Božena Dorociaková
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Božena Dorociaková has a total of 13 co-authors. Here are the top co-authors by number of shared publications:
- Rudolf Olach
Department of Applied Mathematics University of Žilina Žilina Slovak Republic
6 shared publications Rudolf Olach
Department of Applied Mathematics, University of Žilina, Žilina, Slovak Republic
4 shared publications- Radoslav Chupáč
Department of Applied Mathematics University of Žilina Žilina Slovak Republic
2 shared publications Anna Najmanová
Department of Mathematics, University of Žilina, 010 26 Žilina, Slovakia
1 shared publicationIveta Ilavská
Univ Zilina, Fac Operat & Econ Transport & Commun, Dept Quantitat Methods & Econ Informat, Univ 1, Zilina 01026, Slovakia
1 shared publicationM. Kubjatková
Department of Mathematics, University of Žilina, 010 26 Žilina, Slovakia
1 shared publication
Latest Publications
- Open Access
- 1 September 2024
- Published by Czestochowa University of Technology in Journal of Applied Mathematics and Computational Mechanics
- Vol. 23 (3) , 54-62
A note on the mathematical model of machine vibration
Journal of Applied Mathematics and Computational Mechanics, Prace Naukowe Instytutu Matematyki i Informatyki, Politechnika Częstochowska, Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology
- 1 September 2024
- Published by Czestochowa University of Technology in Journal of Applied Mathematics and Computational Mechanics
- Vol. 23 (3) , 54-62
Open AccessA note on the mathematical model of machine vibration
Journal of Applied Mathematics and Computational Mechanics, Prace Naukowe Instytutu Matematyki i Informatyki, Politechnika Częstochowska, Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology
- Open Access
- 27 January 2023
- Published by MDPI AG in Mathematics
- Vol. 11 (3) , 634
Some Properties of Motion of Atoms near a Charged Wire
We are concerned with the classical approach to atomic motions in the vicinity of a wire charged by an oscillating voltage. This mechanism has been proposed to serve for trapping cold neutral atoms. We prove that, under some conditions, the atom must either collide with the wire or escape to infinity in the radial direction. The presented results for the atom–wire problem extend and complement some earlier ones in the literature.
- 27 January 2023
- Published by MDPI AG in Mathematics
- Vol. 11 (3) , 634
Open AccessSome Properties of Motion of Atoms near a Charged Wire
We are concerned with the classical approach to atomic motions in the vicinity of a wire charged by an oscillating voltage. This mechanism has been proposed to serve for trapping cold neutral atoms. We prove that, under some conditions, the atom must either collide with the wire or escape to infinity in the radial direction. The presented results for the atom–wire problem extend and complement some earlier ones in the literature.
- 1 January 2021
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems-Series B
- Vol. 27 (5) , 2607-2619
The model of nutrients influence on the tumor growth
- 1 January 2021
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems-Series B
- Vol. 27 (5) , 2607-2619
The model of nutrients influence on the tumor growth
- Open Access
- 28 November 2018
- Published by Wiley in Mathematical Problems in Engineering
- Vol. 2018, 1-8
Existence and Stability of Periodic Solution Related to Valveless Pumping
Valveless pumping, also known as Liebau effect, can be described as the unidirectional flow of liquid in a system without valves that is caused by the asymmetry of placing of the periodically working pump. Recently, the research in this field has been reevoked, partially due to its possible application in nanotechnologies. In this paper, a configuration of one pipe and one tank is considered from the mathematical point of view. Qualitative properties of a class of nonlinear differential equations that model the assumed system configuration are investigated. New sufficient conditions for the existence of positive -periodic solutions are given. Correspondingly, exponential stability of periodic solution is treated. Presented results are new. They extend and complement earlier ones in the literature.- 28 November 2018
- Published by Wiley in Mathematical Problems in Engineering
- Vol. 2018, 1-8
Open AccessExistence and Stability of Periodic Solution Related to Valveless Pumping
