A contribution to the phase theory of a linear second-order differential equation in the Jacobian form
A derivative array approach for linear second order differential-algebraic systems.
A difference method for a system of second order ordinary differential equations
A differentiable dependence on the right-hand side of solutions of ordinary differential equations
A differential equation related to the -norms
Let p ∈ (1,∞). The question of existence of a curve in ℝ₊² starting at (0,0) and such that at every point (x,y) of this curve, the -distance of the points (x,y) and (0,0) is equal to the Euclidean length of the arc of this curve between these points is considered. This problem reduces to a nonlinear differential equation. The existence and uniqueness of solutions is proved and nonelementary explicit solutions are given.
A Differential Geometric Characterization of the First Painlevé Transcendent.
A differential inclusion : the case of an isotropic set
In this article we are interested in the following problem: to find a map that satisfieswhere is an open set of and is a compact isotropic set of . We will show an existence theorem under suitable hypotheses on .
A differential inclusion: the case of an isotropic set
In this article we are interested in the following problem: to find a map that satisfies where Ω is an open set of and E is a compact isotropic set of . We will show an existence theorem under suitable hypotheses on φ.
A Differential Inequality for the Distance Function in Normed Linear Spaces.
A differential Puiseux theorem in generalized series fields of finite rank
We study differential equations where is a formal series in with coefficients in some field of generalized power series with finite rank . Our purpose is to express the support , i.e. the set of exponents, of the elements that are solutions, in terms of the supports of the coefficients of the equation, namely .
A direct proof of a theorem by Kolmogorov in hamiltonian systems
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-continuous model for bisexual population dynamics.
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 method for a two point boundary value problem with a small parameter affecting the highest derivative
A fixed point approach to the stability of differential equations .