Existence of three positive solutions to nonlinear boundary value problems.
Almost-periodic weak solutions of second-order neutral delay-differential equations with piecewise constant argument.
On the spectrum of almost periodic solution of second-order neutral delay differential equations with piecewise constant of argument.
The equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous -strongly accretive operators in uniformly smooth Banach spaces.
Fixed point theorems for densifying mappings and compact mappings.
On nonunique fixed point theorems.
Rational modules and higher order Cauchy transforms.
Modulus of Approximate Continuity for R(X).
An Approximate Taylor's Theorem for R(X).
Hall algebras of two equivalent extriangulated categories
For any positive integer , let be a linearly oriented quiver of type with vertices. It is well-known that the quotient of an exact category by projective-injectives is an extriangulated category. We show that there exists an extriangulated equivalence between the extriangulated categories and , where and are the two extriangulated categories corresponding to the representation category of and the morphism category of projective representations of , respectively. As a by-product,...
Stable tubes in extriangulated categories
Let be a semibrick in an extriangulated category. If is a -semibrick, then the Auslander-Reiten quiver of the filtration subcategory generated by is . If is a -cycle semibrick, then is .
A note on k-c-semistratifiable spaces and strong -spaces
Recall that a space is a c-semistratifiable (CSS) space, if the compact sets of are -sets in a uniform way. In this note, we introduce another class of spaces, denoting it by k-c-semistratifiable (k-CSS), which generalizes the concept of c-semistratifiable. We discuss some properties of k-c-semistratifiable spaces. We prove that a -space is a k-c-semistratifiable space if and only if has a function which satisfies the following conditions: (1) For each , and for each . (2) If a...
The basic differential equations of self-anchored cable-stayed suspension bridge.
Variability regions of close-to-convex functions
M. Biernacki gave in 1936 concrete forms of the variability regions of z/f(z) and zf'(z)/f(z) of close-to-convex functions f for a fixed z with |z|<1. The forms are, however, not necessarily convenient to determine the shape of the full variability region of zf'(z)/f(z) over all close-to-convex functions f and all points z with |z|<1. We propose a couple of other forms of the variability regions and see that the full variability region of zf'(z)/f(z) is indeed the complex plane minus the origin....
Some estimates for commutators of Riesz transform associated with Schrödinger type operators
Let be a Schrödinger operator and let be a Schrödinger type operator on , where is a nonnegative potential belonging to certain reverse Hölder class for . The Hardy type space is defined in terms of the maximal function with respect to the semigroup and it is identical to the Hardy space established by Dziubański and Zienkiewicz. In this article, we prove the -boundedness of the commutator generated by the Riesz transform , where , which is larger than the...
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