Josef Diblík

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 26

Top Topics

Learning Processes

Dynamic Systems

Mathematical Model

Exponential Stability

Top Venues

Appl. Math. Comput.

Appl. Math. Lett.

IEEE Trans. Autom. Control.

J. Frankl. Inst.

Publications

Josef Diblík, Mihály Pituk, Gábor Szederkényi
Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients. Autom. 161 (2024)
Josef Diblík
Novel criterion for the existence of solutions with positive coordinates to a system of linear delayed differential equations with multiple delays. Appl. Math. Lett. 152 (2024)
Josef Diblík, Andriy Shatyrko, Denys Khusainov, Oleksii Bychkov
Structural-Schematic Approach in the Modelling of Dynamic Systems. IT&I (2023)
Josef Diblík, Hana Halfarová, Jan Safarík
Two-parameters formulas for general solution to planar weakly delayed linear discrete systems with multiple delays, equivalent non-delayed systems, and conditional stability. Appl. Math. Comput. 459 (2023)
Leonid Berezansky, Josef Diblík, Zdenek Svoboda, Zdenek Smarda
Exponential stability criteria for linear neutral systems with applications to neural networks of neutral type. J. Frankl. Inst. 360 (1) (2023)
Josef Diblík
Exponential stability of linear discrete systems with multiple delays by degenerated Lyapunov-Krasovskii functionals. Appl. Math. Lett. 142 (2023)
Jaromír Bastinec, Josef Diblík, S. Pinelas, J. Vala
Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations. Appl. Math. Comput. 425 (2022)
Leonid Berezansky, Josef Diblík, Zdenek Svoboda, Zdenek Smarda
Simple Tests for Uniform Exponential Stability of a Linear Delayed Vector Differential Equation. IEEE Trans. Autom. Control. 67 (3) (2022)
Josef Diblík, Marek Galewski
Existence of solutions in cones to delayed higher-order differential equations. Appl. Math. Lett. 130 (2022)
Andriy Shatyrko, Denys Khusainov, Oleksii Bychkov, Josef Diblík, Jaromír Bastinec
Construction and Optimization of Stability Conditions of Learning Processes in Mathematical Models of Neurodynamics. IT&I Workshops (2022)
Josef Diblík
Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions. Appl. Math. Lett. 119 (2021)
Josef Diblík, Alexandra Rodkina, Zdenek Smarda
On local stability of stochastic delay nonlinear discrete systems with state-dependent noise. Appl. Math. Comput. 374 (2020)
Josef Diblík, Kristýna Mencáková
Representation of solutions to delayed linear discrete systems with constant coefficients and with second-order differences. Appl. Math. Lett. 105 (2020)
Elena Braverman, Josef Diblík, Alexandra Rodkina, Zdenek Smarda
Stabilization of cycles for difference equations with a noisy PF control. Autom. 115 (2020)
Josef Diblík, Kristýna Mencáková
A Note on Relative Controllability of Higher Order Linear Delayed Discrete Systems. IEEE Trans. Autom. Control. 65 (12) (2020)
Josef Diblík, Irada Dzhalladova, Miroslava Ruzicková
A Dynamical System with Random Parameters as a Mathematical Model of Real Phenomena. Symmetry 11 (11) (2019)
Josef Diblík
Relative and Trajectory Controllability of Linear Discrete Systems With Constant Coefficients and a Single Delay. IEEE Trans. Autom. Control. 64 (5) (2019)
Josef Diblík, Hana Halfarová, Jan Safarík
Formulas for the general solution of weakly delayed planar linear discrete systems with constant coefficients and their analysis. Appl. Math. Comput. 358 (2019)
Josef Diblík, Mária Kúdelcíková, Miroslava Ruzicková
Positive solutions to delayed differential equations of the second-order. Appl. Math. Lett. 94 (2019)
Hanna Demchenko, Josef Diblík, Denys Ya. Khusainov
Optimal stabilization for differential systems with delays - Malkin's approach. J. Frankl. Inst. 356 (9) (2019)
Leonid Berezansky, Josef Diblík, Zdenek Svoboda, Zdenek Smarda
Exponential stability of linear delayed differential systems. Appl. Math. Comput. 320 (2018)
Josef Diblík
Positive solutions to generalized Dickman equation. Appl. Math. Lett. 82 (2018)
Josef Diblík, Rigoberto Medina
Dominant and subdominant positive solutions to generalized Dickman equation. Appl. Math. Comput. 333 (2018)
