Existence of Positive Solution for BVP of Nonlinear Fractional Differential Equation by Jun-Rui Yue, Jian-Ping Sun, Shuqin Zhang

“…We consider the following boundary value problem of nonlinear fractional differential equation: (CD0+αu)(t)=f(t,u(t)),  t∈[0,1],  u(0)=0,   u′(0)+u′′(0)=0,  u′(1)+u′′(1)=0, where α∈(2,3] is a real number,  CD0+α denotes the standard Caputo fractional derivative, and f:[0,1]×[0,+∞)→[0,+∞) is continuous. …”
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Matrix Transformations and Disk of Convergence in Interpolation Processes by Chikkanna R. Selvaraj, Suguna Selvaraj

“…Let 𝐴𝜌 denote the set of functions analytic in |𝑧|<𝜌 but not on |𝑧|=𝜌(1<𝜌<∞). …”
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Multiplicity Results for p-Laplacian with Critical Nonlinearity of Concave-Convex Type and Sign-Changing Weight Functions by Tsing-San Hsu

“…Here, 0∈Ω is a bounded smooth domain in ℝ𝑁,Δ𝑝 denotes the 𝑝-Laplacian operator, 1≤𝑞<𝑝<𝑁,𝑝∗=𝑁𝑝/(𝑁−𝑝),𝜆 is a positive real parameter, and 𝑓,𝑔 are continuous functions on Ω which are somewhere positive but which may change sign on Ω. …”
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Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets by Ramazan İnal, Ayşegül Keten Çopur

“…It explores some properties of these operator classes derived from linear operators associated with these sets and examines their interconnections. Additionally, it denotes that these classes are extensions of the related linear operators. …”
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Des origines indo-européennes de shall by Dennis Philps

“…On a linguistic level, this hypothesis is based on the assumption that the IndoEuropean perfect denotes a state resulting from the completion of an earlier event. …”
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Essential Norms of Stević–Sharma Operators from General Banach Spaces into Zygmund-Type Spaces by M. A. Bakhit

“…A Stević–Sharma operator denoted by Tψ1,ψ2,φ is a generalization product of multiplication, differentiation, and composition operators. …”
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Kazakh khans of the 15th–17th centuries in the scientific heritage of Shigabutdin Marjani by Atygayev N.A.

“…He also uses Turkic names (Ulu[g] yuz, Orta yuz, Kichi yuz) to denote the Kazakh yuzs. In general, the scientific works of Sh. …”
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Further Results on a Curious Arithmetic Function by Long Chen, Kaimin Cheng, Tingting Wang

“…Let p be an odd prime number and n be a positive integer. Let vpn, N∗, and Q+ denote the p-adic valuation of the integer n, the set of positive integers, and the set of positive rational numbers, respectively. …”
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An Equivalent Condition and Some Properties of Strong J-Symmetric Ring by Shun Xu

“…Let JR denote the Jacobson radical of a ring R. We say that ring R is strong J-symmetric if, for any a,b,c∈R, abc∈JR implies bac∈JR. …”
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New Subclass of Convex Functions Concerning Infinite Cone by Fatolah Hasanvand, Shahram Najafzadeh, Ali Ebadian

“…We introduce a new subclass of convex functions as follows:\[  \mathcal{K}_{IC}:=\left\{f\in \mathcal{A}:{\rm  Re}\left(1+\frac{zf''(z)}{f'(z)}\right)>\left|f'(z)-1\right|,\quad  |z|<1\right\},\]where $\mathcal{A}$ denotes the class of analytic and normalized functions in the unit disk $|z|<1$. …”
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The Gender Order in Sumak Kawsay and Suma Qamaña. A Look at the Current Debates in Bolivia and Ecuador by Silvia Vega Ugalde

“…Sumak kawsay and suma qamaña are concepts proposed by the original peoples in Andean countries that have been adopted in the Bolivian and Ecuadorian constitutions to denote a new economic and political model for society and state, and a new vision with respect to nature. …”
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On locally conformal Kähler space forms by Koji Matsumoto

