Positive solutions for a class of singular boundary-value problems.
Sequences with bounded l.c.m. of each pair of terms, III
The additive complements of primes and Goldbach's problem
We extend two results of Ruzsa and Vu on the additive complements of primes.
Sequences with bounded l.c.m. of each pair of terms II
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...
A new global optimization algorithm for solving generalized geometric programming.
The optimal perturbation bounds for the weighted Moore-Penrose inverse.
On the index of length four minimal zero-sum sequences
Let G be a finite cyclic group. Every sequence S over G can be written in the form where g ∈ G and , and the index ind(S) is defined to be the minimum of over all possible g ∈ G such that ⟨g⟩ = G. A conjecture says that every minimal zero-sum sequence of length 4 over a finite cyclic group G with gcd(|G|,6) = 1 has index 1. This conjecture was confirmed recently for the case when |G| is a product of at most two prime powers. However, the general case is still open. In this paper, we make some...
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