In this note, we describe the generator of the modulus semigroup of the C0-semigroup associated with the delay equation { u′(t) = Au(t) + Lut, t > 0, u(0) = x ∈ R, u0 = f ∈ L(−h, 0;R) , in the Banach lattice R × L(−h, 0;R). MCS 2000: 34K06

As one of the significant phenomena in earthquake geotechnical engineering, liquefaction can cause severe damages. A number of factors play a role in the occurrence of liquefaction such as magnitude of earthquake, void ratio, relative density, and fines content percentage. The impact of building construction overburdens on liquefaction is of paramount importance. The present study was aimed at ...

Today, during the life of an open pit mine, million tons of materials, including waste and ore, are displacing by truck fleets. In the case of a shallow ore deposit, which is located up to 300 meters to the ground surface, depending on preliminary equipment size and capacity, it will take three to five years to remove overburden and waste rocks to expose the ore body. In that period, the main w...

An analytic study of two nonlinear variants of the (2+1)-dimensional Camassa-Holm-KP equation is presented in this paper. The (G'/G)-expansion method is employed to obtain exact travelling wave solutions of the equations. The solutions gained from the proposed method have been verified with those obtained by the sine-cosine method and the tanh method. More importantly, other new and more genera...

Background: Cimex lectularius (bed bug) are insects abundantly found in hot, temperate areas. This study is related to the outbreak of Cimex lectularius in a construction site around Polour in Amol, Iran. This cross-sectional study has examined 182 prefabricated houses made of intermodal containers [Conex] converted to a temporary housing, in a construction site.Methods...

The 27 December 1722 Algarve earthquake destroyed a large area in southern Portugal generating a local tsunami that inundated the shallow areas of Tavira. It is unclear whether its source was located onshore or offshore and, in any case, what was the tectonic source responsible for the event. We analyze available historical information concerning macroseismicity and the tsunami to discuss the m...

Considerable mathematical effort has gone into studying sequences of points in the interval [O,l> which are evenly distributed, in the sense that certain intervals contain roughly the correct percentages of the first n points. This paper explores the related notion in which a sequence is evenly distributed if its first n points split a given circle into intervals which are roughly equal in leng...