“…An m-dimensional locally conformal Kähler manifold (l.c.K-manifold) is characterized as a Hermitian manifold admitting a global closed l-form αλ (called the Lee form) whose structure (Fμλ,gμλ) satisfies ∇νFμλ=−βμgνλ+βλgνμ−αμFνλ+αλFνμ, where ∇λ denotes the covariant differentiation with respect to the Hermitian metric gμλ, βλ=−Fλϵαϵ, Fμλ=Fμϵgϵλ and the indices ν,μ,…,λ run over the range 1,2,…,m.…”
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The Exact Distribution of the Condition Number of Complex Random Matrices by Lin Shi, Taibin Gan, Hong Zhu, Xianming Gu

“…Let λ1>λ2>…>λn>0 and σ1>σ2>…>σn>0 denote the eigenvalues of the W and singular values of Gm×n, respectively. …”
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Schrödinger equations in noncylindrical domains: exact controllability by G. O. Antunes, M. D. G. da Silva, R. F. Apolaya

“…Set Ωt={x∈ℝn;x=K(t)y,for all y∈Ω}, whose boundary is Γt. We denote by Q^ the noncylindrical domain given by Q^=∪0<t<T{Ωt×{t}}, with the regular lateral boundary Σ^=∪0<t<T{Γt×{t}}. …”
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On Locating-Dominating Set of Regular Graphs by Anuwar Kadir Abdul Gafur, Suhadi Wido Saputro

“…For every vertex v∈VG, we denote by NGv the set of neighbours of v in G. The locating-dominating number of a graph G is defined as the minimum cardinality of W ⊆ VG such that every two distinct vertices u,v∈VG\W satisfies ∅≠NGu∩W≠NGv∩W≠∅. …”
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A Fast Algorithm for Computing Binomial Coefficients Modulo Powers of Two by Mugurel Ionut Andreica

“…The proposed method has an preprocessing time, after which a binomial coefficient with can be computed modulo in time. denotes the time complexity of multiplying two -bit numbers, which can range from to or better. …”
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A Nice Separation of Some Seiffert-Type Means by Power Means by Iulia Costin, Gheorghe Toader

“…Seiffert has defined two well-known trigonometric means denoted by 𝒫 and 𝒯. In a similar way it was defined by Carlson the logarithmic mean ℒ as a hyperbolic mean. …”
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Les « clubs de troc » argentins : un microcosme monétaire Credito dépendant du macrocosme Peso by Pepita Ould-Ahmed

“…This paper examines a concrete case of local currency systems, the Argentine “barter clubs” developed from 1995. “Barter club” denotes a place of market exchange, within which economic transactions are paid for using an internal paper currency, the “credito”, issued by the founders of these clubs and not convertible with the official currency. …”
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On alpha-close-to-convex functions of order beta by M. A. Nasr

“…Let Mβ(α)[α≥0   and   β≥0] denote the class of all functionsf(z)=z+∑n=2∞anznanalytic in the unit disc U with f′(z)f(z)/z≠0 and which satisfy for z=reiθ∈U the condition ∫θ1θ2Re{(1−α)zf′(z)f(z)+α(1+zf″(z)f′(z))}dθ>−βπ for all θ2>θ1. …”
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The Ordering of the Unicyclic Graphs with respect to Largest Matching Root with Given Matching Number by Luozhong Gong, Weijun Liu

“…The matching roots of a simple connected graph G are the roots of the matching polynomial which is defined as MGx=∑k=0n/2−1kmG,kxn−2k, where mG,k is the number of the k matchings of G. Let λ1G denote the largest matching root of the graph G. In this paper, among the unicyclic graphs of order n, we present the ordering of the unicyclic graphs with matching number 2 according to the λ1G values for n≥11 and also determine the graphs with the first and second largest λ1G values with matching number 3.…”
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