Search Results - "Josef Diblik"

Novel criterion for the existence of solutions with positive coordinates to a system of linear delayed differential equations with multiple delays by Diblík, Josef

“…A linear system of delayed differential equations with multiple delays ẋ(t)=−∑i=1sci(t)Ai(t)x(t−τi(t)),t∈[t0,∞),is considered where x is an n-dimensional…”
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Optimal Stabilization in Systems of Linear Differential Equations by Khusainov, Denys Ya, Diblik, Josef, Shatyrko, Andriy V., Hahurin, Zhenya R.

“…This article considers the optimal stabilization problems for complex dynamical systems, which can be described in terms of linear differential equations. At…”
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Exponential stability of linear discrete systems with multiple delays by degenerated Lyapunov–Krasovskii functionals by Diblík, Josef

“…The problem of exponential stability of delayed discrete systems with multiple delays x(n+1)=(I+A)x(n)+∑i=1sBix(n−i),n=0,1,…is studied, where x=(x1x2…xm)T is…”
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Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions by Diblík, Josef

“…The representation and behavior is investigated of the solutions to an equation with a single constant delay ẋ(t)=−c(t)x(t−τ), t≥t0≥0 with c a positive…”
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Positive solutions of nonlinear delayed differential equations with impulses by Diblík, Josef

“…The paper is concerned with the long-term behavior of solutions to scalar nonlinear functional delayed differential equations ẏ(t)=−f(t,yt),t≥t0.It is assumed…”
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Relative and Trajectory Controllability of Linear Discrete Systems With Constant Coefficients and a Single Delay by Diblik, Josef

“…This paper studies the qualitative behavior of solutions of linear discrete systems with constant coefficients and a constant time delay under the influence of…”
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Bounded solutions to systems of fractional discrete equations by Diblík, Josef

“…The article is concerned with systems of fractional discrete equations where , is an independent variable, is an -order fractional difference, , , is a fixed…”
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Existence of solutions in cones to delayed higher-order differential equations by Diblík, Josef, Galewski, Marek

“…An n-th order delayed differential equation y(n)(t)=f(t,yt,yt′,…,yt(n−1)) is considered, where yt(θ)=y(t+θ), θ∈[−τ,0], τ>0, if t→∞. A criterion is formulated…”
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Asymptotic behavior of solutions of a second-order nonlinear discrete equation of Emden-Fowler type by Diblík, Josef, Korobko, Evgeniya

“…The article investigates a second-order nonlinear difference equation of Emden-Fowler type where is the independent variable with values , is the dependent…”
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Integral criteria for the existence of positive solutions of first-order linear differential advanced-argument equations by Diblík, Josef

“…A linear differential equation with advanced-argument y′(t)−c(t)y(t+τ)=0 is considered where c:[t0,∞)→[0,∞), t0∈R is a bounded and locally Lipschitz continuous…”
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Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients by Diblík, Josef, Pituk, Mihály, Szederkényi, Gábor

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A Note on Relative Controllability of Higher Order Linear Delayed Discrete Systems by Diblik, Josef, Mencakova, Kristyna

“…This article is concerned with relative controllability of higher order linear discrete delayed systems with a single delay. By a formula that uses special…”
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Two-parameters formulas for general solution to planar weakly delayed linear discrete systems with multiple delays, equivalent non-delayed systems, and conditional stability by Diblík, Josef, Halfarová, Hana, Šafařík, Jan

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Dominant and subdominant positive solutions to generalized Dickman equation by Diblík, Josef, Medina, Rigoberto

“…The paper considers a generalized Dickman equationtx˙(t)=−∑i=1saix(t−τi)for t → ∞ where s∈N,ai > 0, τi > 0, i=1,…,s and ∑i=1sai=1. It is proved that there are…”
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Uniform exponential stability of linear delayed integro-differential vector equations by Berezansky, Leonid, Diblík, Josef, Svoboda, Zdeněk, Šmarda, Zdeněk

“…Uniform exponential stability of a linear delayed integro-differential vector equationx˙(t)=∑k=1mAk(t)x(hk(t))+∑k=1l∫gk(t)tPk(t,s)x(s)ds,t∈[0,∞), where…”
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Long-time behaviour of solutions of delayed-type linear differential equations by Diblík, Josef

“…This paper investigates the asymptotic behaviour of the solutions of the retarded-type linear differential functional equations with bounded delays $$ \dot…”
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Vanishing and blow-up solutions to a class of nonlinear complex differential equations near the singular point by Diblík, Josef, Růžičková, Miroslava

“…A singular nonlinear differential equation where , is considered in a neighbourhood of the point located either in the complex plane if is a natural number, in…”
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Exponential stability criteria for linear neutral systems with applications to neural networks of neutral type by Berezansky, Leonid, Diblík, Josef, Svoboda, Zdeněk, Šmarda, Zdeněk

“…Linear neutral vector equationsx˙(t)=A0(t)x˙(h0(t))+∑k=1mAk(t)x(hk(t))+∫g(t)tP(t,s)x(s)dsare considered on interval [0,∞). Here x=(x1,…,xn)T, m is a positive…”
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On the existence of solutions of linear Volterra difference equations asymptotically equivalent to a given sequence by Diblík, Josef, Schmeidel, Ewa

“…Schauder’s fixed point technique is applied to asymptotical analysis of solutions of a linear Volterra difference…”
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Stabilization of cycles for difference equations with a noisy PF control by Braverman, Elena, Diblík, Josef, Rodkina, Alexandra, Šmarda, Zdeněk

“…Difference equations, such as a Ricker map, for an increased value of the parameter, experience instability of the positive equilibrium and transition to…”
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