Excitation Wavelength-Dependent Fluorescence of a Lanthanide Organic Metal Halide Cluster for Anti-Counterfeiting Applications

The achievement of significant photoluminescence (PL) in lanthanide ions (Ln³⁺) has primarily relied on host sensitization, where energy is transferred from the excited host material to the Ln³⁺ ions. However, this luminous mechanism involves only one optical antenna, namely the host material, which limits the accessibility of excitation wavelength-dependent (Ex-De) PL. Consequently, the wider application of Ln³⁺ ions in light-emitting devices is hindered. In this study, we present an organic–inorganic compound, (DMA)₄LnCl₇ (DMA⁺=[CH₃NH₂CH₃]⁺, Ln³⁺=Ce³⁺, Tb³⁺), which serves as an independent host lattice material for efficient Ex-De emission by doping it with trivalent antimony (Sb³⁺). The pristine (DMA)₄LnCl₇ compounds exhibit high luminescence, maintaining the characteristic sharp emission bands of Ln³⁺ and demonstrating a high PL quantum yield of 90–100 %. Upon Sb³⁺ doping, the compound exhibits noticeable Ex-De emission with switchable colors. Through a detailed spectral study, we observe that the prominent energy transfer process observed in traditional host-sensitized systems is absent in these materials. Instead, they exhibit two independent emission centers from Ln³⁺ and Sb³⁺, each displaying distinct features in luminous color and radiative lifetime. These findings open up new possibilities for designing Ex-De emitters based on Ln³⁺ ions.     

锆镁磷脂膜色谱固定相的制备及其在评价药物-膜相互作用中的应用

基于锆基质与磷脂之间强烈的路易斯酸碱作用,制备了锆镁磷脂膜色谱固定相,并使用红外光谱、X射线光电子能谱对该色谱固定相进行了表征;使用与体内环境类似的生理缓冲液体系为流动相,评价了该模拟生物膜色谱固定相预测药物膜渗透性的能力,结果表明药物在锆镁磷脂膜色谱中的保留(log Kmbm)与表观渗透率(log Papp)在预测药物的膜渗透性、跨膜吸收等方面具有非常好的相关性,相关系数为0.970,斜率接近1。通过理论推导,引入了直观、方便的热力学指标吉布斯自由能差值（Δ(ΔG°)）对药物-膜之间的相互作用强弱进行了评价。     

Periodic solutions for a nonlinear (q,p)-Laplacian dynamical system with impulsive effects

In this paper, some existence theorems are obtained for periodic solutions of a nonlinear (q,p)-Laplacian dynamical system with impulsive effects by using the least action principle and mountain pass theorem.     

名优产品与劣质产品，孰优孰劣——消费品市场的博弈分析

由于信息不对称,买者通过逆向选择,在消费品市场上形成’伪劣产品”驱逐“名优产品”,类似于货币史上“劣币驱逐良币”,从而伪劣产品泛滥,而在信息畅通的情况下,消费者的选择是购买名优产品,不买劣质产品,厂商的选择是生产名优产品,或者长期生产劣质产品,但产品无人问津.     

The equilibrium generalized assignment problem and genetic algorithm

The well-known generalized assignment problem (GAP) is to minimize the costs of assigning n jobs to m capacity constrained agents (or machines) such that each job is assigned to exactly one agent. This problem is known to be NP-hard and it is hard from a computational point of view as well. In this paper, follows from practical point of view in real systems, the GAP is extended to the equilibrium generalized assignment problem (EGAP) and the equilibrium constrained generalized assignment problem (ECGAP). A heuristic equilibrium strategy based genetic algorithm (GA) is designed for solving the proposed EGAP. Finally, to verify the computational efficiency of the designed GA, some numerical experiments are performed on some known benchmarks. The test results show that the designed GA is very valid for solving EGAP.     

Center conditions and bifurcation of limit cycles at degenerate singular points in a quintic polynomial differential system

The center problem and bifurcation of limit cycles for degenerate singular points are far to be solved in general. In this paper, we study center conditions and bifurcation of limit cycles at the degenerate singular point in a class of quintic polynomial vector field with a small parameter and eight normal parameters. We deduce a recursion formula for singular point quantities at the degenerate singular points in this system and reach with relative ease an expression of the first five quantities at the degenerate singular point. The center conditions for the degenerate singular point of this system are derived. Consequently, we construct a quintic system, which can bifurcates 5 limit cycles in the neighborhood of the degenerate singular point. The positions of these limit cycles can be pointed out exactly without constructing Poincaré cycle fields. The technique employed in this work is essentially different from more usual ones. The recursion formula we present in this paper for the calculation of singular point quantities at degenerate singular point is linear and then avoids complex integrating operations.     

元件疲劳可靠性估算方法

对近年来国内外在元件疲劳可靠性估算方法方面所做的研究作了系统的回顾和讨论,按安全余量方程将其分为三类：累积损伤模型、乘余强度模型和疲劳寿命模型,并对这三种模型的特点及局限性作了分析论述,对元件疲劳可靠性分析的发展趋势作了讨论。     

Synchronization of fractional‐order delayed neural networks with hybrid coupling

This article presents new theoretical results on the synchronization for a class of fractional‐order delayed neural networks with hybrid coupling that contains constant coupling and discrete‐delay coupling. This is the first attempt to investigate the synchronization problem of fractional‐order coupled delayed neural networks. Based on the fractional‐order Lyapunov stability theorem and Kronecker product properties, sufficient criteria are established to ensure the fractional‐order coupled neural network to achieve synchronization. Numerical simulations are given to illustrate the correctness of the theoretical results. © 2015 Wiley Periodicals, Inc. Complexity 21: 106–112, 2016     

Multiplicity results for a class of boundary value problems with impulsive effects

In this paper we study a class of boundary value problems with impulsive effects. Under some natural assumptions, by using Morse theory in combination with the minimax arguments, we establish some new results on the existence of multiple nontrivial solutions for the problems. Recent results from the literature are improved and extended.