The Hautus-Type Inequality for Abstract Fractional Cauchy Problems and Its Observability by Li Chen-Yu

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Convergence Analysis of Parallel S-Iteration Process for System of Generalized Variational Inequalities by D. R. Sahu, Shin Min Kang, Ajeet Kumar

“…We consider a new system of generalized variational inequalities (SGVI) defined on two closed convex subsets of a real Hilbert space. …”
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Some exact inequalities of Hardy-Littlewood-Polya type for periodic functions by Laith Emil Azar

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On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales by Qiao-Luan Li, Wing-Sum Cheung, Xu-Yang Fu

“…We establish some new Lyapunov-type inequalities for two-dimensional nonlinear dynamic systems on time scales. …”
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Some New Generalized Fractional Newton’s Type Inequalities for Convex Functions by Jarunee Soontharanon, Muhammad Aamir Ali, Hüseyin Budak, Pinar Kösem, Kamsing Nonlaopon, Thanin Sitthiwirattham

“…The main edge of the newly established inequalities is that these can be turned into several new and existing inequalities for different fractional integrals like Riemann-Liouville fractional integrals, k-fractional integrals, Katugampola fractional operators, conformable fractional operators, Hadamard fractional operators, and fractional operators with the exponential kernel without proving one by one. …”
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Quantitative spectral inequalities for the anisotropic Shubin operators and applications to null-controllability by Alphonse, Paul, Seelmann, Albrecht

Subjects: “…Spectral inequalities…”
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A Generalized Nonlinear Gronwall-Bellman Inequality with Maxima in Two Variables by Yong Yan

“…This paper deals with a generalized form of nonlinear retarded Gronwall-Bellman type integral inequality in which the maximum of the unknown function of two variables is involved. …”
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Well-Posedness by Perturbations of Generalized Mixed Variational Inequalities in Banach Spaces by Lu-Chuan Ceng, Ching-Feng Wen

“…We consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi (1995, 1996) for a minimization problem, to a class of generalized mixed variational inequalities in Banach spaces, which includes as a special case the class of mixed variational inequalities. …”
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A note on two-weight inequalities for multiple Hardy-type operators by Alexander Meskhi

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On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces by Lu-Chuan Ceng, Yeong-Cheng Liou, Ching-Feng Wen, Hui-Ying Hu, Long He, Yun-Ling Cui

“…We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. …”
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Health inequities among persons with disabilities: a global scoping review by Emre Umucu, Andrew A. Vernon, Deyu Pan, Sang Qin, Guillermina Solis, Rebecca Campa, Beatrice Lee

Subjects: “…health inequities…”
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Regional inequality and well-being of households in Kazakhstan: district- level analysis by A. Kudebayeva, A. Sätre

“…The main significance of the paper is that   by applying Generalized Entropy indexes of inequality the study finds that rural inequality declines in that period. …”
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Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems by Bashir Ali

“…We prove a new strong convergence theorem for an element in the intersection of the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of some variational inequality problems, and the set of solutions of some equilibrium problems using a new iterative scheme. …”
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α-Well-Posedness for Mixed Quasi Variational-Like Inequality Problems by Jian-Wen Peng, Jing Tang

“…The concepts of α-well-posedness, α-well-posedness in the generalized sense, L-α-well-posedness and L-α-well-posedness in the generalized sense for mixed quasi variational-like inequality problems are investigated. We present some metric characterizations for these well-posednesses.…”
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A Generalized Gradient Projection Filter Algorithm for Inequality Constrained Optimization by Wei Wang, Shaoli Hua, Junjie Tang

“…The first is that the amount of computation is lower, since the gradient matrix only needs to be computed one time at each iterate. The second is that the paper uses the filter technique instead of any penalty function for constrained programming. …”
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On some new N-independent-variable discrete inequalities of the Gronwall type by En Hao Yang

Subjects: “…inequalities of the Gronwall type…”
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New Nonlinear Conditions and Inequalities for the Existence of Coincidence Points and Fixed Points by Wei-Shih Du, Shao-Xuan Zheng

“…Some new fixed point theorems for nonlinear maps are established. …”
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Gender Inequalities in Academic Achievement among Internally Displaced children in Colombia by Adriana Carolina Silva-Arias, Jaime Andrés Sarmiento-Espinel, Laura Victoria González-Cogollos

“…Revista Latinoamericana en Ciencias Sociales, Niñez y Juventud…”
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Jørgensen’s Inequality and Algebraic Convergence Theorem in Quaternionic Hyperbolic Isometry Groups by Huani Qin, Yueping Jiang, Wensheng Cao

“…We obtain an analogue of Jørgensen's inequality in quaternionic hyperbolic space. As an application, we prove that if the r-generator quaternionic Kleinian group satisfies I-condition, then its algebraic limit is also a quaternionic Kleinian group. …”
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Some Generalized Gronwall-Bellman Type Impulsive Integral Inequalities and Their Applications by Yuzhen Mi

“…This paper investigates some generalized Gronwall-Bellman type impulsive integral inequalities containing integration on infinite intervals. …”
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