A direct proof of a theorem by Kolmogorov in hamiltonian systems
A Dirichlet Type Result for Ordinary Differential Operators.
A discrete contact model for crowd motion
The aim of this paper is to develop a crowd motion model designed to handle highly packed situations. The model we propose rests on two principles: we first define a spontaneous velocity which corresponds to the velocity each individual would like to have in the absence of other people. The actual velocity is then computed as the projection of the spontaneous velocity onto the set of admissible velocities (i.e. velocities which do not violate the non-overlapping constraint). We describe here the...
A discrete contact model for crowd motion
The aim of this paper is to develop a crowd motion model designed to handle highly packed situations. The model we propose rests on two principles: we first define a spontaneous velocity which corresponds to the velocity each individual would like to have in the absence of other people. The actual velocity is then computed as the projection of the spontaneous velocity onto the set of admissible velocities (i.e. velocities which do not violate the non-overlapping constraint). We describe here...
A discrete equivalent of the logistic equation.
A discrete Lyapunov theorem for the exponential stability of evolution families.
A discrete-continuous model for bisexual population dynamics.
A duality between Schrödinger operators on graphs and certain Jacobi matrices
A duality principle for delay equations
A dynamical model of terrorism.
A dynamical system in a Hilbert space with a weakly attractive nonstationary point
A differential equation is a Hilbert space with all solutions bounded but with so finite nontrivial invariant measure is constructed. In fact, it is shown that all solutions to this equation converge weakly to the origin, nonetheless, there is no stationary point. Moreover, so solution has a non-empty -set.
A family of multistep methods to integrate orbits on spheres.
A Family of Solutions of the IVP for the Equation x'(t) = ax(...), ... >>1
A Filippov type existence theorem for a class of second-order differential inclusions.
A Finite Element Merthod Scheme for one Dimensional Elliptic Equations with High Super Convergence at the Nodes.
A finite element method for a model of population dynamics with spatial diffusion
A Finite Element Method for a Singularly Perturbed Boundary Value Problem.
A finite element method for a two point boundary value problem with a small parameter affecting the highest derivative
A finite element method for the computation of parametric minimal surfaces
A first order accuracy scheme on non-uniform mesh.