The Higher Order Riesz Transform and BMO Type Space Associated with Schrödinger Operators on Stratified Lie Groups by Yu Liu, Jianfeng Dong

“…Assume that G is a stratified Lie group and Q is the homogeneous dimension of G. Let -Δ be the sub-Laplacian on G and W≢0 a nonnegative potential belonging to certain reverse Hölder class Bs for s≥Q/2. …”
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Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument by Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini

“…We study necessary and sufficient conditions for the oscillation of the third-order nonlinear ordinary differential equation with damping term and deviating argument x‴(t)+q(t)x′(t)+r(t)f(x(φ(t)))=0. Motivated by the work of Kiguradze (1992), the existence and asymptotic properties of nonoscillatory solutions are investigated in case when the differential operator ℒx=x‴+q(t)x′ is oscillatory.…”
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Generalized Lebesgue Points for Hajłasz Functions by Toni Heikkinen

“…We show that if αX<∞ and X has absolutely continuous quasinorm, then quasievery point is a generalized Lebesgue point of a quasicontinuous Hajłasz function u∈M˙s,X. Moreover, if αX<(Q+s)/Q, then quasievery point is a Lebesgue point of u. …”
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Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3<α≤4 by Imed Bachar, Hassan Eltayeb

“…We establish new Lyapunov-type inequalities for the following conformable fractional boundary value problem (BVP): Tαaut+q(t)u(t)=0,  a<t<b,  u(a)=u′(a)=u′′(a)=u′′(b)=0, where Tαa is the conformable fractional derivative of order α∈(3,4] and q is a real-valued continuous function. …”
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Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs by Mujahid Ullah Khan Afridi, Ibad Ur Rehman, Muhammad Ishaq

“…Let Q be a polynomial ring over a field F and I be an edge ideal associated with the whisker graph of a cubic circulant graph. …”
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Semi separation axioms and hyperspaces by Charles Dorsett

“…Also, it is shown that for each space (X,T), (S(X),E(X)), (S(X0),E(X0)), and (S(XS0),E(XS0)) are homeomorphic, where (X0,Q(X0)) is the T0-identification space of (X,T) and (XS0,Q(XS0)) is the semi-T0-identification space of (X,T), and that if (X,T) is s-regular and R0, then (S(X),E(X)) is semi-T2.…”
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On some permutation polynomials over finite fields by Amir Akbary, Qiang Wang

“…Let p be prime, q=pm, and q−1=7s. We completely describe the permutation behavior of the binomial P(x)=xr(1+xes) (1≤e≤6) over a finite field Fq in terms of the sequence {an} defined by the recurrence relation an=an−1+2an−2−an−3 (n≥3) with initial values a0=3, a1=1, and a2=5.…”
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L1 spaces fail a certain aapproximative property by Aref Kamal

“…He also shows that if X=ℓ∞ or C(Q) for some infinite compact Hausdorff space Q, then X* does not have the property P1.…”
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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

“…The multiple results of positive solutions for the following quasilinear elliptic equation: −Δ𝑝𝑢=𝜆𝑓(𝑥)|𝑢|𝑞−2𝑢+𝑔(𝑥)|𝑢|𝑝∗−2𝑢 in Ω,𝑢=0 on 𝜕Ω, are established. …”
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Migration of Two Synthetic Phenolic Antioxidants and Their Degradation Products from Wheat Straw-Based Plastic Lunch Boxes by WANG Jinxin, LIANG Yingyin, ZHONG Huaining, HU Changying

“…A method based on gas chromatography-mass spectrometry (GC-MS) was developed for the determination of the residues of 2,4-di-tert-butylphenol (2,4-DTBP), butylated hydroxytoluene (BHT) and its derivatives 2,6-di-tert-butyl-p-benzoquinone (BHT-Q) and 3,5-di-tert-butyl-4-hydroxybenzaldehyde (BHT-CHO) and their migration to isooctane from wheat straw-based plastic lunchboxes. …”
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Differential Analysis of Genetic, Epigenetic, and Cytogenetic Abnormalities in AML by Mirazul Islam, Zahurin Mohamed, Yassen Assenov

