constant coefficients and weak delays. Zbl 1380.39002Diblík, Josef; Halfarová, Hana 7 2013 On some symmetric systems of difference equations. Zbl 1383.39020Diblík, Josef; Iričanin, Bratislav; Stević, Stevo; Šmarda, Zdeněk 4 2013 Extension of the differential transformation method to nonlinear differential and integro-differential equations with proportional delays. Zbl 1380.34028Šmarda, Zdeněk; Diblík, Josef; Khan, Yasir 3 2013 Modeling of applied problems by stochastic systems and their analysis using the moment equations. Zbl 1393.34066Diblík, Josef; Dzhalladova, Irada; Michalková, Mária; Růžičová, Miroslava 2 2013 Forced Fermi-Pasta-Ulam lattice maps. Zbl 1299.34232Diblík, J.; Fečkan, M.; Pospíšil, M. 2 2013 Lower and upper estimates of solutions to systems of delay dynamic equations on time scales. Zbl 1291.34161Diblík, Josef; Vítovec, Jiří 2 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 1329.34109Diblík, Josef; Chupáč, Radoslav; Ružičková, Miroslava 2 2013 Moment equations in modeling a stable foreign currency exchange market in conditions of uncertainty. Zbl 1294.91144Diblík, Josef; Dzhalladova, Irada; Michalková, Mária; Růžičková, Miroslava 1 2013 On some solvable difference equations and systems of difference equations. Zbl 1253.39001Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 46 2012 On a third-order system of difference equations with variable coefficients. Zbl 1242.39011Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 20 2012 On the existence of solutions of linear Volterra difference equations asymptotically equivalent to a given sequence. Zbl 1250.39002Diblík, Josef; Schmeidel, Ewa 19 2012 On the difference equation \(x_{n+1} = x_nx_{n-k}/(x_{n-k+1}(a + bx_nx_{n-k}))\). Zbl 1246.39011Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 15 2012 On the difference equation \(x_n = a_nx_{n-k}/(b_n + c_nx_{n-1} \cdots x_{n-k})\). Zbl 1246.39012Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 14 2012 On a delay population model with quadratic nonlinearity. Zbl 1377.34093Berezansky, Leonid; Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk 12 2012 Stabilization of Lur’e-type nonlinear control systems by Lyapunov-Krasovskii functionals. Zbl 1377.34081Shatyrko, Andrei; Diblík, Josef; Khusainov, Denys; Růžičková, Miroslava 12 2012 Asymptotic convergence of the solutions of a dynamic equation on discrete time scales. Zbl 1232.39006Diblík, J.; Růžičková, M.; Šmarda, Z.; Šutá, Z. 10 2012 An efficient new perturbative Laplace method for space-time fractional telegraph equations. Zbl 1377.35269Khan, Yasir; Diblík, Josef; Faraz, Naeem; Šmarda, Zdeněk 10 2012 Asymptotic convergence of the solutions of a discrete equation with several delays. Zbl 1302.39011Diblík, 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 1250.35117Diblík, Josef; Khusainov, Denis; Kukharenko, Oleksandra; Svoboda, Zdeněk 8 2012 Two classes of positive solutions of first order functional differential equations of delayed type. Zbl 1263.34107Diblík, J.; Kúdelčíková, M. 5 2012 Bounded solutions of delay dynamic equations on time scales. Zbl 1377.34110Diblík, Josef; Vítovec, Jiří 4 2012 Asymptotic convergence of the solutions of a discrete system with delays. Zbl 1311.39021Diblík, J.; Ružičková, M.; Šutá, Z. 4 2012 Asymptotic upper and lower estimates of a class of positive solutions of a discrete linear equation with a single delay. Zbl 1242.39001Diblík, J.; Hlavičková, I. 3 2012 On a periodic system of difference equations. Zbl 1246.39013Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 3 2012 Initial functions defining dominant positive solutions of a linear differential equation with delay. Zbl 1377.34083Diblík, Josef; Kúdelčíková, Mária 3 2012 The stability of nonlinear differential systems with random parameters. Zbl 1251.93133Diblík, Josef; Dzhalladova, Irada; Růžičková, Miroslava 2 2012 Representation of the solution for linear system of delay equations with distributed parameters. Zbl 1305.35014Diblik, 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 1223.39008Baštinec, J.; Berezansky, L.; Diblík, J.; Šmarda, Z. 17 2011 Boundary-value problems for weakly nonlinear delay differential systems. Zbl 1222.34075Boichuk, 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 1220.39004Berezansky, L.; Diblík, J.; Růžičková, M.; Šutá, Z. 13 2011 Estimates of exponential stability for solutions of stochastic control systems with delay. Zbl 1217.93150Dzhalladova, 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 1210.34106Diblík, J.; Kúdelčíková, M. 8 2011 Weighted asymptotically periodic solutions of linear Volterra difference equations. Zbl 1220.39016Diblík, Josef; Růžičková, Miroslava; Schmeidel, Ewa; Zbąszyniak, Małgorzata 7 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 1243.34099Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk 5 2011 Instable trivial solution of autonomous differential systems with quadratic right-hand sides in a cone. Zbl 1211.34066Khusainov, D. Ya.; Diblík, J.; Svoboda, Z.; Šmarda, Z. 4 2011 Asymptotic behavior of solutions of delayed difference equations. Zbl 1217.39019Diblík, J.; Hlavičková, I. 4 2011 On stability of linear delay differential equations under Perron’s condition. Zbl 1217.34117Diblík, J.; Zafer, A. 2 2011 Fredholm’s boundary-value problems for differential systems with a single delay. Zbl 1190.34073Boichuk, A.; Diblík, J.; Khusainov, D.; Růžičková, M. 37 2010 Existence of positive solutions of discrete linear equations with a single delay. Zbl 1207.39014Baštinec, J.; Diblík, J.; Šmarda, Z. 21 2010 Asymptotically periodic solutions of Volterra system of difference equations. Zbl 1202.39013Diblík, Josef; Schmeidel, Ewa; Růžičková, Miroslava 21 2010 Control of oscillating systems with a single delay. Zbl 1184.93015Diblík, J.; Khusainov, D. Ya.; Lukáčová, J.; Růžičková, M. 19 2010 ...and 94 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 558 Authors 117 Diblík, Josef 71 Stević, Stevo 48 Šmarda, Zdeněk 32 Wang, Jinrong 24 Berezansky, Leonid M. 23 Růžičková, Miroslava 20 Iričanin, Bratislav D. 18 Fečkan, Michal 17 Khusainov, Denis Ya. 16 Baštinec, Jaromír 16 Svoboda, Zdeněk 13 Pospíšil, Michal 12 Čermák, Jan 11 Braverman, Elena 10 Boĭchuk, Oleksandr Andriĭovych 9 Kosmala, Witold A. J. 9 Migda, Małgorzata 9 Schmeidel, Ewa L. 8 Kúdelčíková, Mária 8 Mahmudov, Nazim Idrisoglu 8 Yazlik, Yasin 7 Medina, Rigoberto 7 Migda, Janusz 7 Olach, Rudolf 7 O’Regan, Donal 6 Dorociaková, Božena 6 Idels, Lev V. 6 Kara, Merve 6 Luo, Zijian 6 Pituk, Mihály 6 Stamova, Ivanka Milkova 6 You, Zhongli 5 Gyori, Istvan 5 Rebenda, Josef 5 Stamov, Gani Trendafilov 5 Šutá, Zuzana 4 Agarwal, Ravi P. 4 Appleby, John A. 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