The Weighted Fermat Triangle Problem by Yujin Shen, Juan Tolosa

“…We completely solve the generalized Fermat problem: given a triangle 𝑃1, 𝑃2, 𝑃3 and three positive numbers 𝜆1, 𝜆2, 𝜆3, find a point 𝑃 for which the sum 𝜆1𝑃1𝑃+𝜆2𝑃2𝑃+𝜆3𝑃3𝑃 is minimal. …”
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A simple analysis of vaccination strategies for rubella by Bruno Buonomo

“…We consider an SEIR epidemic model with vertical transmission introduced by Li, Smith and Wang, [23], and apply optimal control theory to assess the effects of vaccination strategies on the model dynamics. …”
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Quadruple Fixed Point Theorems under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces by Erdal Karapınar, Wasfi Shatanawi, Zead Mustafa

“…We prove a number of quadruple fixed point theorems under 𝜙-contractive conditions for a mapping 𝐹∶𝑋4→𝑋 in ordered metric spaces. …”
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Compact Operators on the Bergman Spaces with Variable Exponents on the Unit Disc of C by Dieudonne Agbor

“…We study the compactness of some classes of bounded operators on the Bergman space with variable exponent. …”
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Stochastic Linear Quadratic Control Problem on Time Scales by Yingjun Zhu, Guangyan Jia

“…Furthermore, we give an example to illustrate the theoretical results.…”
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A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients by Cecilia De Zan, Pierpaolo Soravia

“…We study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. …”
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A k-Dimensional System of Fractional Finite Difference Equations by Dumitru Baleanu, Shahram Rezapour, Saeid Salehi

“…We present an example in order to illustrate our results.…”
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Heterogeneous Fundamentalists in a Continuous Time Model with Delays by Luca Gori, Luca Guerrini, Mauro Sodini

“…We develop a continuous time model with heterogeneous fundamentalists, imitators, and discrete time delays. …”
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Positive Solutions of a Generalized Nonautonomous Fractional Differential System by Mohammed S. Abdo, Heba Y. Zahran, El Sayed Yousef, Emad E. Mahmoud, Abdel-Haleem Abdel-Aty

“…In this work, we investigate the existence and uniqueness of positive solutions to a system of nonautonomous fractional differential equations. …”
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Hyperbolic Cross Truncations for Stochastic Fourier Cosine Series by Zhihua Zhang

“…Moreover we propose a kind of Fourier cosine expansions with polynomials factors such that the corresponding Fourier cosine coefficients decay very fast. …”
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De la ressource « bois » à la forêt multifonctionnelle ? by Camille Rivière

“…We will show that this tool is deeply rooted in property ideology. …”
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A Classification of Fourth-Order Dissipative Differential Operators by Tao Wang, Ji-jun Ao, Mei-chun Yang

“…And under certain conditions, we prove that these dissipative operators have no real eigenvalues.…”
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Global solution to the complex short pulse equation by Liju Yu, Jingjun Zhang

“…This paper deals with global well-posedness of the solution to the complex short pulse equation. We first use regularized technology and the approximation argument to prove the local existence and uniqueness of this equation. …”
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Global Attractivity for Lasota–Wazewska-Type System with Patch Structure and Multiple Time-Varying Delays by Zhiwen Long, Yanxiang Tan

“…Finally, we provide an example to illustrate the feasibility of the theoretical results.…”
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Separable functors in corings by J. Gómez-Torrecillas

“…We develop some basic functorial techniques for the study of the categories of comodules over corings. …”
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Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System by Amar Debbouche, Dumitru Baleanu

“…We introduce a new concept called implicit evolution system to establish the existence results of mild and strong solutions of a class of fractional nonlocal nonlinear integrodifferential system, then we prove the exact null controllability result of a class of fractional evolution nonlocal integrodifferential control system in Banach space. …”
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Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation by Shun-Tang Wu, Hsueh-Fang Chen

“…We consider a nonlinear viscoelastic wave equation , with nonlinear boundary damping in a bounded domain . …”
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Focusing Hemispherical Waves by Colin J. R. Sheppard

“…We also investigate 4Pi focusing and the focusing of vortex waves. …”
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Working With Others: Coping with Criticism by Marilyn K. Lesmeister

“… Whether a volunteer, community committee member, an employee, a member of a family, or a supervisor, we can cope with criticism effectively and learn from it. …”
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Permutation binomials by Charles Small

“…A polynomial f over a finite feld F is a permutation polynomial if the mapping F→F defined by f is one-to-one. We are concerned here with binomials, that is, polynomials of the shape f=aXi+bXj+c, i>j≥1. …”
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