“…We identified several aberrations to be associated with genome-wide methylation changes. These include Del (5q), T (15; 17), and NPMc mutations. Four aberrations—Del (5q), T (15; 17), T (9; 22), and T (9; 11)—are significantly associated with patient survival. …”
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Simulations and Experiments on the Vibrational Characteristics of Cylindrical Shell Resonator Actuated by Piezoelectric Electrodes with Different Thicknesses by Yiming Luo, Tianliang Qu, Bin Zhang, Yao Pan, Pengbo Xiao

“…The vibrational characteristics of the resonator, including the resonant frequency, vibrational amplitude, and Q factor, have a great influence on CVG’s performance. …”
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Seronegative Myasthenia Gravis, as a Rare Autoimmune Condition in Turner Syndrome by Rimah Sharief, Amir Miodovnik, Roja Motaghedi

“…Girls with Turner syndrome (TS), especially with isochromosome 46,X,i(X)(q10), are prone to develop autoimmunity. Associations of several autoimmune conditions with TS have been frequently described in the past. …”
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Low Streamflow Analysis in Yeşilırmak Basin by Sümeyye Özkan, Turgay Partal

“…By using 31 years of data, flow rate continuous graphs were drawn first, and low flows were determined by reading Q90, Q95, and Q99 flow rates over these graphs. …”
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On Super Mean Labeling for Total Graph of Path and Cycle by Nur Inayah, I. Wayan Sudarsana, Selvy Musdalifah, Nurhasanah Daeng Mangesa

“…The number of vertices of G is called order of G and it is denoted by p. Let G be a (p,q) graph. A super mean graph on G is an injection f:V→{1,2,3…,p+q} such that, for each edge e=uv in E labeled by f⁎e=fu+f(v)/2, the set fV∪{f⁎e:e∈E} forms 1,2,3,…,p+q. …”
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A thermodynamically consistent approach to the energy costs of quantum measurements by Camille L Latune, Cyril Elouard

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Analytical Quality by Design Approach to Test Method Development and Validation in Drug Substance Manufacturing by N. V. V. S. S. Raman, Useni Reddy Mallu, Hanimi Reddy Bapatu

“…Pharmaceutical firms increased the number of product development by using scientific tools such as QbD (Quality by Design) and PAT (Process Analytical Technology). ICH guidelines Q8 to Q11 have discussed QbD implementation in API synthetic process and formulation development. …”
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On a System of Two High-Order Nonlinear Difference Equations by Qianhong Zhang, Wenzhuan Zhang

“…This paper is concerned with dynamics of the solution to the system of two high-order nonlinear difference equations xn+1=xn-k/(q+∏i=0kyn-i), yn+1=yn-k/(p+∏i=0kxn-i), k∈N+, n=0,1,…, where p,q∈(0,∞), x-i∈(0,∞), y-i∈(0,∞) and i=0,1,…,k. …”
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A New Kind of Fuzzy n-ary Hypergroups in the Framework of Soft Set Theory by Hongjie Li, Yunqiang Yin

“…The homomorphism properties of (∈γ,∈γ∨qδ)-fuzzy soft (invertible) n-ary subhypergroups are also derived.…”
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Infinitely Many Homoclinic Orbits for 2nth-Order Nonlinear Functional Difference Equations Involving the p-Laplacian by Xiaofei He

“…By establishing a new proper variational framework and using the critical point theory, we establish some new existence criteria to guarantee that the 2nth-order nonlinear difference equation containing both advance and retardation with p-Laplacian Δn(r(t−n)φp(Δnu(t−1)))+q(t)φp(u(t))=f(t,u(t+n),…,u(t),…,u(t−n)), n∈ℤ(3), t∈ℤ, has infinitely many homoclinic orbits, where φp(s) is p-Laplacian operator; φp(s)=|s|p−2s(1<p<∞)r, q, f are nonperiodic in t. …”
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