we prove the generalized hyers--ulam stability  of n--th order linear differential equation of the form $y^{(n)}+p_{1}(x)y^{(n-1)}+ cdots+p_{n-1}(x)y^{prime}+p_{n}(x)y=f(x)$, with condition that there exists a non--zero solution of corresponding homogeneous equation. our main results extend and improve the corresponding results obtained by many authors.

here we consider all finite non-abelian 2-generator $p$-groups ($p$ an odd prime) of nilpotency class two and study the probability of having $n^{th}$-roots of them. also we find integers $n$ for which, these groups are $n$-central.

This study evaluates the accuracy of U/Th dates for young (6 a few thousand years old) reef corals, both living and fossil, and explores strategies for refining those dates. The high precision of the U/Th method (0 1^2%) for dating young corals is well-established. Earlier studies have demonstrated the method’s accuracy for select samples of known age. However, these studies have focused on typ...

For a sample of Shanghai firms, we find th larger firms still receive higher wages. Th between managers and non-managers is po have a lower percentage of middle and high

Although some sensory ganglion cells in mature animals are catecholaminergic, most mammalian sensory neurons that express the catecholamine-synthesizing enzyme tyrosine hydroxylase (TH) do so only transiently during early gangliogenesis in vivo. The lack of TH expression at later stages appears to be due to modulation of this catecholaminergic potential. A previous study showed that the phenoty...

Recent results show that the establishment of wing melanization patterns in Drosophila depends on the veins. While several genes have been shown to play a role in melanization, changes in a single gene - the one encoding tyrosine hydroxylase - are sufficient to generate novel pigmentation patterns.

Over the past few decades, the radioisotope pair of U /Th has been widely and increasingly used to describe particle dynamics and particle export fluxes in a variety of aquatic systems. The present paper is one of five review articles dedicated to Th. It is focused on the models associated with Th whereas the companion papers (same issue) are focused on present and future methodologies and tech...

The distribution and density of tyrosine hydroxylase (TH)-immunoreactive nerves in the cat urinary bladder and proximal urethra were similar to those of glyoxylic acid fluorescent nerves. Both TH-immunoreactive and fluorescent nerve fibres markedly decreased after 6-hydroxydopamine treatment. Hence, immuno-electron histochemistry of TH was employed to investigate adrenergic termination to the m...