Stability of the n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Non-Archimedean Normed Spaces by Yang-Hi Lee, Soon-Mo Jung, Themistocles M. Rassias

“…We will prove the stability of the functional equation 2f(∑i=1nxi)+∑1≤i,j≤n,i≠jf(xi-xj)=(n+1)∑i=1nf(xi)+(n-1)∑i=1nf(-xi) in non-Archimedean normed spaces.…”
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Fuzzy Stability of an n-Dimensional Quadratic and Additive Functional Equation by Yang Hi Lee, Soon-Mo Jung

“…We will investigate a fuzzy version of stability for the functional equation 2f(∑i=1nxi)+∑1≤i,j≤n,i≠jf(xi-xj)=(n+1)∑i=1nf(xi)+(n-1)∑i=1nf(-xi) in the sense of Mirmostafaee and Moslehian.…”
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Short-Term Effects of Biogas Digestates and Pig Slurry Application on Soil Microbial Activity by J. Abubaker, K. Risberg, E. Jönsson, A. S. Dahlin, H. Cederlund, M. Pell

“…The effect of four biogas digestates (BD-A, BD-B, BD-C, and BD-D) and pig slurry (PS) on soil microbial functions was assessed at application rates corresponding to 0–1120 kg NH4+-N ha−1. At dose corresponding to 140 kg NH4+-N ha−1, 30.9–32.5% of the carbon applied in BD-A, BD-C, and PS was utilized during 12 days, while for BD-B and BD-D corresponding utilization was 19.0 and 16.9%, respectively. …”
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On L2-Boundedness of h-Pseudodifferential Operators by Jie Yang

“…In this paper, under the condition ax,ξ∈L∞Sρnρ−1/2ω, we show that Tah is bounded on L2.…”
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The Boundedness of Some Integral Operators on Weighted Hardy Spaces Associated with Schrödinger Operators by Hua Wang

“…Then, by using the atomic decomposition and molecular characterization of HLp(w), we will show that the imaginary power Liγ is bounded on HLp(w) for n/(n+1)<p≤1, and the fractional integral operator L-α/2 is bounded from HLp(w) to HLq(wq/p), where 0<α<min{n/2,1}, n/(n+1)<p≤n/(n+α), and 1/q=1/p-α/n.…”
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On the relation between one-sided duoness and commutators by Kim Nam Kyun, Lee Yang

“…Moreover, it is proved that if RR is a ring of characteristic 2 such that D2(R){D}_{2}\left(R) is right duo, then RR has an ascending chain of nil ideals NRi⊆NRi+1{N}_{{R}_{i}}\subseteq {N}_{{R}_{i+1}} (i=0,1,…i=0,1,\ldots ) such that NRi+1⁄NRi{N}_{{R}_{i+1}}/{N}_{{R}_{i}} is contained in the center of R⁄NRiR/{N}_{{R}_{i}}. …”
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Optimizing Nitrogen Fertilization Regimes for Sustainable Maize (Zea mays L.) Production on the Volcanic Soils of Buea Cameroon by Christopher Ngosong, Victorine Bongkisheri, Clovis B. Tanyi, Lawrence T. Nanganoa, Aaron S. Tening

“…Soil pH ranged from 4.7 to 5.4 across N rates, with the lowest in 200 kg N ha−1 rate. Maize grain yield and cob length ranged from 7.1 to 10.3 t ha−1 and from 14.5 to 18 cm across N rates, respectively, with the highest in 150 and 200 kg N ha−1. …”
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Mineral Composition of Traditional Non-GMO Soybean Cultivars in relation to Nitrogen Fertilization by Bogdan Szostak, Aleksandra Głowacka, Renata Klebaniuk, Anna Kiełtyka-Dadasiewicz

“…Two non-GMO soybean cultivars (Amandine and Merlin) and four mineral nitrogen fertilizers ((A) N 0, control; (B) N 30:0, 30 kg N ha−1 before sowing; (C) N 0:30, 30 kg N ha−1 at BBCH 73–75; (D) N 30:30, 30 kg N ha−1 before sowing and 30 kg N ha−1 at BBCH 73–75) were tested. …”
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Asymptotic relationships between two higher order ordinary differential equations by Takasi Kusano

“…Some asymptotic relationships between the two ordinary differential equations (1)                                                  x(n)+p1(t)x(n−1)+…+pn(t)x=0, (2)                                      y(n)+p1(t)y(n−1)+…+pn(t)y=f(t,y), are studied. …”
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Solvability of a Second Order Nonlinear Neutral Delay Difference Equation by Zeqing Liu, Liangshi Zhao, Jeong Sheok Ume, Shin Min Kang

“…This paper studies the second-order nonlinear neutral delay difference equation Δ[anΔ(xn+bnxn−τ)+f(n,xf1n,…,xfkn)]+g(n,xg1n,…,xgkn)=cn, n≥n0. By means of the Krasnoselskii and Schauder fixed point theorem and some new techniques, we get the existence results of uncountably many bounded nonoscillatory, positive, and negative solutions for the equation, respectively. …”
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Comparison results and linearized oscillations for higher-order difference equations by G. Ladas, C. Qian

