Advanced differential equations with piecewise constant argument deviations.
Affine and convex functions with respect to the logarithmic mean
The class of all functions f:(0,∞) → (0,∞) which are continuous at least at one point and affine with respect to the logarithmic mean is determined. Some related results concerning the functions convex with respect to the logarithmic mean are presented.
Affine selections of convex set-valued functions.
Algebraic and essentially algebraic composition operators on C(X).
Algebraic and topological structures on the set of mean functions and generalization of the AGM mean
We present new structures and results on the set of mean functions on a given symmetric domain in ℝ². First, we construct on a structure of abelian group in which the neutral element is the arithmetic mean; then we study some symmetries in that group. Next, we construct on a structure of metric space under which is the closed ball with center the arithmetic mean and radius 1/2. We show in particular that the geometric and harmonic means lie on the boundary of . Finally, we give two theorems...
All General Solutions of Finite Equations
Almost approximately convex functions
Almost automorphic solutions of difference equations.
Almost Floquet linear difference equations
Almost iterable functions.
Almost localization and almost reducibility
Almost midconvex and almost convex set-valued functions
Almost periodic solutions of nonlinear discrete Volterra equations with unbounded delay.
Almost periodic solutions of prey-predator discrete models with delay.
Almost periodicity and functional equations.
Almost sufficient and necessary conditions for permanence and extinction of nonautonomous discrete logistic systems with time-varying delays and feedback control
A class of nonautonomous discrete logistic single-species systems with time-varying pure-delays and feedback control is studied. By introducing a new research method, almost sufficient and necessary conditions for the permanence and extinction of species are obtained. Particularly, when the system degenerates into a periodic system, sufficient and necessary conditions on the permanence and extinction of species are obtained. Moreover, a very important fact is found in our results, that is, the feedback...
Almost Trivial Groupoids
Almost -convex and almost Wright-convex functions
Alternate derivations of the stability region of a difference equation with two delays.
An algebraic functional equation