Secret sharing in a special linear group by V. I. Yanchevskiĭ, I. A. Havarushka, G. V. Matveev

“…The development of a scheme on a new mathematical basis is intended to expand the list of these configurations, which creates more opportunities for the user in choosing the optimal option.Methods. Group theory, modular arithmetic and theory of secret sharing schemes are used.Results. …”
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Failure Probability Analysis of Coherent Systems using Intuitionistic Fuzzy Fault Tree Approach by Mintu Kumar, S. B. Singh, Monika Manglik

“…Therefore, in the current study, the intuitionistic fuzzy set theory is proposed to handle the inherent uncertainty in reliability assessments. …”
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A Method for Trust Quantification in Cloud Computing Environments by Xiaohui Li, Jingsha He, Bin Zhao, Jing Fang, Yixuan Zhang, Hongxing Liang

“…In this paper, we propose a method for trust quantification based on fuzzy comprehensive evaluation theory for cloud computing to protect user data through trust quantification of cloud services after we introduce trust ontology for cloud services and define user preference trust values. …”
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Excitons in nonlinear optical responses: shift current in MoS2 and GeS monolayers by J. J. Esteve-Paredes, M. A. García-Blázquez, A. J. Uría-Álvarez, M. Camarasa-Gómez, J. J. Palacios

“…Under radiation with intensity ~104W/cm2, the excitonic theory predicts in-gap photogalvanic currents of almost ~10 nA in sufficiently clean samples, which is typically one order of magnitude higher than the value predicted by independent-particle theory near the band edge.…”
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A Multi-Resonant based reference feedforward adaptive voltage control for Grid-Forming inverter in island mode to compensate system uncertain and harmonic distortions by Renzhi Huang, Zaijun Wu, Xueyong Xu, Xiangjun Quan, Mingfei Li, Zichen Wang, Mengnan Liu

“…Thanks to its linearization, the stability of the strategy is ensured by the mature linear control theory instead of the Lyapunov stability theory. Then, the principles of parameter selection based on the root locus method are introduced to improve the dynamic performance of this technique. …”
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The Decomposition Pathways of C₄F₇N/CO₂ Mixtures in the Presence of Organic Insulator Vapors by Sijie Liu, Xiaolong Li, Wen Wang, Zhenxin Geng, Ying Lin

“…The decomposition mechanism of C4F7N/CO2 mixture in PTFE vapor environment was investigated by using density functional theory (DFT) for quantum chemical calculation. In this study, the structure and vibration frequency of the optimized intermediates were calculated accurately, and the energy of the reactants and intermediates was evaluated by G4 theory method. …”
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Fixed-Point Results for Generalized Rational Contractions in Graphical b-Metric Spaces with Applications by Amer Hassan Albargi

“…Our results are significant generalizations and extensions of some well-known results in the existing theory. We also supply a nontrivial example to show the validity of the obtained theorems. …”
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Bifurcation of Traveling Wave Solutions of the Dual Ito Equation by Xinghua Fan, Shasha Li

“…The dual Ito equation can be seen as a two-component generalization of the well-known Camassa-Holm equation. By using the theory of planar dynamical system, we study the existence of its traveling wave solutions. …”
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Analytic Calculation of Transmission Field in Homogeneously Layered Mediums Excited by EMP by Dong-yang Sun, Wei-min Bao, Xiao-ping Li

“…The transmission coefficient and attenuation coefficient are obtained in the time-domain from general electromagnetic theory. The transmission electric field can be obtained within a few seconds by convolving the coefficients with incident EMP. …”
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Parameter estimation in a structured erythropoiesis model by Azmy S. Ackleh, Jeremy J. Thibodeaux

“…We develop a numerical method for estimating parameters in astructured erythropoiesis model consisting of a nonlinear system ofpartial differential equations. Convergence theory for the computedparameters is provided. Numerical results for estimating the growthrate of precursor cells as a function of the erythropoietinconcentration and the decay rate of erythropoietin as a function ofthe total number of precursor cells from computationally generateddata are provided. …”
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Deformation of domain and the limit of the variational eigenvalues of semilinear elliptic operators by Tetsutaro Shibata

“…The asymptotic behavior of the variational eigenvalues μ=μn(r,α) obtained by Ljusternik-Schnirelman theory is studied when the domain Ω0 is deformed continuously. …”
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On a data model associated with antitrust behaviors by Weiguang Zhou, Guangxin Wang, Jixiao Lu, Hongxin Ruan, Jun Wang, Rui Zhang

“…In this paper, we established a big data model based on the data analysis method and the endogenous structure mutation theory, and judged from the dimensions of time and space. …”
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Multiplicity of positive solutions to semilinear elliptic boundary value problems by Kenichiro Umezu

“…Our approach is based on super- and sub-solutions, and relies on the topological degree theory on the positive cones of ordered Banach spaces. …”
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Stabilization for a degenerate wave equation with drift and potential term with boundary fractional derivative control by Ibtissam Issa, Zayd Hajjej

“…Additionally, we introduce boundary fractional derivative damping at the endpoint where divergence is absent. Using semi-group theory and the multiplier method, we establish polynomial stability, with a decay rate depending upon the order of the fractional derivative.…”
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Limit Cycles for the Class of D-Dimensional Polynomial Differential Systems by Zouhair Diab, Amar Makhlouf

“…We perturb the differential system x˙1=-x2(1+x1), x˙2=x1(1+x1), and x˙k=0 for k=3,…,d inside the class of all polynomial differential systems of degree n in Rd, and we prove that at most nd-1 limit cycles can be obtained for the perturbed system using the first-order averaging theory.…”
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A mathematical model of a nuclear reactor with delay depending on the power of the reactor by Kostas Bučys, Rasa Grigolienė, Jolanta Janutėnienė, Donatas Švitra

“…The nonlinear analysis of the model was done with the help of the theory of bifurcations. There is received an approximate periodical solution of one frequency of the model and determined the `degree of harmonicity'' of the solution. …”
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Vector Meson Spectrum from Top-Down Holographic QCD by Mohammed Mia, Keshav Dasgupta, Charles Gale, Michael Richard, Olivier Trottier

“…We elaborate on the brane configuration that gives rise to a QCD-like gauge theory that confines at low energies and becomes scale invariant at the highest energies. …”
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Relaxation Oscillations and Dynamical Properties in Two Time-Delay Slow-Fast Modified Leslie-Gower Models by Yufeng Wang, Youhua Qian, Bingwen Lin

“…For the first system, we prove the existence and uniqueness of relaxation oscillation cycle through the geometric singular perturbation theory and entry-exit function. For the second system, we put forward a conjecture that the relaxation oscillation of the system is unique. …”
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Discussion for H-Matrices and It’s Application by Guichun Han, Huishuang Gao, Haitao Yang

“…In this paper, some criteria for nonsingular H-matrices are obtained by the theory of diagonally dominant matrices and the obtained result is introduced into identifying the stability of neural networks. …”
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Sequential Derivatives of Nonlinear q-Difference Equations with Three-Point q-Integral Boundary Conditions by Nittaya Pongarm, Suphawat Asawasamrit, Jessada Tariboon

“…By using Banach's contraction mapping, Krasnoselskii's fixed-point theorem, and Leray-Schauder degree theory, some new existence results are obtained. Two examples illustrate our results.…”
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