Sharp Efficiency for Vector Equilibrium Problems on Banach Spaces by Si-Huan Li, Qiang Wang, Shu Xu, Jun-Xiang Wang

“…As applications, some necessary optimality conditions and sufficient optimality conditions for local sharp efficient solutions of a vector optimization problem with an abstract constraint and a vector variational inequality are obtained, respectively.…”
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On Equality of Pay for Women and Men with Equal Qualifications by Willi Koll

“…Abstract Pay inequality is a key element that prevents equal treatment of women and men. …”
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The Rate at Which the Energy of Solutions for a Class of p-Laplacian Wave Equation Decays by Soufiane Mokeddem, Khaled Ben Walid Mansour

“…For this end we use the multiplier method combined with nonlinear integral inequalities given by Martinez; the proof is based on the construction of a special weight function that depends on the behavior of σ.…”
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Some Common Fixed Point Theorems in Partial Metric Spaces by Erdal Karapınar, Uğur Yüksel

“…Many problems in pure and applied mathematics reduce to a problem of common fixed point of some self-mapping operators which are defined on metric spaces. One of the generalizations of metric spaces is the partial metric space in which self-distance of points need not to be zero but the property of symmetric and modified version of triangle inequality is satisfied. …”
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Arithmetic-Analytic Representation of Peano Curve by Guangjun Yang, Xiaoling Yang, Ping Wang

“…We proved that the curve passes each point in a unit square and that the coordinate functions satisfy a Hölder inequality with index α=1/2, which implies that the curve is everywhere continuous and nowhere differentiable.…”
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On the conversion of Indians and Heathens by D. Britz

“… Read a review of Ineke Loots – Joke Spaans (eds.), Johannes Hoornbeeck (1617-1666), On the conversion of Indians and Heathens. …”
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Stability of Stochastic Reaction-Diffusion Recurrent Neural Networks with Unbounded Distributed Delays by Chuangxia Huang, Xinsong Yang, Yigang He, Lehua Huang

“…Lyapunov's functional method, M-matrix properties, some inequality technique, and nonnegative semimartingale convergence theorem are used in our approach. …”
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Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term by S. Manikandan, V. Muthulakshmi, S. Harikrishnan, Porpattama Hammachukiattikul

“…Our approach is determined from the implementation of generalized Riccati transformation, some properties of conformable time-scale fractional calculus, and certain mathematical inequalities. Also, we extend the study of oscillation to conformable fractional Euler-type dynamic equation. …”
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Null controllability of a nonlinear population dynamics problem by Oumar Traore

“…Using a derivation of Leray-Schauder fixed point theorem and Carleman inequality for the adjoint system, we show that for all given initial density, there exists an internal control acting on a small open set of the domain and leading the population to extinction.…”
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Oscillation of a Class of Fractional Differential Equations with Damping Term by Huizeng Qin, Bin Zheng

“…Based on a certain variable transformation, the fractional differential equations are converted into another differential equations of integer order with respect to the new variable. Then, using Riccati transformation, inequality, and integration average technique, some new oscillatory criteria for the equations are established. …”
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Fixed-Point and STILS Method to Solve a Coupled System of Transport Equations by Daouda Sangare

“…The nonstationary advective transport equation is transformed to a “stationary” one by integrating space and time. Using a variational formulation and an adequate Poincare inequality, we prove the existence and the uniqueness of the solution. …”
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New Results for Periodic Solution of High-Order BAM Neural Networks with Continuously Distributed Delays and Impulses by Chang-Bo Yang, Ting-Zhu Huang, Jin-Liang Shao

“…By M-matrix theory, inequality techniques, and Lyapunov functional method, certain sufficient conditions are obtained to ensure the existence, uniqueness, and global exponential stability of periodic solution for a new type of high-order BAM neural networks with continuously distributed delays and impulses. …”
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Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse by Zhenguo Luo, Liping Luo

“…The conditions we obtained are weaker than the previously known ones and can be easily reduced to several special cases. …”
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Practical Stability for Conformable Time-Delay Systems by Maher Kharrat, Hamdi Gassara, Mohamed Rhaima, Lassaad Mchiri, A. Ben Makhlouf

“…These conditions are expressed in the form of linear matrix inequalities (LMI) which could be solved by using solvers in LMI Toolbox of MATLAB. …”
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Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods by Teodor M. Atanacković, Sanja Konjik, Ljubica Oparnica, Dušan Zorica

“…The restrictions on coefficients are derived by using entropy inequality for isothermal processes. In addition, we study waves in a rod of finite length modelled by a linear fractional constitutive equation. …”
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Dynamics of Fuzzy BAM Neural Networks with Distributed Delays and Diffusion by Qianhong Zhang, Lihui Yang, Jingzhong Liu

“…Constructing a new Lyapunov functional and employing inequality technique, the existence, uniqueness, and global exponential stability of the periodic oscillatory solution are investigated for a class of fuzzy bidirectional associative memory (BAM) neural networks with distributed delays and diffusion. …”
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Exponential Synchronization for Impulsive Dynamical Networks by Lijun Pan, Jinde Cao

“…By using impulsive differential inequality and the Kronecker product techniques, some criteria are obtained to guarantee the exponential synchronization for dynamical networks. …”
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Strong Convergence of Viscosity Iteration Methods for Nonexpansive Mappings by Jong Soo Jung

“…Certain different control conditions for viscosity iterative scheme are given and strong convergence of viscosity iterative scheme to a solution of a ceratin variational inequality is established.…”
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Observability Estimate for the Fractional Order Parabolic Equations on Measurable Sets by Guojie Zheng, M. Montaz Ali

“…The observation region is F×ω, where ω and F are measurable subsets of Ω and (0,T), respectively, with positive measure. This inequality is equivalent to the null controllable property for a linear controlled fractional order parabolic equation. …”
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Convex dynamics in Hele-Shaw cells by Dmitri Prokhorov, Alexander Vasil'ev

“…Next we consider injection through a single finite source and study some isoperimetric inequalities that correspond to the convex and α-convex dynamics.…”
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