Almost -convex and almost Wright-convex functions
Almost-distribution cosine functions and integrated cosine functions
We introduce the notion of almost-distribution cosine functions in a setting similar to that of distribution semigroups defined by Lions. We prove general results on equivalence between almost-distribution cosine functions and α-times integrated cosine functions.
Alternative definitions of -density topology
Always of the first category sets (II)
Amoeba relation and Galois-Tukey connections
An abstract version of Sierpiński's theorem and the algebra generated by A and CA functions
We give an abstract version of Sierpiński's theorem which says that the closure in the uniform convergence topology of the algebra spanned by the sums of lower and upper semicontinuous functions is the class of all Baire 1 functions. Later we show that a natural generalization of Sierpiński's result for the uniform closure of the space of all sums of A and CA functions is not true. Namely we show that the uniform closure of the space of all sums of A and CA functions is a proper subclass of the...
An algebraic derivative associated to the operator
In this paper we get an algebraic derivative relative to the convolution associated to the operator , which is used, together with the corresponding operational calculus, to solve an integral-differential equation. Moreover we show a certain convolution property for the solution of that equation
An algorithm for the numerical solution of differential equations of fractional order.
An almost nowhere Fréchet smooth norm on superreflexive spaces
Every separable infinite-dimensional superreflexive Banach space admits an equivalent norm which is Fréchet differentiable only on an Aronszajn null set.
An Analog of the Tricomi Problem for a Mixed Type Equation with a Partial Fractional Derivative
Mathematics Subject Classification 2010: 35M10, 35R11, 26A33, 33C05, 33E12, 33C20.The paper deals with an analog of Tricomi boundary value problem for a partial differential equation of mixed type involving a diffusion equation with the Riemann-Liouville partial fractional derivative and a hyperbolic equation with two degenerate lines. By using the properties of the Gauss hypergeometric function and of the generalized fractional integrals and derivatives with such a function in the kernel, the uniqueness...
An analogue of a result of Carathéodory
An analogue of the theorem of Hake-Alexandroff-Looman
An analysis of the Rüschendorf transform - with a view towards Sklar’s Theorem
We revisit Sklar’s Theorem and give another proof, primarily based on the use of right quantile functions. To this end we slightly generalise the distributional transform approach of Rüschendorf and facilitate some new results including a rigorous characterisation of an almost surely existing “left-invertibility” of distribution functions.
An analysis of the stability boundary for a linear fractional difference system
This paper deals with basic stability properties of a two-term linear autonomous fractional difference system involving the Riemann-Liouville difference. In particular, we focus on the case when eigenvalues of the system matrix lie on a boundary curve separating asymptotic stability and unstability regions. This issue was posed as an open problem in the paper J. Čermák, T. Kisela, and L. Nechvátal (2013). Thus, the paper completes the stability analysis of the corresponding fractional difference...
An analytic representation for selfmaps of a countably infinite set and its cycles. (Short Communication).
An analytic representation for selfmaps of a countably infinite set and its cycles.
An analytical solution of the generalized equation of energy transport in one-dimensional semi-infinite domains.
An application of fractional calculus
An application of the generalized Maligranda–Orlicz's Lemma.
An approximate analog of a theorem of Khintchine