Suchergebnisse

In this paper we investigate the homogeneous linear differential equation vi(t) = A(t)v(t) and the semi-linear differential equation vi(t) = A(t)v(t) + g(t, v(t)) in Banach space X, in which A : R → L(X) is a strongly continuous function, g : R × X → X is continuous and satisfies ϕ-Lipschitz condition. The first we characterize the exponential dichotomy of the associated evolution family with the homogeneous linear differential equation by space pair (E, E∞), this is a Perron type result. Applying the achieved results, we establish the robustness of exponential dichotomy. The next we show the existence of stable and unstable manifolds for the semi-linear differential equation and prove that each a fiber of these manifolds is differentiable submanifold of class C1.
Mathematics Subject Classification (2010): 34C45, 34D09, 34D10.
Received 14 June 2021; Accepted 09 September 2022

Establishing and maintaining a highly-trained pharmaceutical workforce is crucial for serving the healthcare needs of the population. Globally, various factors have been associated with the decision of students leaving high school to pursue an undergraduate degree in pharmacy, however, this topic has not yet been explored in Vietnam. To explore the motivations of first-year undergraduate pharmacy students to study pharmacy at university. A cross-sectional study was conducted on 428 first-year pharmacy students enrolled in undergraduate pharmacy programs from across all universities in Can Tho, Vietnam, including one public university (193 students) and two private universities (235 students), from November 2022 to February 2023. Exploratory factor analysis identified five underlying factors associated with the choice of students to study pharmacy, with internal consistency assessed using Cronbach's Alpha (α): personal factors (α = .86), career (α = .88), advice (α = .74), reputation (α = .84), and promotion (α = .76). Of these factors, personal factors had the greatest impact (mean = 4.13), while the least influential factor was promotion (mean = 2.92). Compared to public university students, private university students were more influenced by career ( p = .019), advice ( p = .002), and promotion ( p < .001) when making the decision to study pharmacy. This study identifies the factors associated with the decision to pursue pharmacy education. These findings may be of interest to educational institutions addressing how they attract students and meet the workforce needs of the pharmaceutical industry and healthcare system.