Valveless pumping, also known as Liebau effect, can be described as the unidirectional flow of liquid in a system without valves that is caused by the asymmetry of placing of the periodically working pump. Recently, the research in this field has been reevoked, partially due to its possible application in nanotechnologies. In this paper, a configuration of one pipe and one tank is considered from the mathematical point of view. Qualitative properties of a class of nonlinear differential equations that model the assumed system configuration are investigated. New sufficient conditions for the existence of positive -periodic solutions are given. Correspondingly, exponential stability of periodic solution is treated. Presented results are new. They extend and complement earlier ones in the literature. - Open Access
- 4 May 2018
- Published by Springer Nature in Advances in Difference Equations
- Vol. 2018 (1) , 162
Notes on oscillation of linear delay differential equations
- 4 May 2018
- Published by Springer Nature in Advances in Difference Equations
- Vol. 2018 (1) , 162
Open AccessNotes on oscillation of linear delay differential equations
- Open Access
- 1 January 2017
- Published by University of Szeged in Electronic Journal of Qualitative Theory of Differential Equations
- No. 65,p. 1-14
Existence of solutions for an age-structured insect population model with a larval stage
- 1 January 2017
- Published by University of Szeged in Electronic Journal of Qualitative Theory of Differential Equations
- No. 65,p. 1-14
Open AccessExistence of solutions for an age-structured insect population model with a larval stage
- Open Access
- 1 January 2016
- Published by Walter de Gruyter GmbH in Open Mathematics
- Vol. 14 (1) , 361-369
Some notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations
The paper deals with the existence of positive ω-periodic solutions for a class of nonlinear delay differential equations. For example, such equations represent the model for the survival of red blood cells in an animal. The sufficient conditions for the exponential stability of positive ω-periodic solution are also considered
- 1 January 2016
- Published by Walter de Gruyter GmbH in Open Mathematics
- Vol. 14 (1) , 361-369
Open AccessSome notes to existence and stability of the positive periodic solutions for a delayed nonlinear differential equations
The paper deals with the existence of positive ω-periodic solutions for a class of nonlinear delay differential equations. For example, such equations represent the model for the survival of red blood cells in an animal. The sufficient conditions for the exponential stability of positive ω-periodic solution are also considered
- Open Access
- 16 May 2013
- Published by Springer Nature in Advances in Difference Equations
- Vol. 2013 (1) , 140
Uncountably many solutions of first-order neutral nonlinear differential equations
- 16 May 2013
- Published by Springer Nature in Advances in Difference Equations
- Vol. 2013 (1) , 140
Open AccessUncountably many solutions of first-order neutral nonlinear differential equations
- Open Access
- 1 January 2012
- Published by Wiley in Abstract and Applied Analysis
- Vol. 2012 (1)
Existence of Positive Solutions of Neutral Differential Equations
The paper contains some suffcient conditions for the existence of positive solutions which are bounded below and above by positive functions for the nonlinear neutral differential equations of higher order. These equations can also support the existence of positive solutions approaching zero at infinity.
- 1 January 2012
- Published by Wiley in Abstract and Applied Analysis
- Vol. 2012 (1)
Open AccessExistence of Positive Solutions of Neutral Differential Equations
The paper contains some suffcient conditions for the existence of positive solutions which are bounded below and above by positive functions for the nonlinear neutral differential equations of higher order. These equations can also support the existence of positive solutions approaching zero at infinity.
- Open Access
- 1 January 2011
- Published by Wiley in Abstract and Applied Analysis
- Vol. 2011 (1)
Existence of Nonoscillatory Solutions of First‐Order Neutral Differential Equations
This paper contains some sufficient conditions for the existence of positive solutions which are bounded below and above by positive functions for the first‐order nonlinear neutral differential equations. These equations can also support the existence of positive solutions approaching zero at infinity
- 1 January 2011
- Published by Wiley in Abstract and Applied Analysis
- Vol. 2011 (1)
Open AccessExistence of Nonoscillatory Solutions of First‐Order Neutral Differential Equations
This paper contains some sufficient conditions for the existence of positive solutions which are bounded below and above by positive functions for the first‐order nonlinear neutral differential equations. These equations can also support the existence of positive solutions approaching zero at infinity