We obtain the existence and uniqueness of solutions for a class of retarded parabolic equations with superlinear perturbations. The asymptotic behavior result is studied by using the pullback attractor framework.

We present a method for the correction of motion artifacts present in two- and three-dimensional in vivo endoscopic images produced by rotary-pullback catheters. This method can correct for cardiac/breathing-based motion artifacts and catheter-based motion artifacts such as nonuniform rotational distortion (NURD). This method assumes that en face tissue imaging contains slowly varying structure...

Lotka-Volterra systems have been extensively studied by many authors, both in the autonomous and non-autonomous cases. In previous papers the time asymptotic behaviour as t → ∞ has been considered. In this paper we also consider the “pullback” asymptotic behaviour which roughly corresponds to observing a system “now” that has already been evolving for a long time. For a competitive system that ...

There are well-known characterizations of the hereditary quotient maps in the category of topological spaces, (that is, of quotient maps stable under pullback along embeddings), as well as of universal quotient maps (that is, of quotient maps stable under pullback). These are precisely the so-called pseudo-open maps, as shown by Arhangel’skii, and the bi-quotient maps of Michael, as shown by Da...

Atherosclerosis is a vascular pathology a ecting the arterial walls, generally located in speci c vessel sites, such as bifurcations. In this paper, for the rst time, a fully automatic approach for the detection of bifurcations in IVUS pullback sequences is presented. The method identi es the frames and the angular sectors in which a bifurcation is visible. This goal is achieved by applying a c...

Electromagnetic gyrokinetic simulation of high temperature plasma is required to predict confinement in magnetic fusion devices and has posed challenges for existing codes. In this paper, we demonstrate successful global the ion gradient-driven mode-kinetic ballooning mode transition a toroidal test case using mixed variables/pullback transformation (MV/PT) scheme with particle-in-cell codes XG...

The construction of attractors a dissipative difference equation is usually based on compactness assumptions. In this paper, we replace them with contractivity assumptions under which the pullback and forward are identical. As consequence, degenerate to unique bounded entire solutions. an application, investigate integrodifference equations popular models in theoretical ecology.