Boundary value problem for a difference equation
Boundary value problems for functional difference equations on infinite intervals.
Boundary value problems for -difference inclusions.
Bounded nonoscillatory solutions of neutral type difference systems.
Bounded solutions: differential vs difference equations.
Boundedness and asymptotic behavior of solutions of a forced difference equation.
Boundedness and exponential stability of solutions to dynamic equations on time scales.
Boundedness and global attractivity of a higher-order nonlinear difference equation.
Boundedness and stability for discrete-time delayed neural network with complex-valued linear threshold neurons.
Boundedness and vanishing of solutions for a forced delay dynamic equation.
Boundedness, attractivity, and stability of a rational difference equation with two periodic coefficients.
Boundedness in functional dynamic equations on time scales.
Bounds for certain delay integral inequalities on time scales.
Bounds for linear recurrences with restricted coefficients.
Bounds on certain integral inequalities.
Building some symmetric Laguerre-Hahn functionals of class two at most through the sum of symmetric functionals as pseudofunctions with a Dirac measure at origin.
-integrability test for discrete equations via multiple scale expansions.
solutions of systems of finite difference equations.
Canards et râteaux
On étudie le phénomène de retard à la bifurcation dans des systèmes dynamiques discrets du plan. La distinction d’une courbe invariante par le système permet de ramener l’étude de ce phénomène à l’étude d’un objet. On démontre la présence du retard dans les systèmes analytiques oscillants. On fait état d’un nouveau phénomène découvert expérimentalement qui apparaît dans les systèmes non inversibles: la courbe invariante présente une succession de pôles exponentiellement étroits. On démontre la présence...
Cauchy problems for discrete affine minimal surfaces
In this paper we discuss planar quadrilateral (PQ) nets as discrete models for convex affine surfaces. As a main result, we prove a necessary and sufficient condition for a PQ net to admit a Lelieuvre co-normal vector field. Particular attention is given to the class of surfaces with discrete harmonic co-normals, which we call discrete affine minimal surfaces, and the subclass of surfaces with co-planar discrete harmonic co-normals, which we call discrete improper affine spheres. Within this classes,...