-dominant and -recessive matrix solutions for linear quantum systems.
q-Heat Operator and q-Poisson’s Operator
2000 Mathematics Subject Classification: 33D15, 33D90, 39A13In this paper we study the q-heat and q-Poisson’s operators associated with the q-operator ∆q (see[5]). We begin by summarizing some statements concerning the q-even translation operator Tx,q, defined by Fitouhi and Bouzeffour in [5]. Then, we establish some basic properties of the q-heat semi-group such as boundedness and positivity. In the second part, we introduce the q-Poisson operator P^t, and address its main properties. We show...
QL-implications versus D-implications
This paper deals with two kinds of fuzzy implications: QL and Dishkant implications. That is, those defined through the expressions and respectively, where is a t-norm, is a t-conorm and is a strong negation. Special attention is due to the relation between both kinds of implications. In the continuous case, the study of these implications is focused in some of their properties (mainly the contrapositive symmetry and the exchange principle). Finally, the case of non continuous t-norms...
Quadratic forms as Lyapunov functions in the study of stability of solutions to difference equations.
Quadratic functional equations of Pexider type.
Quadratic functionals and bilinear forms
Quadratic functionals and Jordan *-derivations
Quadratic functionals on modules over complex Banach *-algebras with an approximate identity
The problem of representability of quadratic functionals by sesquilinear forms is studied in this article in the setting of a module over an algebra that belongs to a certain class of complex Banach *-algebras with an approximate identity. That class includes C*-algebras as well as H*-algebras and their trace classes. Each quadratic functional acting on such a module can be represented by a unique sesquilinear form. That form generally takes values in a larger algebra than the given quadratic functional...
Quadratic Level Quasigroup Equations With Four Variables II: the Lattice of Varieties
Quadratic-quartic functional equations in RN-spaces.
Quantitative bounds for positive solutions of a Stević difference equation.
Quantum Painlevé equations: from continuous to discrete.
Quasi-additive functions.
Quasi-adjoint third order difference equations: Oscillatory and asymptotic behavior.
Quasi-Fibonacci numbers of order 11.
Quasigroups satisfying balanced but not Belousov equations are group isotopes.
Quasi-homogeneous associative functions.
Quasi-homomorphisms
We study the stability of homomorphisms between topological (abelian) groups. Inspired by the "singular" case in the stability of Cauchy's equation and the technique of quasi-linear maps we introduce quasi-homomorphisms between topological groups, that is, maps ω: 𝒢 → ℋ such that ω(0) = 0 and ω(x+y) - ω(x) - ω(y) → 0 (in ℋ) as x,y → 0 in 𝒢. The basic question here is whether ω is approximable by a true homomorphism a in the sense that ω(x)-a(x) → 0 in ℋ as x →...
Quasi-sums in several variables.
Quelques observations à propos de l'équation pré-Schröder