Generalized distributivity equation on GD-groupoids
Generalized distributivity for real, continuous functions. I: Structure theorems and surjective solutions.
Generalized distributivity for real, continuous functions. II: Local solutions in the continuous case.
Generalized functional equation of two variables in information theory
Generalized fundamental equation of information of multiplicative type.
Generalized Hénon difference equations with delay.
Generalized hermite polynomials obtained by embeddings of the q-Heisenberg algebra
Several ways to embed q-deformed versions of the Heisenberg algebra into the classical algebra itself are presented. By combination of those embeddings it becomes possible to transform between q-phase-space and q-oscillator realizations of the q-Heisenberg algebra. Using these embeddings the corresponding Schrödinger equation can be expressed by various difference equations. The solutions for two physically relevant cases are found and expressed as Stieltjes Wigert polynomials.
Generalized Hyers-Ulam stability of an AQCQ-functional equation in non-Archimedean Banach spaces.
Generalized Hyers-Ulam stability of generalized -derivations.
Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach.
Generalized Hyers-Ulam stability of the Pexiderized Cauchy functional equation in non-archimedean spaces.
Generalized Hyers-Ulam-Rassias theorem in Menger probabilistic normed spaces.
Generalized inequalities for indefinite forms.
Generalized Jensen's equations in Banach modules over a unital -algebra.
Generalized midconvexity
There are many types of midconvexities, for example Jensen convexity, t-convexity, (s,t)-convexity. We provide a uniform framework for all the above mentioned midconvexities by considering a generalized middle-point map on an abstract space X. We show that we can define and study the basic convexity properties in this setting.
Generalized ordinary differential equations and discrete systems
Generalized orthogonal stability of some functional equations.
Generalized sine equations, I.
Generalized sine equations, I. (Summary).
Generalized sine equations, II.