227 citations
- Institute of MathematicsPL9 papers
- National Academy of Sciences of UkraineUA5 papers
- University of LübeckDE5 papers
- Max Planck Institute for Dynamics of Complex Technical SystemsDE4 papers
- National Defence AcademyIN4 papers
- Otto-von-Guericke-Universität MagdeburgDE4 papers
- Donetsk Institute for Physics and Engineering named after O.O. GalkinUA3 papers
- Shanghai UniversityCN3 papers
- B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of UkraineUA2 papers
- Czech Academy of Sciences, Institute of MathematicsCZ2 papers
- Donetsk National Technical UniversityUA2 papers
- Italian Institute of TechnologyIT2 papers
71 papers
Compatible pairs of Hamiltonian operators of the first and third orders
Paolo Lorenzoni, Stanislav Opanasenko, Raffaele Vitolo
We compute general compatibility conditions between a weakly nonlocal homogeneous Hamiltonian operator and a third-order homogeneous Hamiltonian operator. Such operators determine…
Implementation of Time-Varying Controllers for a Nonholonomic Mobile Robot: Experimental Studies
Alexander Zuyev, Victoria Grushkovskaya, Sebastian Eisner
We consider a kinematic model of a wheeled mobile robot controlled by translational and angular velocities. For this class of nonholonomic systems, a family of time-varying feedbac…
Regularized Reconstruction of Scalar Parameters in Subdiffusion with Memory via a Nonlocal Observation
Andrii Hulianytskyi, Sergei Pereverzyev, Sergii Siryk +1
In the paper, we propose an analytical and numerical approach to identify scalar parameters (coefficients, orders of fractional derivatives) in the multi-term fractional differenti…
Fixed point results for single and multi-valued three-points contractions
Mohamed Jleli, Evgeniy Petrov, Bessem Samet
In this paper, we are concerned with the study of the existence of fixed points for single and multi-valued three-points contractions. Namely, we first introduce a new class of sin…
Three point analogue of Ćirić-Reich-Rus type mappings with non-unique fixed points
Ravindra K. Bisht, Evgeniy Petrov
In this paper, we introduce a three-point analogue of Ćirić-Reich-Rus type mappings, termed as generalized Ćirić-Reich-Rus type mappings. We demonstrate that these mappings general…
Quasisymmetric mappings in b-metric spaces
Evgeniy A. Petrov, Ruslan R. Salimov
Considering quasisymmetric mappings between b-metric spaces we have found a new estimation for the ratio of diameters of two subsets which are images of two bounded subsets. This r…