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Full-Text Articles in Physical Sciences and Mathematics
Cyclodextrin-Active Natural Compounds In Food Applications: A Review Of Antibacterial, Bingren Tian, Yumei Liu
Cyclodextrin-Active Natural Compounds In Food Applications: A Review Of Antibacterial, Bingren Tian, Yumei Liu
Turkish Journal of Chemistry
Many natural compounds have excellent activity against different bacteria. However, their food use to inhibit the bacteria is often limited by poor water solubility, or instability to light, heat, oxygen, and other environmental factors. Cyclodextrin combines with these natural compounds could not only overcome these shortcomings, but also increase the antibacterial ability of active compounds. This review focuses on the following aspects of active natural compounds in cyclodextrin-based food: the preparation, food applications, and their possible antibacterial mechanisms of different systems. Both cyclodextrin and its derivatives are able to selectively combine with different guest molecules, such as terpenes, phenols and …
Existence Of Nonnegative Solutions For Discrete Robin Boundary Value Problems With Sign-Changing Weight, Yan Zhu
Turkish Journal of Mathematics
In this paper,~we are concerned with the following discrete problem first $$\left\{ \begin{array}{ll} -\Delta^{2}u(t-1)=\lambda p(t)f(u(t)), &t\in[1,N-1]_{\mathbb{Z}},\\ \Delta u(0)=u(N)=0,\\ \end{array} \right. $$ where $N>2$~is an integer,~$\lambda>0$~is a parameter,~$p:[1,N-1]_{\mathbb{Z}}\rightarrow\mathbb{R}$~is a sign-changing function,~$f:[0,+\infty)\rightarrow[0,+\infty)$~is a continuous and nondecreasing function.~$\Delta u(t)=u(t+1)-u(t)$,~$\Delta^{2}u(t)=\Delta(\Delta u(t))$.~By using the iterative method and Schauder's fixed point theorem,~we will show the existence of nonnegative solutions to the above problem. Furthermore, we obtain the existence of nonnegative solutions for discrete Robin systems with indefinite weights.