On fixed point theorems for mappings defined on spheres in metric spaces
Abstract AuthorsMira-Cristiana Anisiu Institute of Mathematics, Cluj-Napoca, Romania Keywords? Paper coordinatesM.-C. Anisiu, On fixed point theorems for mappings defined on…
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Global random walk for one-dimensional one-phase Stefan-type moving-boundary problems: Simulation results
Abstract This work presents global random walk approximations of solutions to one-dimensional Stefan-type moving-boundary problems. We are particularly interested in…
Existence of periodic solutions of ODE via fixed point theorems
Abstract Using a generalization of Browder’s fixed point theorem for nonexpansive maps defined of a closed bounded convex is in…
On the curvature of the trajectories in the restricted three-body problem
Abstract It is proved that for the restricted problem of three bodies there are at most three osculating solutions at…
On the photogravitational model of C. Popovici
Abstract For the system governed by a central force depending on distance and radial velocity considered by C. Popovici, one…
On the inverse problem of Dynamics for generalized Lagrangian systems
Abstract A system of partial differential equations for the force function \(U\) (hence for the potential function -\(U\)) is given…
On the Legendre transform and its applications
Abstract AuthorsArpad Pal Babes-Bolyai University, Cluj-Napoca, Romania Mira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical analysis Romanian Academy, Romania Keywords? Paper…
On the two-dimensional inverse problem of dynamics
Abstract The authors extend the deduction of the equations satisfied by the force fields from inertial to rotating frames, when…
Two-dimensional inverse problem of dynamics in a rotating frame
Abstract AuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical Analysis Romanian Academy, Romania Arpad Pal Babes-Bolyai University, Cluj-Napoca, Romania Keywords? Paper…
Family boundary curves in rotating systems
Abstract In the framework of the two-dimensional inverse problem of Dynamics with autonomous forces, we discuss the creation of the…