Positive Solution of a Nonlinear Fractional Differential Equation Involving Caputo Derivative by Changyou Wang, Haiqiang Zhang, Shu Wang

“…This paper is concerned with a nonlinear fractional differential equation involving Caputo derivative. By constructing the upper and lower control functions of the nonlinear term without any monotone requirement and applying the method of upper and lower solutions and the Schauder fixed point theorem, the existence and uniqueness of positive solution for the initial value problem are investigated. …”
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Boundedness and Stability for Discrete-Time Delayed Neural Network with Complex-Valued Linear Threshold Neurons by Chengjun Duan, Qiankun Song

“…The discrete-time delayed neural network with complex-valued linear threshold neurons is considered. By constructing appropriate Lyapunov-Krasovskii functionals and employing linear matrix inequality technique and analysis method, several new delay-dependent criteria for checking the boundedness and global exponential stability are established. …”
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A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation by Fiza Zafar, Nusrat Yasmin, Saima Akram, Moin-ud-Din Junjua

“…We construct a new general class of derivative free n-point iterative methods of optimal order of convergence 2n-1 using rational interpolant. …”
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Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield Criterion by S. I. Senashov, A. Yakhno

“…In the plane case conservation laws are used to construct characteristics for the Cauchy problem. For the system of the plane strain, the conservation laws are used to solve the free boundary problem for any convex smooth contour loaded with constant normal and zero tangential stresses.…”
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Alternative ways of teaching algorithms by Valentina Dagienė

“…The basic algorithmical constructions: variables, assignment, conditional statements, loops, procedure are described. …”
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TRANSLATIONAL ENHANCERS FOR PLANT GENE ENGINEERING by A. V. Kochetov, E. A. Filipenko, O. G. Smirnova, V. K. Shumny

“…It is well known that transgene expression strongly depends on the genetic construct design. In particular, 5′-UTR is an important element, as it influences mRNA translation efficiency and the protein synthesis rate. …”
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Applications of Magnetohydrodynamic Couple Stress Fluid Flow between Two Parallel Plates with Three Different Kernels by Imran Siddique, Ali Akgül, Hafte Amsalu Kahsay, Teklay Hailay Tsegay, Kahsay Godifey Wubneh

“…The governing equations for the problem are constructed with the fractal-fractional differential operators. …”
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Generalized Green's functions for higher order boundary value matrix differential systems by R. J. Villanueva, L. Jodar

“…In this paper, a Green's matrix function for higher order two point boundary value differential matrix problems is constructed. By using the concept of rectangular co-solution of certain algebraic matrix equation associated to the problem, an existence condition as well as an explicit closed form expression for the solution of possibly not well-posed boundary value problems is given avoiding the increase of the problem dimension.…”
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Sensitivity to Pain Traumatization: A Higher-Order Factor Underlying Pain-Related Anxiety, Pain Catastrophizing and Anxiety Sensitivity among Patients Scheduled for Major Surgery by Valery Kleiman, Hance Clarke, Joel Katz

“…The first is an emerging conceptualization regarding the nature of the hierarchical organization of major pain-related anxiety constructs. The second is the theoretical rationale and empirical evidence linking pain and symptoms of post-traumatic stress disorder.…”
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Phase Transfer Catalysis Assisted Thorpe Reaction for the Synthesis of 3-Aminothiophene-2-carboxylates by R. D. Shah

“…Thorpe cyclization constructing synthetically important methyl or ethyl 3-amino-4-arylthiophene-2-carboxylates has been studied using eco friendly phase transfer catalysis technique. 3-Amino-4-arylthiophene-2-carboxylates have been synthesized from 3-hydroxy-2-arylacrylonitriles and thioglycolates under different solid-liquid phase-transfer conditions.…”
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Solving Abel’s Type Integral Equation with Mikusinski’s Operator of Fractional Order by Ming Li, Wei Zhao

“…The concept of the inverse of Mikusinski’s operator of fractional order is introduced for constructing a representation of the solution to the integral equation of Abel’s type. …”
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New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions by Lizhen Wang, Qing Huang, Yanmei Di

“…New nonlinear systems admitting infinitely dimensional centerless Virasoro-type symmetry algebra are constructed. Taking one of them as an example, we present some group-invariant solutions to one of the new model systems.…”
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Permanence and Almost Periodic Solution for an Enterprise Cluster Model Based on Ecology Theory with Feedback Controls on Time Scales by Yuanhong Zhi, Zunling Ding, Yongkun Li

“…Applying the comparison theorem of dynamic equations on time scales and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence and the existence of uniformly asymptotically stable almost periodic solution of the system are obtained.…”
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Les genres récrits n° 1 by Daniel Elmiger

“…In certain texts, a footnote makes an explicit statement about forms or constructions that are used, e. g. generically used masculine forms. …”
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MODELLING AND OPTIMIZATION OF PORTABLE SUPERVISION THE DEVICE OF BY MEANS OF ANALYSIS OF RIGIDITY OF ITS DESIGN IN THE ENVIRONMENT OF Pro/ENGINEER SAPR by R. V. Feodortsau, A. V. Fufaev, A. A. Bolotin

“…The 3D model of the portable device of supervision using SAPR Pro/ENGINEER is constructed. By means of the module of the engineering analysis built in this package the mechanical analysis of rigidity of a product design is carried out. …”
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Smooth Approximations of Global in Time Solutions to Scalar Conservation Laws by V. G. Danilov, D. Mitrovic

“…We construct global smooth approximate solution to a scalar conservation law with arbitrary smooth monotonic initial data. …”
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La ville à l’écran : esthétique du spectaculaire et du tentaculaire dans Metropolis de Fritz Lang et Brazil de Terry Gilliam by Raphaëlle Costa de Beauregard

“…This paper addresses the city as a cultural construct in Metropolis (Fritz Lang, 1928) and Brazil (Terry Gilliam, 1985): first as a dream space for the development of futurist architecture, then as a privileged screen-space for chiaroscuro and the German expressionist context, and its transposition in Technicolor, and third as the locus for an irretrievable metamorphosis of the human species, particularly in the depiction of Woman as a "femme fatale".…”
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On the Dynamics of a Nonautonomous Predator-Prey Model with Hassell-Varley Type Functional Response by Yan Zhang, Shujing Gao, Kuangang Fan

“…Moreover, the global attractivity of the model is discussed by constructing a Lyapunov function. Numerical simulations which support our theoretical analysis are also given.…”
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The Painlevé Tests, Bäcklund Transformation and Bilinear Form for the KdV Equation with a Self-Consistent Source by Yali Shen, Fengqin Zhang, Xiaomei Feng

“…In order to further prove its integrality, we give its bilinear form and construct its bilinear Bäcklund transformation by the Hirota's bilinear operator. …”
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Characterizations of Probability Distribution by Some Sequential Relative Reliability Measures: An Application of Completeness in a Hilbert Space by Mansour Shrahili, Mohamed Kayid

“…The reliability quantities of the mean residual life, the vitality function, and the survival function are considered to construct the main characteristics of distributions.…”
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