On Shafer and Carlson inequalities.
On Shafer-Fink-type inequality.
On similarity between topologies
Let T 1 and T 2 be topologies defined on the same set X and let us say that (X, T 1) and (X, T 2) are similar if the families of sets which have nonempty interior with respect to T 1 and T 2 coincide. The aim of the paper is to study how similar topologies are related with each other.
On Simpson's inequality and applications.
On single-valuedness of set-valued maps satisfying linear inclusions.
On Sobolev spaces of fractional order and ε-families of operators on spaces of homogeneous type
We introduce Sobolev spaces for 1 < p < ∞ and small positive α on spaces of homogeneous type as the classes of functions f in with fractional derivative of order α, , as introduced in [2], in . We show that for small α, coincides with the continuous version of the Triebel-Lizorkin space as defined by Y. S. Han and E. T. Sawyer in [4]. To prove this result we give a more general definition of ε-families of operators on spaces of homogeneous type, in which the identity operator is...
On solutions set of a multivalued stochastic differential equation
We analyse multivalued stochastic differential equations driven by semimartingales. Such equations are understood as the corresponding multivalued stochastic integral equations. Under suitable conditions, it is shown that the considered multivalued stochastic differential equation admits at least one solution. Then we prove that the set of all solutions is closed and bounded.
On some advanced integral inequalities and their applications.
On some alternative functional equations. (Short Communication).
On some applications of the ag inequality in information theory.
On some class of midconvex functions
On some conditions which imply the continuity of almost all sections
Let be an open interval, a topological space and a metric space. Some local conditions implying continuity and quasicontinuity of almost all sections of a function are shown.
On some curves in vector lattices.
On some descriptive characterizations of the -property
On Some Difference Inequalities
On some differential and integro-differential equations associated with Jaocobi's differential equation.
On some differential inequalities and the uniqueness of global semiclassical solutions to the Cauchy problem for weakly-coupled systems.
On some discrete inequalities in two independent variables
In this paper we establish some new nonlinear difference inequalities. We also present an application of one inequality to certain nonlinear sum-difference equation.
On some elliptic boundary-value problems with discontinuous nonlinearities
We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.
On some exponential means. II.