Power series and zeroes of trinomial equations. (Summary).
Practical Ulam-Hyers-Rassias stability for nonlinear equations
In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets. We derive some interesting sufficient conditions on practical Ulam-Hyers-Rassias stability from a nonlinear functional analysis point of view. Our method is based on solving nonlinear equations via homotopy method together with Bihari inequality result. Then we consider nonlinear equations...
Probability distribution solutions of a general linear equation of infinite order
Let (Ω,,P) be a probability space and let τ: ℝ × Ω → ℝ be strictly increasing and continuous with respect to the first variable, and -measurable with respect to the second variable. We obtain a partial characterization and a uniqueness-type result for solutions of the general linear equation in the class of probability distribution functions.
Probability distribution solutions of a general linear equation of infinite order, II
Let (Ω,,P) be a probability space and let τ: ℝ × Ω → ℝ be a mapping strictly increasing and continuous with respect to the first variable, and -measurable with respect to the second variable. We discuss the problem of existence of probability distribution solutions of the general linear equation . We extend our uniqueness-type theorems obtained in Ann. Polon. Math. 95 (2009), 103-114.
Progress of iteration theory since 1981.
Prolongement analytique et systèmes dynamiques discrets.
We present a new method of analytic continuation of series out of their disk of convergence. We then exhibit a connection with the phenomenon of bifurcation delay in a planar discrete dynamical system; the limit of the method is then related to a stop phenomenon.
Properties of differences of meromorphic functions
Let be a transcendental meromorphic function. We propose a number of results concerning zeros and fixed points of the difference and the divided difference .
Proportion functions in three dimensions.
Pseudocharacters on a class of extensions of free groups.
Pythagorean orthogonality and additive mappings.
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 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.
Quasi-additive functions.
Quasigroups satisfying balanced but not Belousov equations are group isotopes.
Quasi-homogeneous associative functions.