Asymptotic Behavior of the Likelihood Function of Covariance Matrices of Spatial Gaussian Processes by Ralf Zimmermann

“…The implication of this theorem on Kriging hyperparameter optimization is exposed. …”
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Relaxation Oscillation in SEIR Epidemic Models with the Intrinsic Growth Rate by Yingying Zhang, Ruohan Wang, Yanan Cai

“…By utilizing the singular perturbation theory and center manifold theorem, we extend the relaxation oscillation of three-dimensional SIR models to the four-dimensional SEIR models and prove the existence of stable relaxation oscillation with a large amplitude in the model. …”
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Initial Boundary Value Problem of the General Three-Component Camassa-Holm Shallow Water System on an Interval by Lixin Tian, Qingwen Yuan, Lizhen Wang

“…First we prove a local in time existence theorem and present a weak-strong uniqueness result. …”
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Covariant Canonical Method for Yang-Mills Theory Expressed as a Constrained BF-Like Theory by Alberto Escalante, Irving García

“…In addition, by using the results obtained in the covariant canonical approach we study the symmetries of the action, in particular we calculate its energy-momentum tensor obtaining the same tensor found for Yang-Mills theory; then we confirm those results by using Noether's theorem.…”
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Existence and Uniqueness of Positive Solutions for a Fractional Switched System by Zhi-Wei Lv, Bao-Feng Chen

“…Our results are based on a fixed point theorem of a sum operator and contraction mapping principle. …”
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Study on the constructions of optimal almost quaternary sequences with period 2q by Xiuping PENG, Huipu JI, Deliang ZHENG, Xiaoxia NIU

“…Based on the Chinese remainder theorem and cyclotomic classes of order 4,the constructions of almost quaternary sequences with period N=2q (where q is an odd prime) was studied.According to the number of “0” in the two positions y(0) and y(q),three types of optimal almost quaternary sequences with optimal balance property and out-of-phase autocorrelation values as{0,-2},{0,2,-2} and {0,-2,-2i,2i} were constructed respectively.Through these constructions,all the almost quaternary sequences constructed are balanced and optimal.These constructed sequences extend the existence range of the balanced optimal quaternary sequences and provide more optimal sequences for practical applications.…”
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Stability of Pexider Equations on Semigroup with No Neutral Element by Jaeyoung Chung

“…In this paper we prove the Hyers-Ulam stability for Pexider equation fx+y-gx-h(y)≤ϵ for all x,y∈S, where f,g,h:S→Y. Using Jung’s theorem we obtain a better bound than that usually obtained. …”
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Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations by Said Melliani, Abdelati El Allaoui, Lalla Saadia Chadli

“…The existence result is constructed using the Leray–Schauder alternative, and the uniqueness is guaranteed by Banach’s fixed-point theorem. Towards the end of this paper, an example is provided to illustrate the obtained results.…”
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Solvability of Nonlinear Integral Equations of Volterra Type by Zeqing Liu, Sunhong Lee, Shin Min Kang

“…The main tools used in the proofs are some techniques in analysis and the Darbo fixed point theorem via measures of noncompactness. The results obtained in this paper extend and improve essentially some known results in the recent literature. …”
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Multinomial subjective logic based extended trust propagation model by Jun-feng TIAN, Li-juan WU

“…In order to improve the accurateness of trust evaluation and the applicability of subjective logic,a multinomial subjective logic based extended trust propagation model (MSL-ETPM) was presented,which was composed of trust fu-sion and trust transitivity.Making the fused opinion more accurate and more in line with the intuitive judgment of human,reputation-based fusion operator of multinomial opinions takes effects of the reputation value and observation circum-stance into consideration.Trust transitivity interprets multinomial opinion transitivity as meaning that transitivity process is binomial logical opinion and transitivity information is multinomial opinion,giving trust transitivity formula of multi-nomial opinion and proving related theorem.Finally,the accuracy and adaptability of the model are put to the proof by example analysis.…”
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Analysis of Fractional Kundu-Eckhaus and Massive Thirring Equations Using a Hybridization Scheme by Muhammad Nadeem, Hanan A. Wahash

