Bounded Positive Solutions for a Third Order Discrete Equation by Zeqing Liu, Ming Jia, Shin Min Kang, Young Chel Kwun

“…By using a nonlinear alternative theorem of Leray-Schauder type, we get sufficient conditions which ensure the existence of bounded positive solutions for the equation. …”
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COMPLEX METHOD OF SEEKING THE MAXIMUM OF NON-NEGATIVE FUNCTION OF TWO VARIABLES by ZHANG Jing, SHI WenPu

“…A high effective method of global optimization to nonnegative binary functions was put forward basing on the maximum modulus theorem of the analytic function of complex function,this method can simplify the optimization problem of the object function on a two-dimension bounded area as an one-dimension global optimization problem,the theory basis for the optimization method was given,and three numerical examples were given to show the effectiveness of the method. …”
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The Existence and Structure of Rotational Systems in the Circle by Jayakumar Ramanathan

“…Because our main result makes no explicit mention of a global transformation on T, we show that such a structure theorem holds for rotational systems that arise as invariant sets of any continuous transformation F:T→T with finite preimages. …”
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On the Parametric Stokes Phenomenon for Solutions of Singularly Perturbed Linear Partial Differential Equations by Stéphane Malek

“…The proof rests on the construction of neighboring sectorial holomorphic solutions to the first mentioned equation whose differences have exponentially small bounds in the perturbation parameter (Stokes phenomenon) for which the classical Ramis-Sibuya theorem can be applied. In this paper, we introduce new conditions for the Borel transform to be analytically continued in the larger sectors , where it develops isolated singularities of logarithmic type lying on some half lattice. …”
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3D limit analysis of masonry pavilion domes on octagonal drum subjected to vertical loads by Carlalberto Anselmi, Filomena Galizia, Eduardo Saetta

“…Within the framework of limit design applied to masonry structures, this paper aims at analyzing the different behavior of a pavilion dome according to the adopted construction and reinforcement technologies. By using the static theorem applied to the dome discretized in rigid macro-blocks of variable shape aligned along parallels and meridians, a mathematical model have been constructed in order to search for the load collapse multiplier, and thus to evaluate the degree of structural safety. …”
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Existence and Global Asymptotic Behavior of Singular Positive Solutions for Radial Laplacian by Imed Bachar, Habib Mâagli, Said Mesloub

“…Our method is based on the global estimates of potential functions and the Schauder fixed point theorem.…”
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Multivariate Local Polynomial Regression with Application to Shenzhen Component Index by Liyun Su

“…Based on nonlinearity and chaos of the stock index time series, multivariate local polynomial prediction methods and univariate local polynomial prediction method, all of which use the concept of phase space reconstruction according to Takens' Theorem, are considered. To fit the stock index series, the single series changes into bivariate series. …”
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Trudinger-Moser Embedding on the Hyperbolic Space by Yunyan Yang, Xiaobao Zhu

“…By our previous work (Theorem 2.3 of (Yang (2012))), for any 0<α<αn, there exists a constant τ>0 depending only on n and α such that supu∈W1,n(ℍn),∥u∥1,τ≤1∫ℍn(eαun/(n-1)-∑k=0n-2αk|u|nk/(n-1)/k!)…”
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Complex Dynamical Behaviors in a Predator-Prey System with Generalized Group Defense and Impulsive Control Strategy by Shunyi Li

“…A predator-prey system with generalized group defense and impulsive control strategy is investigated. By using Floquet theorem and small amplitude perturbation skills, a local asymptotically stable prey-eradication periodic solution is obtained when the impulsive period is less than some critical value. …”
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Positive Solutions for a Coupled System of Nonlinear Semipositone Fractional Boundary Value Problems by S. Nageswara Rao, M. Zico Meetei

“…Values of the parameters λ and μ are determined for which boundary value problem has positive solution by utilizing a fixed point theorem on cone.…”
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A New General System of Generalized Nonlinear Mixed Composite-Type Equilibria and Fixed Point Problems with an Application to Minimization Problems by Pongsakorn Sunthrayuth, Poom Kumam

“…Furthermore, we prove the strong convergence theorem of the purposed iterative scheme in a real Hilbert space. …”
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Global Stability of a Host-Vector Model for Pine Wilt Disease with Nonlinear Incidence Rate by Kwang Sung Lee, Abid Ali Lashari

“…Using a Lyapunov function and a LaSalle's invariant set theorem, we proved the global asymptotical stability of the disease-free equilibrium. …”
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Multistep Hybrid Iterations for Systems of Generalized Equilibria with Constraints of Several Problems by Lu-Chuan Ceng, Cheng-Wen Liao, Chin-Tzong Pang, Ching-Feng Wen

“…We prove strong convergence theorem for the iterative algorithm under suitable conditions. …”
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Torus quotient of the Grassmannian $G_{n,2n}$ by Nayek, Arpita, Saha, Pinakinath

“…Let $T$ be a maximal torus of $\mathrm{SL}(2n,\mathbb{C})$ which acts on $G_{n,2n}$ and $\mathcal{O}(1)$. By [10, Theorem 3.10, p. 764], $2$ is the minimal integer $k$ such that $\mathcal{O}(k)$ descends to the GIT quotient. …”
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Spectral integration and spectral theory for non-Archimedean Banach spaces by S. Ludkovsky, B. Diarra

“…We prove the non-Archimedean analog of Stone theorem. It also contains the case of C-algebras C∞(X,𝕂). …”
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Extinction and Persistence in Mean of a Novel Delay Impulsive Stochastic Infected Predator-Prey System with Jumps by Guodong Liu, Xiaohong Wang, Xinzhu Meng, Shujing Gao

“…Second, in view of comparison theorem and limit superior theory, we obtain the sufficient conditions for the extinction of this system. …”
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Existence of Three Positive Solutions for m-Point Discrete Boundary Value Problems with p-Laplacian by Yanping Guo, Wenying Wei, Yuerong Chen

“…Using a new fixed point theorem due to Avery and Peterson, we study the existence of at least three positive solutions to the above boundary value problem.…”
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Threshold dynamics of stochastic SIRSW infectious disease model with multiparameter perturbation by Zhengwen Yin, Yuanshun Tan

“…In addition to establishing the existence and uniqueness of the global positive solution of the model, we derived the threshold conditions for the extinction and persistence of the disease using the comparison theorem and It$ \hat{o} $'s formula of stochastic differential equations. …”
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The Fréchet Derivative of an Analytic Function of a Bounded Operator with Some Applications by D. S. Gilliam, T. Hohage, X. Ji, F. Ruymgaart

“…Moreover, these results are presented as corollaries to the main theorem, so that this paper also provides a short, essentially self-contained review of these aspects of perturbation theory.…”
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Probing entanglement dynamics and topological transitions on noisy intermediate-scale quantum computers by Huai-Chun Chang, Hsiu-Chuan Hsu, Yu-Cheng Lin

“…The latter two quantities can be deduced from a slow-twist operator defined in the Lieb-Schultz-Mattis theorem. The Rényi entropy is obtained using a recently developed randomized measurement scheme. …”
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