Nearly Menger covering property via bitopological spaces by Necati Can Açıkgöz, Ceren Sultan Elmalı

“…We demonstrate its interrelations with existing covering properties and construct certain equivalences between those. We also investigate various properties of nearly Menger bitopological spaces by considering it under subspaces, products, and certain type of mappings.…”
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Pinned-flags of some operations on fuzzy subgroups by B. B. Makamba, V. Murali

“…We develop algorithms to construct pinned-flags of fuzzy subgroups corresponding to these operations and prove their validity. …”
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Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy by Zhengduo Shan, Hongwei Yang, Baoshu Yin

“…With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI) hierarchy are worked out, which are different from the linear integrable couplings. …”
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THE ROLE OF UNIVERSITY IN THE DEVELOPMENT OF REGIONAL INTERACTIONS SYSTEM: FROM UNIVERSAL SCIENTIFIC-EDUCATIONAL MODEL TO EXPERT-TECHNOLOGICAL MODEL by T. Grabelnykh, E. Lesnikovskaia

“…The authors prove that in modern conditions the model of university development has changed from universal scientific-educational model to expert-technological model, which reflects the new role of university in constructing regional interactions. The authors argue that the expert-technological model of university development will allow implementing regional strategies of social development on the base of united expert infrastructure in the region, the key role in which will be that of university.…”
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(⊙, ∨)-Derivations on EMV-algebras and EBL-algebras by Tao Liu, Hongxing Liu

“…Firstly, we define the notions of (∘, ∨)-derivations on EMV-algebras and EBL-algebras, and we also introduce some classes of (∘, ∨)-derivations on EMV-algebras and EBL-algebras, such as principal (∘, ∨)-derivations and isotone (∘, ∨)-derivations. In addition, we construct some lattice structures of (∘, ∨)-derivations on EMV-algebras and give a classification of EBL-algebras with (∘, ∨)-derivations.…”
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Lump Solutions to the (3+1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation by Xifang Cao

“…First we use a direct method to construct a class of exact solutions which contain six arbitrary real constants. …”
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Basic Principles for Elaboration of Technical Requirements to Control and Protective TRB Turbine Systems by N. V. Panteley

“…It is presented a derivation of main equations required for making the calculation and the paper also cites results of their practical application at an industrial TRB (Turbine of the Republic of Belarus) turbine while constructing its protective control systems.…”
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A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation by Zhen Wang, Li Zou, Zhi Zong, Hongde Qin

“…We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. …”
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Néolibéralisation, polytopicités et techniques de l'information dans le département de la Manche by Arthur Devriendt

“…Thus, these policies construct a particular vision of rural modernity who doesn’t coincide with the practices of rural dwellers, especially the poorest minorities.…”
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Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving ψ-Hilfer Fractional Derivatives by Athasit Wongcharoen, Sotiris K. Ntouyas, Phollakrit Wongsantisuk, Jessada Tariboon

“…Examples illustrating the main results are also constructed.…”
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Pythagorean fuzzy Artinian and Noetherian ring by Meryem Fakhraoui, Idris Bakhadach, Sofyane Achik, Hamid Sadiki

“…Furthermore, this study introduces Pythagorean fuzzy Noetherian rings, delineating their intrinsic attributes, thereby enriching the comprehensive comprehension of these algebraic constructs.…”
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Almost Periodic Solution of a Discrete Commensalism System by Yalong Xue, Xiangdong Xie, Fengde Chen, Rongyu Han

“…Based on the discrete comparison theorem, the permanence of the system is obtained. Then, by constructing a new discrete Lyapunov functional, a set of sufficient conditions which guarantee the system global attractivity are obtained. …”
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A New Augmented Lagrangian Method for Equality Constrained Optimization with Simple Unconstrained Subproblem by Hao Zhang, Qin Ni

“…We propose a new method for equality constrained optimization based on augmented Lagrangian method. We construct an unconstrained subproblem by adding an adaptive quadratic term to the quadratic model of augmented Lagrangian function. …”
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On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations by Usamah S. Al-Ali, Ashfaque H. Bokhari, A. H. Kara, F. D. Zaman

“…Employing the multiplier approach, admitted conservation laws of the equation are constructed for some new, interesting cases.…”
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Permanence and Stability of an Age-Structured Prey-Predator System with Delays by Liming Cai, Xuezhi Li, Xinyu Song, Jingyuan Yu

“…By using the persistence theory for infinite-dimensional systems, the sufficient conditions for the permanence of the system are obtained. By constructing suitable Lyapunov functions and using an iterative technique, sufficient conditions are also obtained for the global asymptotic stability of the positive equilibrium of the model.…”
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An Iterative Algorithm for Solving n-Order Fractional Differential Equation with Mixed Integral and Multipoint Boundary Conditions by Jingjing Tan, Xinguang Zhang, Lishan Liu, Yonghong Wu

“…Using an iterative technique, we derive an existence result of the uniqueness of the positive solution, then construct the iterative scheme to approximate the positive solution of the equation, and further establish some numerical results on the estimation of the convergence rate and the approximation error.…”
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The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation by Guiying Chen, Xiangpeng Xin, Feng Zhang

“…An integrable variable coefficient nonlocal nonlinear Schrödinger equation (NNLS) is studied; by employing the Hirota’s bilinear method, the bilinear form is obtained, and the N-soliton solutions are constructed. In addition, some singular solutions and period solutions of the addressed equation with specific coefficients are shown. …”
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Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation by E. Thailert, S. Suksern

“…We also illustrate how to construct the generalized linearizing transformation. …”
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Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients by Juan F. Navarro, Antonio Pérez-Carrió

“…The symbolic solution is computed via the variation of parameters method and, thus, constructed over the exponential matrix of the linear system associated with the homogeneous equation. …”
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Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry Transformations by Khudija Bibi, Khalil Ahmad

“…By using these symmetry transformation groups, several group invariant solutions of considered NWS equations have been constructed. Furthermore, some more group invariant solutions are generated by using discrete symmetry transformation group. …”
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