A system of partial differential equations with fractional derivatives.
A theorem of Galambos-Bojanić-Seneta type.
A theorem of Šarkovskii characterizing continuous maps of zero topological entropy
A theory of linear differential equations with fractional derivatives
A theory of non-absolutely convergent integrals in Rn with singularities on a regular boundary
Specializing a recently developed axiomatic theory of non-absolutely convergent integrals in , we are led to an integration process over quite general sets with a regular boundary. The integral enjoys all the usual properties and yields the divergence theorem for vector-valued functions with singularities in a most general form.
A two-sided estimate of .
A typical property of the symmetric differential quotient
A Unified Theory of Regularly Varying Sequences.
A variant of Jensen's inequality.
A variant of Jensen-Steffensen's inequality for convex and superquadratic functions.
A well-rounded linear function.
A -porous set need not be -bilaterally porous
A closed subset of the real line which is right porous but is not -left-porous is constructed.
Abel's equation and regular growth: Variations on a theme by Abel.
About an estimation problem of Zahorski
About solutions of a functional equation.
About some properties of intermediate point in certain mean-value formulas.
About the existence and uniqueness of solution to fractional Bürger's equation.
About the Maximum and the Minimum of Darboux Functions
Absolute continuity and hyponormal operators.
Absolute continuity with respect to a subset of an interval
The aim of this paper is to introduce a generalization of the classical absolute continuity to a relative case, with respect to a subset of an interval . This generalization is based on adding more requirements to disjoint systems from the classical definition of absolute continuity – these systems should be not too far from and should be small relative to some covers of . We discuss basic properties of relative absolutely continuous functions and compare this class with other classes of...