On defining the generalized functions δα(z) and δn(x) by E. K. Koh, C. K. Li

“…Finally, we use the Hilbert integral φ(z)=1πi∫−∞+∞φ(t)t−zdt where φ(t)∈D(R), to redefine δn(x) as a boundary value of δn(z−i ϵ ). The definition of δn(x) is independent of the choice of δ-sequence.…”
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Development of a novel and efficient method for synthesizing N-benzyl-substituted di-benzimidazole derivatives by Arjun Bodkhe, Dattatraya Pansare, Dnyaneshwar Karpe, Vilas Sudrik, Manohar Suryawanshi, Rahul Shinde, Shamrao Lawande

“…The procedure began with the coupling of N-methylbenzene-1,2-diamine (1) and carboxylic acid (2) using EDC·HCl and DMAP as a catalyst in an appropriate solvent. …”
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Convergence Rates for Probabilities of Moderate Deviations for Multidimensionally Indexed Random Variables by Dianliang Deng

“…For example, we obtain equivalent conditions for the convergence of the series ∑n¯b(n¯)ψ2(a(n¯))P{|Sn¯|≥a(n¯)ϕ(a(n¯))}, where a(n¯)=n11/α1⋯nd1/αd, b(n¯)=n1β1⋯ndβd, ϕ and ψ are taken from a broad class of functions. …”
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Global attractivity of positive periodic solutions for an impulsive delay periodic food limited population model by Jian Song

“…We will consider the following nonlinear impulsive delay differential equation N′(t)=r(t)N(t)((K(t)−N(t−mw))/(K(t)+λ(t)N(t−mw))), a.e. t>0, t≠tk, N(tk+)=(1+bk)N(tk), K=1,2,…, where m is a positive integer, r(t), K(t), λ(t) are positive periodic functions of periodic ω. …”
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On a Third-Order System of Difference Equations with Variable Coefficients by Stevo Stević, Josef Diblík, Bratislav Iricanin, Zdenek Šmarda

“…We show that the system of three difference equations xn+1=an(1)xn-2/(bn(1)ynzn-1xn-2+cn(1)), yn+1=an(2)yn-2/(bn(2)znxn-1yn-2+cn(2)), and zn+1=an(3)zn-2/(bn(3)xnyn-1zn-2+cn(3)), n∈N0, where all elements of the sequences an(i), bn(i), cn(i), n∈N0, i∈{1,2,3}, and initial values x-j, y-j, z-j, j∈{0,1,2}, are real numbers, can be solved. …”
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Convergence to Common Fixed Point for Generalized Asymptotically Nonexpansive Semigroup in Banach Spaces by Yali Li, Jianjun Liu, Lei Deng

“…We prove that the following implicit and modified implicit viscosity iterative schemes {xn} defined by xn=αnf(xn)+(1−αn)T(tn)xn and xn=αnyn+(1−αn)T(tn)xn, yn=βnf(xn−1)+(1−βn)xn−1 strongly converge to p∈F as n→∞ and p is the unique solution to the following variational inequality: 〈f(p)−p,j(y−p)〉≤0 for all y∈F.…”
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Two-Weight, Weak-Type Norm Inequalities for Fractional Integral Operators and Commutators on Weighted Morrey and Amalgam Spaces by Hua Wang

“…Let 0<γ<n and Iγ be the fractional integral operator of order γ, Iγfx=∫ℝnx−yγ−nfydy and let b,Iγ be the linear commutator generated by a symbol function b and Iγ, b,Iγfx=bx⋅Iγfx−Iγbfx. …”
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Nitrogen Cycling in a Norway Spruce Plantation in Denmark — A SOILN Model Application Including Organic N Uptake by Claus Beier, Henrik Eckersten, Per Gundersen

“…By addition of an extra 35 kg N ha�1 year�1, the organic N uptake is reduced to 16% of the total N uptake. …”
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X(n+1)=max{1/x(n-1),y(n)/x(n)};y(n+1)=max{1/y(n-1),x(n)/y(n)} Maksimumlu Fark Denklem Sisteminin Çözümleri by D. Şimşek, M. Eröz, B. Oğul

“…Tanım 1 : ( , ,..., ) n 1 n n 1 n s x f x x x     n = 0,1,2, … için (2) fark denkleminde x  f (x,..., x) oluyorsa xy e denge noktası denir. …”
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The leishmaniases in Kenya: A scoping review. by Grace Grifferty, Hugh Shirley, Katherine O'Brien, Jason L Hirsch, Adrienne M Orriols, Kiira Lani Amechi, Joshua Lo, Neeharika Chanda, Sarra El Hamzaoui, Jorja Kahn, Samantha V Yap, Kyleigh E Watson, Christina Curran, Amina Atef AbdelAlim, Neeloy Bose, Alissa Link Cilfone, Richard Wamai

“…Our findings also indicate minimal research on MCL (n = 1, <1%) and PKDL (n = 2, 1%). We urge researchers to renew and expand their focus on these neglected diseases in Kenya.…”
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On the class of square Petrie matrices induced by cyclic permutations by Bau-Sen Du

“…Let n≥2 be an integer and let P={1,2,…,n,n+1}. Let Zp denote the finite field {0,1,2,…,p−1}, where p≥2 is a prime. …”
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Actuaciones educativas para la convivencia en centros con alumnado inmigrante by Alejandro Martínez González, María Padrós Cuxart, Sandra Girbés Peco

