Positive Solutions to n-Order Fractional Differential Equation with Parameter by Jing-jing Tan, Cong Tan, Xueling Zhou

“…We not only obtain the existence and uniqueness of solutions about this BVP but also construct an iterative scheme to approximate the solution which is important for practical application. …”
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Cards of fixed points of some Lotka-Volterra operators by Dilfuza B. Eshmamatova, Mokhbonu A. Tadzhieva

“…The paper also proposes a new approach to constructing an oriented card of fixed points.…”
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On combinational contractions with applications by Mohammed Shehu Shagari, Manzuma Mustapha, Hala H. Taha, Sarah Aljohani, Nabil Mlaiki

“…The existence and uniqueness conditions of a fixed point of such contractions are investigated. An example is constructed to demonstrate the validity of the obtained results. …”
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Asymptotic Behavior of a Stochastic Delayed Model for Chronic Hepatitis B Infection by Bo Wu, Jianwen Jia

“…In this paper, a stochastic delayed model is constructed to describe chronic hepatitis B infection with HBV DNA-containing capsids. …”
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Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation by Khadijo Rashid Adem, Chaudry Masood Khalique

“…In addition, the conservation laws for the KP-BBM equation are constructed by using the multiplier method.…”
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A Note on the Generalized Camassa-Holm Equation by Yun Wu, Ping Zhao

“…We get a blow-up scenario and obtain the global existence of strong and weak solutions under suitable assumptions, respectively. Then, we construct the periodic peaked solutions and apply them to prove the ill-posedness in Hs with s<3/2.…”
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Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential Equations by Saeed M. Ali, Wasfi Shatanawi, Mohammed D. Kassim, Mohammed S. Abdo, S. Saleh

“…The obtained results are demonstrated by constructing numerical examples.…”
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Stability of a Three-Species Cooperative System with Time Delays and Stochastic Perturbations by Jinxing Zhao, Yuanfu Shao

“…We establish the sufficient criteria of the asymptotical stability and stability in probability by constructing a neutral stochastic differential equation and some suitable functionals. …”
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Global Finite-Time Stabilization for a Class of Uncertain High-Order Nonlinear Systems by Jian Wang, Jing Xie, Fangzheng Gao

“…By using the methods of adding a power integrator, a continuous state feedback controller is successfully constructed to guarantee the global finite-time stability of the resulting closed-loop system. …”
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Formation of publicly supported climate in Russia, conducive to сompliance with the rules and norms of moral-ethic code of moral behavior of preschool and school age children ........ by R. V. Gavva

“…In this article, an analysis of the individual forms of upbringing, maintenance and stimulation of constructive and rational behavior of children and adolescents in the conditions of modem reality, presenting severe challenges has been given.…”
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Convergence Theorems for Fixed Points of Multivalued Strictly Pseudocontractive Mappings in Hilbert Spaces by C. E. Chidume, C. O. Chidume, N. Djitté, M. S. Minjibir

“…A Krasnoselskii-type iteration sequence {xn} is constructed and shown to be an approximate fixed point sequence of T; that is, limn→∞d(xn,Txn)=0 holds. …”
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Dynamical Analysis of a Stochastic Predator-Prey Model with an Allee Effect by Feng Rao

“…We present and analyze a modified Holling type-II predator-prey model that includes some important factors such as Allee effect, density-dependence, and environmental noise. By constructing suitable Lyapunov functions and applying Itô formula, some qualitative properties are given, such as the existence of global positive solutions, stochastic boundedness, and the global asymptotic stability. …”
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Permanence, Extinction, and Almost Periodic Solution of a Nicholson's Blowflies Model with Feedback Control and Time Delay by Haihui Wu, Shengbin Yu

“…By applying the comparison theorem of the differential equation and fluctuation lemma and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence, extinction, and existence of a unique globally attractive positive almost periodic solution of the system are obtained. …”
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MODELING OF PROCESSES OF REPAIR OF ENERGY EQUIPMENT by A. Ievlev

“…Use of the modern device of network planning is the cornerstone of approach. The constructed model of network planning allows to choose optimum working hours of the power enterprise at repair and reconstruction of the equipment that in turn will allow to increase efficiency of adoption of administrative decisions.…”
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A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method by Jun-kang Tian, Yan-min Liu

“…A less conservative stability criterion is obtained by constructing some new augmented Lyapunov–Krasovskii functionals, which are given in terms of linear matrix inequalities. …”
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Some New Notions of Bases for the Range of Operators in Hilbert Spaces by Hessam Hosseinnezhad

“…In the sequel, we give some characterizations of these  sequences. Next, we construct some new controlled bases with operator theory tools.  …”
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Generalized Perron complements in diagonally dominant matrices by Qin Zhong, Na Li

“…Lu in 2002, and it was used to construct an algorithm for estimating the boundary of the spectral radius. …”
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Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays by Zixin Liu, Shu Lü, Shouming Zhong, Mao Ye

“…Based on Lyapunov stable theory, by constructing a new Lyapunov-Krasovskii function, some new stable criteria are obtained. …”
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Minimal Wave Speed in an Integrodifference System of Predator-Prey Type by Baoju Sun, Fuzhen Wu

“…This article studies the minimal wave speed of traveling wave solutions in an integrodifference predator-prey system that does not have the comparison principle. By constructing generalized upper and lower solutions and utilizing the theory of asymptotic spreading, we show the minimal wave speed of traveling wave solutions modeling the invasion process of two species by presenting the existence and nonexistence of nonconstant traveling wave solutions with any wave speeds.…”
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Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls by Hui Zhang, Feng Feng, Bin Jing, Yingqi Li

“…We firstly obtain the permanence of the system by utilizing the theory of difference equation. By means of constructing a suitable Lyapunov function, sufficient conditions are obtained for the existence of a unique positive almost periodic solution which is uniformly asymptotically stable. …”
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