Josef Diblík
Integral criteria for the existence of positive solutions of first-order linear differential advanced-argument equations. Appl. Math. Lett. 63 (2017)
Josef Diblík
Positive solutions of nonlinear delayed differential equations with impulses. Appl. Math. Lett. 72 (2017)
Josef Diblík, Denys Ya. Khusainov, Jaromír Bastinec, A. S. Sirenko
Exponential stability of linear discrete systems with constant coefficients and single delay. Appl. Math. Lett. 51 (2016)
Stevo Stevic, Josef Diblík, Bratislav Iricanin, Zdenek Smarda
On the system of difference equations. Appl. Math. Comput. 270 (2015)
Josef Diblík, Radoslav Chupác, Miroslava Ruzicková
Unbounded increasing solutions of a system of difference equations with delays. Appl. Math. Comput. 251 (2015)
Josef Diblík, Michal Feckan, Martin Pospísil
Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations. Appl. Math. Comput. 257 (2015)
Leonid Berezansky, Josef Diblík, Zdenek Svoboda, Zdenek Smarda
Simple uniform exponential stability conditions for a system of linear delay differential equations. Appl. Math. Comput. 250 (2015)
Josef Diblík, Denys Ya. Khusainov, Jaromír Bastinec, A. S. Sirenko
Stability and exponential stability of linear discrete systems with constant coefficients and single delay. Appl. Math. Comput. 269 (2015)
Josef Diblík, Bratislav Iricanin, Stevo Stevic, Zdenek Smarda
Note on the existence of periodic solutions of a class of systems of differential-difference equations. Appl. Math. Comput. 232 (2014)
Josef Diblík, Jirí Vítovec
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. Appl. Math. Comput. 238 (2014)
George E. Chatzarakis, Josef Diblík, George N. Miliaras, Ioannis P. Stavroulakis
Classification of neutral difference equations of any order with respect to the asymptotic behavior of their solutions. Appl. Math. Comput. 228 (2014)
Josef Diblík, Michal Feckan, Martin Pospísil
On the New Control Functions for Linear Discrete Delay Systems. SIAM J. Control. Optim. 52 (3) (2014)
Josef Diblík
A note on explicit criteria for the existence of positive solutions to the linear advanced equation x(t) = c(t)x(t+τ). Appl. Math. Lett. 35 (2014)
Jaromír Bastinec, Leonid Berezansky, Josef Diblík, Zdenek Smarda
On a delay population model with a quadratic nonlinearity without positive steady state. Appl. Math. Comput. 227 (2014)
Stevo Stevic, Josef Diblík, Zdenek Smarda
On periodic and solutions converging to zero of some systems of differential-difference equations. Appl. Math. Comput. 227 (2014)
Josef Diblík, Mária Kúdelcíková
New explicit integral criteria for the existence of positive solutions to the linear advanced equation ẏ(t) = c(t)y(t+τ). Appl. Math. Lett. 38 (2014)
Josef Diblík, Radoslav Chupác, Miroslava Ruzicková
Unbounded solutions of the equation ẏ(t)=∑i=1nβi(t)y(t-δi)-y(t-τi). Appl. Math. Comput. 221 (2013)
Josef Diblík, Miroslava Ruzicková, Zuzana Sutá
Asymptotic convergence of the solutions of a discrete equation with several delays. Appl. Math. Comput. 218 (9) (2012)
Josef Diblík, Ewa Schmeidel
On the existence of solutions of linear Volterra difference equations asymptotically equivalent to a given sequence. Appl. Math. Comput. 218 (18) (2012)
Josef Diblík, Miroslava Ruzicková, Zuzana Sutá
Asymptotic convergence of the solutions of a discrete system with delays. Appl. Math. Comput. 219 (8) (2012)
Josef Diblík, Ewa Schmeidel, Miroslava Ruzicková
Asymptotically periodic solutions of Volterra system of difference equations. Comput. Math. Appl. 59 (8) (2010)
Leonid Berezansky, Josef Diblík, Zdenek Smarda
Positive solutions of second-order delay differential equations with a damping term. Comput. Math. Appl. 60 (5) (2010)
Josef Diblík, Zdenek Svoboda, Zdenek Smarda
Explicit criteria for the existence of positive solutions for a scalar differential equation with variable delay in the critical case. Comput. Math. Appl. 56 (2) (2008)
Josef Diblík, Denys Ya. Khusainov, Miroslava Ruzicková
Controllability of Linear Discrete Systems with Constant Coefficients and Pure Delay. SIAM J. Control. Optim. 47 (3) (2008)