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.
Integrable solutions of functional equations [Book]
Interior idempotents and non-representability of groupoids.
Interpolation linéaire et équations fonctionnelles
Intuitionistic fuzzy stability of a quadratic functional equation.
Intuitionistic fuzzy stability of Jensen type mapping.
Invariance identity in the class of generalized quasiarithmetic means
An invariance formula in the class of generalized p-variable quasiarithmetic means is provided. An effective form of the limit of the sequence of iterates of mean-type mappings of this type is given. An application to determining functions which are invariant with respect to generalized quasiarithmetic mean-type mappings is presented.
Invariance in the class of weighted quasi-arithmetic means
Under the assumption of twice continuous differentiability of some of the functions involved we determine all the weighted quasi-arithmetic means M,N,K such that K is (M,N)-invariant, that is, K∘(M,N) = K. Some applications to iteration theory and functional equations are presented.
Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means.