Edit Profile (opens in new tab) Vrábel, Róbert Co-Author Distance Author ID: vrabel.robert Published as: Vrabel, Robert; Vrabel, R.; Vrábel, Róbert; Vrábel’, Róbert; Vrábel’, Robert; Vrábeľ, Róbert; Vrábel’, R. more...less External Links: ORCID Documents Indexed: 38 Publications since 1995, including 6 Additional arXiv Preprints Reviewing Activity: 100 Reviews Co-Authors: 8 Co-Authors with 5 Joint Publications 4 Co-Co-Authors all top 5 Co-Authors 33 single-authored 3 Liska, Vladimir 2 Abas, Marcel 2 Mankova, Ingrid 1 Kebisek, Michal 1 Kopcek, Michal 1 Pavliak, Dusan 1 Tanuska, Pavol 1 Vazan, Pavel all top 5 Serials 4 Mathematica Bohemica 3 Electronic Journal of Qualitative Theory of Differential Equations 2 Journal of Mathematical Analysis and Applications 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Mathematical Analysis (Ruse) 1 International Journal of Control 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Archivum Mathematicum 1 IEEE Transactions on Automatic Control 1 Kybernetika 1 Systems & Control Letters 1 Electronic Journal of Differential Equations (EJDE) 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Journal of Computational Analysis and Applications 1 Journal of Dynamical and Control Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Boundary Value Problems 1 Symmetry 1 Journal of Applied Nonlinear Dynamics 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 28 Ordinary differential equations (34-XX) 14 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 12 Publications have been cited 41 times in 38 Documents Cited by ▼ Year ▼ On the lower and upper solutions method for the problem of elastic beam with hinged ends. Zbl 1408.34031 Vrabel, R. 13 2015 Formation of boundary layers for singularly perturbed fourth-order ordinary differential equations with the Lidstone boundary conditions. Zbl 1338.34106 Vrabel, R. 8 2016 Local null controllability of the control-affine nonlinear systems with time-varying disturbances. Zbl 1403.93047 Vrabel, Robert 4 2018 A note on uniform exponential stability of linear periodic time-varying systems. Zbl 1533.93639 Vrabel, Robert 4 2020 Frequency control of singularly perturbed forced Duffing’s oscillator. Zbl 1238.34071 Vrabel, R.; Abas, M. 2 2011 Nonlocal four-point boundary value problem for the singularly perturbed semilinear differential equations. Zbl 1209.34018 Vrabel, Robert 2 2011 Three point boundary value problem for singularly perturbed semilinear differential equations. Zbl 1195.34030 Vrábel, Róbert 2 2009 Stabilisation and state trajectory tracking problem for nonlinear control systems in the presence of disturbances. Zbl 1414.93156 Vrabel, Robert 2 2019 Duffing-type oscillator with a bounded from above potential in the presence of saddle-center bifurcation and singular perturbation: frequency control. Zbl 1470.34107 Vrabel, Robert; Tanuska, Pavol; Vazan, Pavel; Schreiber, Peter; Liska, Vladimir 1 2013 A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations. Zbl 1211.34019 Vrabel, Robert 1 2011 On the approximation of the boundary layers for the controllability problem of nonlinear singularly perturbed systems. Zbl 1250.93034 Vrabel, R. 1 2012 Semilinear singular perturbation. Zbl 0828.34044 Vrábel, Róbert 1 1995 A note on uniform exponential stability of linear periodic time-varying systems. Zbl 1533.93639 Vrabel, Robert 4 2020 Stabilisation and state trajectory tracking problem for nonlinear control systems in the presence of disturbances. Zbl 1414.93156 Vrabel, Robert 2 2019 Local null controllability of the control-affine nonlinear systems with time-varying