Extinction in Two-Species Nonlinear Discrete Competitive System by Liqiong Pu, Xiangdong Xie, Fengde Chen, Zhanshuai Miao

“…We propose a nonlinear discrete system of two species with the effect of toxic substances. By constructing a suitable Lyapunov-type function, we obtain the sufficient conditions which guarantee that one of the components will be driven to extinction while the other will be globally attractive with any positive solution of a discrete equation. …”
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Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations by Shou-Ting Chen, Wen-Xiu Ma

“…We aim to construct exact and explicit solutions to a generalized Bogoyavlensky-Konopelchenko equation through the Maple computer algebra system. …”
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Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular by Awad A. Bakery, Elsayed A. E. Mohamed

“…We have defined the variable exponent of the Cesàro complex function space of formal power series. We have constructed the prequasi-ideal generated by s-numbers and this new space of complex functions. …”
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EDUCATIONAL ENVIRONMENT AS A FUNDAMENTAL CONDITION FOR THE DEVELOPMENT OF UNIVERSITY TEACHERS' METHODICAL COMPETENCE by Olga A. Sotnikova, Olga A. Volkova

“…This principle relates reflective, need and motivational, structural, technological, cognitive and constructive components of the methodical competence with the levels of development of organizational culture of the University. …”
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Positive Solutions for a Class of Fourth-Order p-Laplacian Boundary Value Problem Involving Integral Conditions by Yan Sun

“…The main methods in the paper are constructing an available integral operator and combining fixed point index theory. …”
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Dynamics of Fuzzy BAM Neural Networks with Distributed Delays and Diffusion by Qianhong Zhang, Lihui Yang, Jingzhong Liu

“…Constructing a new Lyapunov functional and employing inequality technique, the existence, uniqueness, and global exponential stability of the periodic oscillatory solution are investigated for a class of fuzzy bidirectional associative memory (BAM) neural networks with distributed delays and diffusion. …”
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Exponential Synchronization for Impulsive Dynamical Networks by Lijun Pan, Jinde Cao

“…We also extend the delay fractioning approach to the dynamical networks by constructing a Lyapunov-Krasovskii functional and comparing to a linear discrete system. …”
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L’écologie déséquilibrante de l’oubli chez Homo Numericus by Sung do Kim

“…The aim of this paper is to construct the problematics of the just balance between the memory and the forgetting in the digital era, which is in danger with the coming of the digital technology which memorizes everything while never forget. …”
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A Crank-Nicolson Scheme for the Dirichlet-to-Neumann Semigroup by Rola Ali Ahmad, Toufic El Arwadi, Houssam Chrayteh, Jean-Marc Sac-Epée

“…The aim of this work is to study a semidiscrete Crank-Nicolson type scheme in order to approximate numerically the Dirichlet-to-Neumann semigroup. We construct an approximating family of operators for the Dirichlet-to-Neumann semigroup, which satisfies the assumptions of Chernoff’s product formula, and consequently the Crank-Nicolson scheme converges to the exact solution. …”
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COMPETENCY-BASED APPROACH IN HIGHER EDUCATION: A MYTH AND REALITY by Vasiliy S. Senashenko, T. B. Mednikova

“…The imperfection of its constructive component is pointed out, when solving didactic problems of Russian higher education. …”
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The Role of German Diaspora in Russian-German Relations by P. I. Kasatkin, V. S. Kurske, I. A. Valiev

“…But as a whole we have to note that the Russian Germans became a constructive link between Germany and Russia.…”
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Cubical Sets and Trace Monoid Actions by Ahmet A. Husainov

“…Adjoint functors between the categories of cubical sets and trace monoid actions are constructed. These functors carry independence preserving morphisms in the independence preserving morphisms. …”
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A reagent to access methyl sulfones by Yaroslav Poplavskyi, Vasyl Ripenko, Sergei Bova, Angelina Biitseva, Yurii V. Dmitriv, Andrei A. Tolmachev, Iryna V. Sadkova, Iryna Pishel, Oleksii Grygorov, Vo Quang Huy Phan, H. V. Rasika Dias, Pavel K. Mykhailiuk

“…Analogous strategy can also be used to construct alkyl-, CHF2-, CF3- and even bicyclo[1.1.1]pentane-containing derivatives. …”
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FAST METHOD OF NON-CONTACT MICROWAVE MEASUREMENTS OF ELECTRICAL PARAMETERS OF COMPACT SAMPLES by N. A. Poklonski, A. I. Siahlo, V. T. Shnitko, V. A. Merkulov, O. M. Davidenia, A. I. Kovalev

“…The setup with a reflective microwave H101 resonator for the non-contact measurements of the electrical parameters of compact samples (the diameter less than 5 mm) is constructed. An analytical expression for calculation of the microwave power reflection coefficient by the H101 resonator with the sample being inside the resonator with respect to the dielectric permittivity and conductivity of sample is obtained. …”
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Kinetic Theory with Casimir Invariants—Toward Understanding of Self-Organization by Topological Constraints by Zensho Yoshida

“…A topological constraint, characterized by the Casimir invariant, imparts non-trivial structures in a complex system. We construct a kinetic theory in a constrained phase space (infinite-dimensional function space of macroscopic fields), and characterize a self-organized structure as a thermal equilibrium on a leaf of foliated phase space. …”
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Odd Jacobi Manifolds and Loday-Poisson Brackets by Andrew James Bruce

“…We construct a nonskew symmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. …”
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Simple Modules for Modular Lie Superalgebras W(0∣n), S(0∣n), and K(n) by Zhu Wei, Qingcheng Zhang, Yongzheng Zhang, Chunyue Wang

“…This paper constructs a series of modules from modular Lie superalgebras W(0∣n), S(0∣n), and K(n) over a field of prime characteristic p≠2. …”
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A stoichiometrically derived algal growth model and its global analysis by Xiong Li, Hao Wang

“…However, manytrophic interaction models only consider carbon limitation viaenergy flow. In this paper, we construct an algal growth model withthe explicit incorporation of light and nutrient availability tocharacterize both carbon and phosphorus limitations. …”
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Closed Int Soft -Ideals and Int Soft c--Ideals by Young Bae Jun, Kyoung Ja Lee, Eun Hwan Roh

“…Characterizations of an intersectional soft commutative -ideal are established, and a new intersectional soft c--ideal from an old one is constructed.…”
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Green’s Function of the Cauchy Problem for Equations with Dissipative Parabolicity, Negative Genus, and Variable Coefficients by Vladyslav Litovchenko, Denys Kharyna

“…Green’s function of the Cauchy problem is constructed by the method of successive approximations, and its main properties are studied for a new class of linear differential equations with dissipative parabolicity and negative genus, whose coefficients are bounded, continuous in time, and infinitely differentiable by the spatial variable of the function. …”
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