Let G denote a locally compact Hausdorff abelian group. Then a bounded linear operator T from L^2(G) into L^2(G) is a bounded multiplier operator if, under the Fourier transform on L^2(G ), for each function f in L^2(G), T(f) changes into a bounded function U times the Fourier transform of f. Then U is called the multiplier of T. An unbounded multiplier operator has a similar definition, but it...

A priori estimates and strong solvability results in Sobolev space W 2,p(Ω), 1 < p < ∞ are proved for the regular oblique derivative problem 8<: Pni,j=1 aij(x) ∂u ∂xi∂xj = f(x) a.e. Ω ∂u ∂l + σ(x)u = φ(x) on ∂Ω when the principal coefficients aij are VMO ∩ L∞ functions.

Preference surveys often strive to reveal the perceptions of respondents with different demographic and habitual characteristics reflect features a local community or city. However, target group can be considered priori homogenous in some cases, which requires an adjusted survey methodology. Apart from smaller sample size, aggregation technique individual preferences into global common priority...

In 1998, researchers at the University of Maryland discovered a new disease of creeping bentgrass caused by an unidentified species of Ophiosphaerella. Through morphological and molecular study, it was shown that the pathogen constituted a new species, Ophiosphaerella agrostis, and the disease was named bentgrass dead spot. Subsequently, O. agrostis was found in Texas and Florida causing dead s...

Abstract In this article, we study a class of nonlinear fractional differential equation for the existence and uniqueness positive solution Hyers–Ulam-type stability. To proceed work, utilize tools fixed point theory analysis to investigate concern theory. We convert into an integral alternative form with help Greens function. Using desired function, studied proposed equation. next section auth...

After weaning, groups of rats were fed a semi-purified diet containing fiddlehead greens (the unfuried frond of the ostrich fern Matteuccia struthiopteris), mature bracken fern (Pteridium aquilinum), or cycad meal (Cycas circinalis), or this diet plus aflatoxin B1. The groups fed 1-10% fiddlehead greens for 70-73 weeks developed no tumors, whereas those fed mature bracken fern for 67 weeks deve...