A Study on -Quasi-Cauchy Sequences by Hüseyin Çakalli, Huseyin Kaplan

“…Recently, the concept of -ward continuity was introduced and studied. In this paper, we prove that the uniform limit of -ward continuous functions is -ward continuous, and the set of all -ward continuous functions is a closed subset of the set of all continuous functions. …”
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Structure of rings with certain conditions on zero divisors by Hazar Abu-Khuzam, Adil Yaqub

“…Let R be a ring such that every zero divisor x is expressible as a sum of a nilpotent element and a potent element of R:x=a+b, where a is nilpotent, b is potent, and ab=ba. We call such a ring a D*-ring. We give the structure of periodic D*-ring, weakly periodic D*-ring, Artinian D*-ring, semiperfect D*-ring, and other classes of D*-ring.…”
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General boundedness theorems to some second order nonlinear differential equation with integrable forcing term by Allan Kroopnick

“…We then extend the result to the equation x″+c(t,x,x′)+a(t,x)=e(t). …”
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Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications by Ruyun Ma, Ruipeng Chen, Yanqiong Lu

“…We develop the method of lower and upper solutions for a class of elliptic systems with nonlinear boundary conditions. …”
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New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions by Lizhen Wang, Qing Huang, Yanmei Di

“…With the aid of symbolic computation by Maple, we extend the application of Virasoro-type symmetry prolongation method to coupled systems with two-component nonlinear equations. …”
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A Version of Uncertainty Principle for Quaternion Linear Canonical Transform by Mawardi Bahri, Resnawati, Selvy Musdalifah

“…We also discuss the generalization of the Hausdorff-Young inequality in the QLCT domain.…”
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Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input by Xinyu Song, Zhong Zhao

“…At the same time we can find that the nutrient and microorganism are permanent if the impulsive period T is less than the critical value.…”
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Echo: A crowd-sourced Romanian speech dataset. by Remus-Dan Ungureanu, Mihai Dascalu

“…We publicly release both the dataset and the Whisper-based baseline model as open-source.…”
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Minimal Wave Speed in a Delayed Lattice Dynamical System with Competitive Nonlinearity by Fuzhen Wu

“…By constructing upper and lower solutions appealing to the exponential ordering, we prove the existence of traveling wave solutions if the wave speed is not smaller than some threshold. …”
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The Burkill-Cesari Integral on Spaces of Absolutely Continuous Games by F. Centrone, A. Martellotti

“…We prove that the Burkill-Cesari integral is a value on a subspace of AC and then discuss its continuity with respect to both the BV and the Lipschitz norm. …”
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Global Stability for a Predator-Prey Model with Dispersal among Patches by Yang Gao, Shengqiang Liu

“…We investigate a predator-prey model with dispersal for both predator and prey among n patches; our main purpose is to extend the global stability criteria by Li and Shuai (2010) on a predator-prey model with dispersal for prey among n patches. …”
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Weighted Vector-Valued Holomorphic Functions on Banach Spaces by Enrique Jordá

“…We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. …”
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On Solution of Boundary Value Problems via Weak Contractions by Gopi Prasad, Hüseyin Işik

“…We also highlight the close connections of the fixed point results equipped with a binary relation to that of graph related metrical fixed point results. …”
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Investigation of a Spin-0 Massive Charged Particle Subject to a Homogeneous Magnetic Field with Potentials in a Topologically Trivial Flat Class of Gödel-Type Space-Time by Faizuddin Ahmed

“…In this paper, we investigate the relativistic quantum dynamics of spin-0 massive charged particle subject to a homogeneous magnetic field in the Gödel-type space-time with potentials. …”
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Generalized Rough Γ-Hyperideals in Γ-Semihypergroups by Naveed Yaqoob, Shamsul Haq

“…Davvaz (2008) introduced the concept of set-valued homomorphism and T-rough sets in a group. In this paper, we consider the set-valued homomorphism T on Γ-semihypergroup H to interpret the lower and upper approximations. …”
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Multiplicative Perturbations of Convoluted C-Cosine Functions and Convoluted C-Semigroups by Fang Li, Huiwen Wang, Jun Zhang

“…Moreover, we obtain some new results for perturbations on C-cosine functions (resp., C-semigroups). …”
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Les territorialités émergentes des migrants marocains by Sabrina Marchandise, Mathieu Renault

“…We deliver here the first elements of results, at once from the representation of a corpus of Web sites, the localization of sites and addressees and also by a reflection on the contribution of the representations of social networks on Web.…”
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Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate by Bo You, Shan Ma

“…We will first prove the existence of - and -absorbing sets for the three-dimensional primitive equations of large-scale atmosphere in log-pressure coordinate and then prove the existence of -absorbing set by the use of the elliptic regularity theory. …”
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Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems by Zhan-Dong Mei, Ji-Gen Peng, Jing-Huai Gao

“…We present the notion of convoluted fractional C-semigroup, which is the generalization of convoluted C-semigroup in the Banach space setting. …”
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Structures and Low Dimensional Classifications of Hom-Poisson Superalgebras by Qingcheng Zhang, Chunyue Wang, Zhu Wei

“…Hom-Poisson superalgebras can be considered as a deformation of Poisson superalgebras. We prove that Hom-Poisson superalgebras are closed under tensor products. …”
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