“…Since the variational iteration method involves integration, the Laplace transform involves convolution theorem in recurrence relation to derive the series solution. …”
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Existence of a Unique Solution and the Hyers–Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy Controllers by Zahra Eidinejad, Reza Saadati, Tofigh Allahviranloo, Farzad Kiani, Samad Noeiaghdam, Unai Fernandez-Gamiz

“…In this paper, we consider a conformable fractional differential equation with a constant coefficient and obtain an approximation for this equation using the Radu–Mihet method, which is derived from the alternative fixed- point theorem. Considering the matrix-valued fuzzy k-normed spaces and matrix-valued fuzzy H-Fox function as a control function, we investigate the existence of a unique solution and Hyers–Ulam-H-Fox stability for this equation. …”
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Heavy Flavour Energy Loss in Small and Large Systems by Faraday Coleridge, Horowitz W. A.

“…Finally, we consider the central limit theorem approximation, which is commonly used to model the elastic energy loss distribution as Gaussian.…”
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Comment on “Unilateral Global Bifurcation from Intervals for Fourth-Order Problems and Its Applications” by Ziyatkhan Aliyev

“…Moreover, they also establish the Sturm type comparison theorem for fourth-order problems with sign-changing weight. …”
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Hopf Bifurcation and Global Periodic Solutions in a Predator-Prey System with Michaelis-Menten Type Functional Response and Two Delays by Yunxian Dai, Yiping Lin, Huitao Zhao

“…We focus on the case with two unequal and non-zero delays present in the model, study the local stability of the equilibria and the existence of Hopf bifurcation, and then obtain explicit formulas to determine the properties of Hopf bifurcation by using the normal form method and center manifold theorem. Special attention is paid to the global continuation of local Hopf bifurcation when the delays τ1≠τ2.…”
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Periodic Problems of Difference Equations and Ergodic Theory by B. A. Biletskyi, A. A. Boichuk, A. A. Pokutnyi

“…The necessary and sufficient conditions for solvability of the family of difference equations with periodic boundary condition were obtained using the notion of relative spectrum of linear bounded operator in the Banach space and the ergodic theorem. It is shown that when the condition of existence is satisfied, then such periodic solutions are built using the formula for the generalized inverse operator to the linear limited one.…”
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Modified Cramer-Rao lower bound for symbol width estimation from a phase-shift-keying signal by DENG Zhen-miao, LIU Yu

“…The modified Cramer-Rao lower bound（MCRB） on symbol width estimation of a phase-shift-keying signal was derived.When calculating the integration of the square of dirac delta function δ（t ）, Parseval’s theorem was used to transform the computation from time-domain to frequency-domain.Then the closed-form analytical solution of MCRB for symbol width estimation was derived when the pulse shaping function was the rectangle pulse.However when the pulse shaping function was the raised cosine（RC） pulse, the MCRB is evaluated by numerical simulation.The results show that the MCRB of rectangle pulse shape is higher than that of RC pulse with the roll-off factor to be 0.5 and the dif-ference was about 1 dB.…”
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Complete Self-Shrinking Solutions for Lagrangian Mean Curvature Flow in Pseudo-Euclidean Space by Ruiwei Xu, Linfen Cao

“…In this paper, we prove a Bernstein theorem for complete self-shrinkers. As a corollary, we obtain if the Lagrangian graph M∇f is complete in Rn2n and passes through the origin then it is flat.…”
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A nonlinear second order problem with a nonlocal boundary condition by P. Amster, P. De Nápoli

“…Using an extension of Mawhin's continuation theorem for nonlinear operators, we prove the existence of a solution under a Landesman-Lazer type condition. …”
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Dynamics of an SIR Epidemic Model with Information Variable and Limited Medical Resources Revisited by Caijuan Yan, Jianwen Jia, Zhen Jin

“…We also discuss the global asymptotical stability of the endemic equilibrium by autonomous convergence theorem. A numerical analysis is given to show the effectiveness of the main results.…”
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