“…Consider the difference equationsΔmxn+(−1)m+1pnf(xn−k)=0,   n=0,1,…        (1)andΔmyn+(−1)m+1qng(yn−ℓ)=0,   n=0,1,……”
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Strong laws of large numbers for arrays of row-wise exchangeable random elements by Robert Lee Taylor, Ronald Frank Patterson

“…Let {Xnk,1≤k≤n,n≤1} be a triangular array of row-wise exchangeable random elements in a separable Banach space. …”
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A generalization of a theorem by Cheo and Yien concerning digital sums by Curtis N. Cooper, Robert E. Kennedy

“…Cheo and Yien proved that for a positive integer x, the sum of the terms of the sequence{s(n):n=0,1,2,…,(x−1)}is (4.5)xlogx+0(x). In this paper we let k be a positive integer and determine that the sum of the sequence{s(kn):n=0,1,2,…,(x−1)}is also (4.5)xlogx+0(x). …”
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Assessment of Blood Pressure Control Status Among Hypertensive Patients Attending Rwandan District Hospital NCD Clinics: A Retrospective Follow-Up Study by Evariste Ntaganda, Ziad El-Khatib, Regine Mugeni, Boniface Nsengiyumva, Clarisse Musanabaganwa, James Gafirita, Francois Uwinkindi, Richard Kalisa

“…Results Blood pressure control was achieved in 41.5% of hypertensive patients (n = 438/1,055). The majority were aged > 60 years (mean age 62; n = 663/1,055; 62.8%), and women, with approximately three-quarters of patients (n = 796/1,055; 75.5%) had a BMI between 18.5 and 24.9 Kg/m2 and the majority (n = 843/1,055; 79.9%) resided in rural districts. …”
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Changes in N, K, and Fatty Acid Composition of Black Cumin Seeds Affected by Nitrogen Doses under Supplemental Potassium Application by Zehra Aytac, Nurdilek Gulmezoglu, Tugce Saglam, Engin Gokhan Kulan, Ugur Selengil, Halit Levent Hosgun

“…This study was carried out to determine the efficiency of nitrogen (N) doses (0, 30, 60, and 90 kg N ha−1) under supplemental potassium (K) application (50 kg K2O ha−1) on black cumin in 2011 and 2012. …”
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A new proof of the GGR conjecture by Ash, J. Marshall, Catoiu, Stefan, Fejzić, Hajrudin

“…For each positive integer $n$, function $f$, and point $x$, the 1998 conjecture by Ginchev, Guerragio, and Rocca states that the existence of the $n$th Peano derivative $f_{(n)}(x)$ is equivalent to the existence of all $n(n+1)/2$ generalized Riemann derivatives, \[ D_{k,-j}f(x)=\lim _{h\rightarrow 0}\frac{1}{h^{n}}\sum _{i=0}^k(-1)^i\binom{k}{i}f(x+(k-i-j)h), \] for $j,k$ with $0\le j…”
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The Exact Distribution of the Condition Number of Complex Random Matrices by Lin Shi, Taibin Gan, Hong Zhu, Xianming Gu

“…The 2-norm condition number of Gm×n is κ2Gm×n=λ1/λn=σ1/σn. In this paper, the exact distribution of the condition number of the complex Wishart matrices is derived. …”
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On weakly prime-additive numbers with length $4k+3$ by Fang, Jin-Hui, Xue, Fang-Gang

“…If a positive integer $n$ has at least two distinct prime divisors and can be written as $n=p_1^{\alpha _1}+\dots +p_t^{\alpha _t}$, where $p_1<\dots 3$. …”
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Biosurfactant-Producing Lactobacilli: Screening, Production Profiles, and Effect of Medium Composition by Eduardo J. Gudiña, José A. Teixeira, Lígia R. Rodrigues

“…The highest biosurfactant production (excreted and cell-bound biosurfactants) was achieved with Lactobacillus paracasei ssp. paracasei A20, a strain isolated from a Portuguese dairy plant, with a decrease in the surface tension of 6.4 mN m−1 and 22.0 mN m−1, respectively. Biosurfactant production by this strain was evaluated under different culture broth compositions. …”
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Comparative Economic Analysis Between Bioenergy and Forage Types of Switchgrass for Sustainable Biofuel Feedstock Production: A Data Envelopment Analysis and Cost–Benefit Analysis... by Muhammad Umer Arshad, David Archer, Daniel Wasonga, Nictor Namoi, Arvid Boe, Rob Mitchell, Emily Heaton, Madhu Khanna, DoKyoung Lee

“…Liberty exhibited the highest profit margins in hardiness zone 5b (Madrid, IA, and Ithaca, NE) at 56 kg N ha−1 and showed exceptional profitability with 28 kg N ha−1 in hardiness zone 6b (Brighton, IL). …”
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