Solvability for a Fractional Order Three-Point Boundary Value System at Resonance by Zigen Ouyang, Hongliang Liu

“…Using some techniques of inequalities, a completely new method is incorporated. …”
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Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator by Waleed Al-Rawashdeh

“…Moreover, we obtain the classical Fekete–Szegö inequality of functions belonging to this class.…”
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Global Attractivity for Lasota–Wazewska-Type System with Patch Structure and Multiple Time-Varying Delays by Zhiwen Long, Yanxiang Tan

“…Based on the fluctuation lemma and some differential inequality techniques, we prove that the positive equilibrium is a global attractor of the addressed system with small time delay. …”
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Synchronization of Switched Complex Bipartite Neural Networks with Infinite Distributed Delays and Derivative Coupling by Qiuxiang Bian, Jinde Cao, Jie Wu, Hongxing Yao, Tingfang Zhang, Xiaoxu Ling

“…A new model of switched complex bipartite neural network (SCBNN) with infinite distributed delays and derivative coupling is established. …”
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Stability Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying Delays by Chuangxia Huang, Xinsong Yang, Yigang He

“…With the help of Lyapunov method, stochastic analysis, and inequality techniques, a set of new suffcient conditions on pth moment exponential stability for the considered system is presented. …”
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Existence Results of Random Impulsive Integrodifferential Inclusions with Time-Varying Delays by Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy

“…Our study is based on the Martelli fixed point theorem, Pachpatte’s inequality, and the fixed point theorem due to Covitz and Nadler. …”
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Complete γ-th Moment Convergence for Weighted Sums Under WOD Setup by Qian Zhang, Yi Wu

“…By utilizing the Rosenthal-type maximal moment inequality and truncation method, we mainly investigate the complete γ-th moment convergence for weighted sums of widely orthant dependent random variables in this paper. …”
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Finite Time Stability of 2D Fractional Hyperbolic System with Time Delay by Abdellatif Ben Makhlouf, Hassen Arfaoui, Salah Boulaaras, Slim Dhahri

“…By using generalized Gronwall’s inequality, sufficient conditions for the finite time stability (FTS) of two-dimensional fractional hyperbolic differential system with time delay are given. …”
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Controlling Chaos in Permanent Magnet Synchronous Motor Control System via Fuzzy Guaranteed Cost Controller by Yi-You Hou

“…Based on Lyapunov stability theory and linear matrix inequality (LMI) technique, a state feedback controller is proposed to stabilize the PMSM systems. …”
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El Buen Vivir como alternativa al desarrollo para América Latina by Cubillo-Guevara, A.P., Hidalgo-Capitán, A.L., García-Álvarez, S.

“…In this article we show the theoretical-regulatory basis of Good Living, understood as a transformation proposal of Latin American socioeconomic systems that aims to overcome the problems of bad development (alienation, inequality and unsustainability). So to achieve the objectives of identity, equity and sustainability, we propose a political strategy of the creation of a plurinational, post-capitalist and biocentric society.…”
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Input-to-State Stability for Dynamical Neural Networks with Time-Varying Delays by Weisong Zhou, Zhichun Yang

“…By employing the Lyapunov-Krasovskii functional method and linear matrix inequalities (LMIs) technique, some new sufficient conditions ensuring the input-to-state stability (ISS) property of the nonlinear network systems are obtained. …”
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New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings by Yaqin Zheng, Jinwei Shi

“…In the present paper, we firstly propose a new iterative method involving sunny nonexpansive retractions for pseudocontractions in Banach spaces. …”
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Spectral Theory from the Second-Order q-Difference Operator by Lazhar Dhaouadi

“…As application, we give an analogue of the Poincare inequality. We introduce the Zeta function for the operator Δq and we formulate some of its properties. …”
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Granular media equation with double-well external landscape: limiting steady state by Tugaut, Julian

“…To do so, we use functional inequalities, Laplace method and McKean–Vlasov diffusion (which corresponds to the probabilistic interpretation of the granular media equation).…”
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Uniqueness and Novel Finite-Time Stability of Solutions for a Class of Nonlinear Fractional Delay Difference Systems by Danfeng Luo, Zhiguo Luo

“…This paper focuses on the uniqueness and novel finite-time stability of solutions for a kind of fractional-order nonlinear difference equations with time-varying delays. Under some new criteria and by applying the generalized Gronwall inequality, the new constructive results have been established in the literature. …”
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Roma Eterna? Roman rule explains regional well-being divides in Germany by Martin Obschonka, Fabian Wahl, Michael Fritsch, Michael Wyrwich, P. Jason Rentfrow, Jeff Potter, Samuel D. Gosling

“…In light of persistent regional inequalities in adaptive outcomes such as health, well-being, and related personality traits, psychological research is increasingly adopting a historical perspective to understand the deeper roots of these patterns. …”
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Fourth-Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine Functions by Farah Zulfiqar, Sarfraz Nawaz Malik, Mohsan Raza, Md. Shajib Ali

“…This article deals with the upper bound of fourth-order Hankel and Toeplitz determinants for the convex functions which are defined by using the sine function. The main tools in this study are the coefficient inequalities for the class P of functions with positive real parts. …”
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Periodic Solutions for Duffing Type p-Laplacian Equation with Multiple Constant Delays by Hong Zhang, Junxia Meng

“…Using inequality techniques and coincidence degree theory, new results are provided concerning the existence and uniqueness of periodic solutions for the Duffing type p-Laplacian equation with multiple constant delays of the form (φp(x′(t)))′+Cx′(t)+g0(t,x(t))+∑k=1ngk(t,x(t-τk))=e(t). …”
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Bounds of Solutions of Integrodifferential Equations by Zdeněk Šmarda

“…Some new integral inequalities are given, and bounds of solutions of the following integro-differential equation are determined: x'(t)-F(t,x(t),∫0tk(t,s,x(t),x(s))ds)=h(t), x(0)=x0, where h:R+→R, k:R+2×R2→R, F:R+×R2→R are continuous functions, R+=[0,∞).…”
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Boundedness and Stability for Discrete-Time Delayed Neural Network with Complex-Valued Linear Threshold Neurons by Chengjun Duan, Qiankun Song

“…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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