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On time transformations for differential equations with state-dependent delay
Systems of differential equations with state-dependent delay are considered. The delay dynamically depends on the state, i.e. is governed by an additional differential equation. By applying the ti...
BD - Teorie informace
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Local Properties of Solutions to Non-Autonomous Parabolic PDEs with State-Dependent Delays
A wide class of non-autonomous nonlinear parabolic partial differential equations with delay is studied. We allow in our investigations different types of delays such as constant, time- dependent, state-depende...
BC - Teorie a systémy řízení
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Parabolic partial differential equations with discrete state-dependent delay: Classical solutions and solution manifold
Classical solutions to PDEs with discrete state-dependent delay are studied. We prove the well-posedness in a set XF which is analogous to the solution manifold used for ordinary differential equations with statedependent <...
BC - Teorie a systémy řízení
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Stability of a viral infection model with state-dependent delay, CTL and antibody immune responses
A virus dynamics model with intracellular state-dependent delay and nonlinear infection rate of Beddington-DeAngelis functional response is studied. The technique. We consider rst a particular biologically motivated class ...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Non-local PDEs with discrete state-dependent delays: Well-posedness in a metric space
for differential equations with state- dependent delay, J. Differential Equations, 195(1 equation, all with state-dependent delays.Partial differential equations with discrete (concentrated) ...
BC - Teorie a systémy řízení
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Dynamics of second order in time evolution equations with state-dependent delay
with state-dependent delay. This class covers several important PDE models arising of functionswhich are C1 in time. In contrast with the first order models with discrete state-dependent delay th...
BD - Teorie informace
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Asymptotic behavior of positive solutions of differential equations with state delay
A differential equation $dot{y}(t)=-c(t)y(t-tau(t,y(t)))$, where $tge t_0in mathbb{R}$, with state-dependent delay represented by the function $tau$, is considered. Existence of positive solutions for $ttoinfty$ is discus...
Pure mathematics
- 2017 •
- O
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O - Ostatní výsledky
Viral infection model with diffusion and state-dependent delay: Stability of classical solutions
A class of reaction-diffusion virus dynamics models with intracellular state-dependent delay and a general non-linear infection rate functional response is investigated. We are interested in classical solutions with Lipschi...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Continuous solutions to a viral infection model with general incidence rate, discrete state-dependent delay, CTL and antibody immune responses
A virus dynamics model with intracellular state-dependent delay and a general nonlinear infection rate functional response is studied. We consider the case of merely continuous solutions which is adequate to the discontin...
BC - Teorie a systémy řízení
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Viral infection model with diffusion and state-dependent delay: a case of logistic growth
We propose a virus dynamics model with reaction-diffusion and logistic growth terms, intracellular state-dependent delay and a general non-linear infection rate functional response. Classical solutions with Lipschitz in-tim...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2017 •
- D
Rok uplatnění
D - Stať ve sborníku
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