Seismic data are commonly modeled by a high-frequency single scattering approximation. This amounts to a linearization in the medium coefficient about a smooth background. The discontinuities are contained in the medium perturbation. The wave solutions in the background medium admit a geometrical optics representation. Here we describe the wave propagation in the background medium by a one-way ...

In this paper we are concerned with the existence and uniqueness of positive solutions for an operator equation x = Ax+ λBx on an order Banach space, where A and B are nonlinear operators and λ is a parameter. By properties of cones we obtain that there exists a λ∗ > 0 such that the operator equation has a unique positive solution which is increasing in λ for λ ∈ [0, λ∗], and further, we give a...

This study aims to verify the impacts of flexible manufacturing capabilities and logistics capabilities, with mass customization as a dual mediator, on the performances of Taiwan photoelectric companies. Respondents are from department supervisors and managers. Structural equation modeling (SEM) is used to fit the overall pattern of the structural model and measurement mode in this study and fo...

We introduce the concept of Stieltjes integral of an operator-valued function with respect to the spectral measure associated with a normal operator. We give sufficient conditions for the existence of this integral and find bounds on its norm. The results obtained are applied to the Sylvester and Riccati operator equations. Assuming that the entry C is a normal operator, the spectrum of the ent...

We present asymptotic-preserving numerical schemes for the semiconductor Boltzmann equation efficient in the high field regime. A major challenge in this regime is that there may be no explicit expression of the local equilibrium which is the main component of classical asymptotic-preserving schemes. Inspired by [14] and [13], our idea is to penalize the stiff collision term by a ‘classical’ BG...

In this paper, an inverse nodal problem for a second-order differential equation having a chemical potential on a finite interval is investigated. First, we estimate the nodal points and nodal lengths of differential operator. Then, we show that the potential can be uniquely determined by a dense set of nodes of the eigenfunctions.

We introduce the notion of Stieltjes integral with respect to the spectral measure corresponding to a normal operator. Sufficient conditions for the existence of this integral are given, and estimates for its norm are established. The results are applied to operator Sylvester and Riccati equations. Assuming that the spectrum of a closed densely defined operator A does not have common points wit...