Identification of discrete chaotic maps with singular points.
Implications between approximate convexity properties and approximate Hermite-Hadamard inequalities
The connection between the functional inequalities and is investigated, where D is a convex subset of a linear space, f: D → ℝ, α H;α J: D-D → ℝ are even functions, λ ∈ [0; 1], and ρ: [0; 1] →ℝ+ is an integrable nonnegative function with ∫01 ρ(t) dt = 1.
Implicit difference inequalities corresponding to first-order partial differential functional equations.
Improved -convexity inequalities.
Inégalité de Brunn-Minkowski-Lusternik, et autres inégalités géométriques et fonctionnelles
La théorie des corps convexes a commencé à la fin du xixe siècle avec l’inégalité de Brunn, généralisée ensuite sous la forme de l’inégalité de Brunn-Minkowski-Lusternik, qui s’applique à des ensembles non convexes. Ce thème a depuis longtemps des contacts avec les problèmes isopérimétriques et avec des inégalités d’Analyse telle que les plongements de Sobolev. On développera quelques aspects plus récents des inégalités géométriques, dont certains sont liés à la technique du transport de mesure,...
Inequalities among eigenvalues of second-order difference equations with general coupled boundary conditions.
Inequalities in additive -isometries on linear -normed Banach spaces.
Inequalities that lead to exponential stability and instability in delay difference equations.
Inequalities via Lagrange multipliers.
Infinite horizon discrete time control problems for bounded processes.
Information and entropy of countable measurable partitions. I
Information and Probability: Collectors and Shannon Compositivity.
Informazione relativa in uno spazio con legge d'indipendenza qualsiasi.
The notion of relative measure of information in an abstract information space with generalized independence law is studied. The axiomatic definition is given and the form of dependence on the absolute measures is determined, as a solution of a system of functional equations.
Initial and boundary value problems for -th order difference equations
Initial data stability and admissibility of spaces for Itô linear difference equations
The admissibility of spaces for Itô functional difference equations is investigated by the method of modeling equations. The problem of space admissibility is closely connected with the initial data stability problem of solutions for Itô delay differential equations. For these equations the -stability of initial data solutions is studied as a special case of admissibility of spaces for the corresponding Itô functional difference equation. In most cases, this approach seems to be more constructive...
Initial-value problems for linear partial difference equations.
Instability of discrete systems.
Instanton-anti-instanton solutions of discrete Yang-Mills equations
We study a discrete model of the Yang-Mills equations on a combinatorial analog of . Self-dual and anti-self-dual solutions of discrete Yang-Mills equations are constructed. To obtain these solutions we use both the techniques of a double complex and the quaternionic approach.
Integrable discrete equations derived by similarity reduction of the extended discrete KP hierarchy.