“…En el presente artículo se muestran los resultados del trabajo de campo llevado a cabo en 11 centros educativos en el proyecto p lan n acional i +D+ i (2008-2011): La mejora de la convivencia y el aprendizaje en los centros educativos de primaria y secundaria con alumnado inmigrante , donde a partir de diferentes actuaciones educativas (no segregación en grupos específicos, organización de actividades de acogida, asambleas de grupo, Círculos de Convivencia o participación de familiares) que se están llevando a cabo, se está contribuyendo a la mejora de la convivencia entre el alumnado, las familias y las y los profesionales del centro educativo.…”
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On a Class of Abstract Time-Fractional Equations on Locally Convex Spaces by Marko Kostić, Cheng-Gang Li, Miao Li

“…This paper is devoted to the study of abstract time-fractional equations of the following form: Dtαnu(t)+∑i=1n−1AiDtαiu(t)=ADtαu(t)+f(t), t>0, u(k)(0)=uk, k=0,...,⌈αn⌉−1, where n∈ℕ∖{1}, A and A1,...,An−1 are closed linear operators on a sequentially complete locally convex space E,0≤α1<⋯<αn, 0≤α<αn, f(t) is an E-valued function, and Dtα denotes the Caputo fractional derivative of order α (Bazhlekova (2001)). …”
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Basins of Attraction for Two-Species Competitive Model with Quadratic Terms and the Singular Allee Effect by A. Brett, M. R. S. Kulenović

“…We consider the following system of difference equations: xn+1=xn2/B1xn2+C1yn2, yn+1=yn2/A2+B2xn2+C2yn2,  n=0, 1, …,   where B1, C1, A2, B2, C2 are positive constants and x0, y0≥0 are initial conditions. …”
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Improved Efficiency of Flexible Organic Light-Emitting Diodes by Insertion of Ultrathin SiO2 Buffer Layers by Chien-Jung Huang, Kan-Lin Chen, Po-Wen Sze, Wen-Ray Chen, Teen-Hang Meen, Shi-Lun Wu

“…The atomic force microscopy (AFM) investigation of indium tin oxide (ITO)/SiO2 topography reveals changes at the interface between SiO2 and N,N′-bis-(1-naphthl)-diphenyl-1,1′-bipheny-4,4′-diamine (NPB), resulting in ultrathin SiO2 layers being a clear advantage for a FOLED. …”
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Trayectorias educativas de éxito de estudiantes de origen inmigrante escolarizados en el sistema educativo español by Noemí Martín Casabona, Rosa Larena Fernández, Eduard Mondéjar

“…El artículo presenta parte de los resultados del trabajo de campo realizado en la investigación del p lan n acional i +D+ i (2008-2011): La mejora de la convivencia y el aprendizaje en los centros educativos de primaria y secundaria con alumnado inmigrante ; realizada por profesorado de siete universidades españolas. s e trata de cinco relatos comunicativos de vida a estudiantes de origen inmigrante que, a pesar de haberse escolarizado en el sistema educativo español en primaria o secundaria, han logrado cursar estudios superiores. …”
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On the rate of convergence of degenerate U-statistics by Olga Januškevičienė

“…We consider U-statistics of type T = n−1 ∑1 ≤ i< k ≤ n  h(Xi, Xk). Let qi,  i ≥ 1 be eigenvalues of the Hilbert-Schmidt operator associated with the kernel h(x, y) and q1 be the largest eigenvalue. …”
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Blow-up of nonradial solutions to the hyperbolic-elliptic chemotaxis system with logistic source by Baghaei, khadijeh

“…\end{equation*} under homogeneous Neumann boundary conditions in a bounded domain $ \Omega \subset \mathbb{R}^{n}, n\ge 1,$ with smooth boundary and the function $g$ is assumed to generalize the logistic source: \begin{equation*} g(s)\le a s - b s^{\gamma }\ \text{ for} \ s>0 \end{equation*} with $1<\gamma \le 2.$ For $b<\chi $ and some suitable conditions on parameters of problem, we prove that the solutions of this problem blow up in finite time. …”
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Uniqueness and Asymptotic Behavior of Positive Solutions for a Fractional-Order Integral Boundary Value Problem by Min Jia, Xin Liu, Xuemai Gu

“…We study a model arising from porous media, electromagnetic, and signal processing of wireless communication system -𝒟tαx(t)=f(t,x(t),x'(t),x”(t),…,x(n-2)(t)),  0<t<1,   x(0)=x'(0)=⋯=x(n-2)(0)=0,   x(n-2)(1)=∫01x(n-2)(s)dA(s), where n-1<α≤n,   n∈ℕ and n≥2, 𝒟tα is the standard Riemann-Liouville derivative, ∫01x(s)dA(s) is linear functionals given by Riemann-Stieltjes integrals, A is a function of bounded variation, and dA can be a changing-sign measure. …”
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Periodic Solution for a Max-Type Fuzzy Difference Equation by Changyou Wang, Jiahui Li

“…The paper is concerned with the dynamics behavior of positive solutions for the following max-type fuzzy difference equation system: xn+1=maxA/xn, A/xn−1, xn−2, n=0,1,2,…, where xn is a sequence of positive fuzzy numbers, and the parameter A and the initial conditions x−2, x−1, x0 are also positive fuzzy numbers. …”
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