disturbances. Zbl 1403.93047 Vrabel, Robert 4 2018 Formation of boundary layers for singularly perturbed fourth-order ordinary differential equations with the Lidstone boundary conditions. Zbl 1338.34106 Vrabel, R. 8 2016 On the lower and upper solutions method for the problem of elastic beam with hinged ends. Zbl 1408.34031 Vrabel, R. 13 2015 Duffing-type oscillator with a bounded from above potential in the presence of saddle-center bifurcation and singular perturbation: frequency control. Zbl 1470.34107 Vrabel, Robert; Tanuska, Pavol; Vazan, Pavel; Schreiber, Peter; Liska, Vladimir 1 2013 On the approximation of the boundary layers for the controllability problem of nonlinear singularly perturbed systems. Zbl 1250.93034 Vrabel, R. 1 2012 Frequency control of singularly perturbed forced Duffing’s oscillator. Zbl 1238.34071 Vrabel, R.; Abas, M. 2 2011 Nonlocal four-point boundary value problem for the singularly perturbed semilinear differential equations. Zbl 1209.34018 Vrabel, Robert 2 2011 A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations. Zbl 1211.34019 Vrabel, Robert 1 2011 Three point boundary value problem for singularly perturbed semilinear differential equations. Zbl 1195.34030 Vrábel, Róbert 2 2009 Semilinear singular perturbation. Zbl 0828.34044 Vrábel, Róbert 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 62 Authors 8 Vrábel, Róbert 5 Ma, Ruyun 3 Gao, Chenghua 3 Wang, Jingjing 3 Wang, Jinxiang 3 Xu, Man 2 de Sousa, Robert 2 Ezzine, Faten 2 He, Xingyue 2 Minhós, Feliz Manuel 1 Abas, Marcel 1 Anderson, Robert B. 1 Annaby, Mahmoud H. 1 Attili, Basem S. 1 Cancès, Eric 1 Caraballo Garrido, Tomás 1 Elsayed-Abdullah, S. R. 1 Fan, Chenchen 1 Fialho, João F. 1 Guan, Wen 1 Hammami, Mohamed Ali 1 Jator, Samuel N. 1 Kebisek, Michal 1 Kemlin, Gaspard 1 Khalmatov, A. A. 1 Kong, Lingju 1 Kopcek, Michal 1 Kwok, Ka-Wai 1 L’Afflitto, Andrea 1 Lam, James 1 Layne, Danielle 1 Levitt, Antoine 1 Liska, Vladimir 1 Liu, Dan 1 Liu, Lei 1 Long, Yan 1 Lu, Yanqiong 1 Mamytov, A. O. 1 Mariani, Maria Cristina 1 Marshall, Julius A. 1 Marudai, Muthiah 1 Modebei, Mark I. 1 Ramos, Higinio 1 Sadieva, A. S. 1 SenGupta, Indranil 1 Shakouri, Amir 1 Sulaimanov, Z. M. 1 Tanuska, Pavol 1 Thenmozhi, S. 1 Tursunov, Dilmurat Abdillazhanovich 1 Tursunov, Èlmurod Abdillazhanovich 1 Urus, Nazia 1 Vazan, Pavel 1 Verma, Amit Kumar 1 Wang, Xiaomei 1 Wen, Jin 1 Xie, Xiaochen 1 Yan, Dongliang 1 Yang, Ying 1 Zaitsev, Vasilii Alexandrovich 1 Zhou, Bin 1 Zulpukarov, A. Z. all top 5 Cited in 29 Serials 3 Automatica 3 Lobachevskii Journal of Mathematics 2 Abstract and Applied Analysis 2 Boundary Value Problems 2 Journal of Fixed Point Theory and Applications 2 Open Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Optimization 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Kybernetika 1 Quaestiones Mathematicae 1 Systems & Control Letters 1 Journal of Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 Turkish Journal of Mathematics 1 Mathematical Problems in Engineering 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Stochastics and Dynamics 1 Journal of Applied Mathematics and Computing 1 Mediterranean Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Symmetry 1 Journal of Function Spaces 1 Advances in Operator Theory all top 5 Cited in 11 Fields 28 Ordinary differential equations (34-XX) 10 Systems theory; control (93-XX) 7 Operator theory (47-XX) 4 Numerical analysis (65-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Partial differential equations (35-XX) 2 Probability theory and stochastic processes (60-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year