Non-Self-Adjoint Singular Sturm-Liouville Problems with Boundary Conditions Dependent on the Eigenparameter by Elgiz Bairamov, M. Seyyit Seyyidoglu

“…Let 𝐴 denote the operator generated in 𝐿2(ℛ+) by the Sturm-Liouville problem: −𝑦+𝑞(𝑥)𝑦=𝜆2𝑦, 𝑥∈ℛ+=[0,∞), (𝑦/𝑦)(0)=(𝛽1𝜆+𝛽0)/(𝛼1𝜆+𝛼0), where 𝑞 is a complex valued function and 𝛼0,𝛼1,𝛽0,𝛽1∈𝒞, with 𝛼0𝛽1−𝛼1𝛽0≠0. …”
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An Extension of a result of Csiszar by P. B. Cerrito

“…If α=1, we show that there exists a sequence of elements {an} In S such that μn∗δan converges vaguely to a probability measure where δ denotes point mass. In particular, we apply the results to inverse and matrix semigroups.…”
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A Note on the Regularity of the Two-Dimensional One-Sided Hardy-Littlewood Maximal Function by Feng Liu, Lei Xu

“…More importantly, we establish the sharp boundedness and continuity for the discrete two-dimensional one-sided Hardy-Littlewood maximal operator from l1(Z2) to BV(Z2). Here BV(Z2) denotes the set of all functions of bounded variation on Z2.…”
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Dimension theory and fuzzy topological spaces by S. S. Benchalli, B. M. Ittanagi, P. G. Patil

“…In this paper, a new local inductive dimension function called local huge inductive dimension function denoted by locHind is introduced and studied. Furthermore, an effort is made to introduce and study dimension functions for fuzzy topological spaces. …”
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Models of Collapsing and Expanding Cylindrical Source in f(R,T) Theory by M. Sharif, Aisha Siddiqa

“…We discuss the collapsing and expanding solutions of anisotropic charged cylinder in the context of f(R,T) theory (R represents the Ricci scalar and T denotes the trace of energy-momentum tensor). For this purpose, we take an auxiliary solution of Einstein-Maxwell field equations and evaluate expansion scalar whose negative values lead to collapse and positive values give expansion. …”
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On Some New Classes of $\mathcal{I}-$Convergent Sequences in GNLS by Vakeel Khan, Zahid Rahman, Ayhan Esi, Amit Kumar

“…This paper is devoted to study $\mathcal{I}$-convergent,$\mathcal{I-}$null, $\mathcal{I-}$bounded and bounded sequence spaces in gradual normed linear spaces, denoted by $c_{\| \cdot \|_G} ^\mathcal{I} ,c_{0 \| \cdot \|_G} ^\mathcal{I} ,\ell_{\infty \| \cdot \|_G} ^\mathcal{I}, \ell_{\infty \| \cdot\|_G}, m_{\| \cdot \|_G} ^\mathcal{I}$ and $m_{0 \| \cdot \|_G} ^\mathcal{I}$ respectively. …”
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The Larger Bound on the Domination Number of Fibonacci Cubes and Lucas Cubes by Shengzhang Ren

“…Let Γn and Λn be the n-dimensional Fibonacci cube and Lucas cube, respectively. Denote by Γ[un,k,z] the subgraph of Γn induced by the end-vertex un,k,z that has no up-neighbor. …”
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A Novel Complex Valued Cuckoo Search Algorithm by Yongquan Zhou, Hongqing Zheng

“…To expand the information of nest individuals, the idea of complex-valued encoding is used in cuckoo search (PCS); the gene of individuals is denoted by plurality, so a diploid swarm is structured by a sequence plurality. …”
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Generalized Lebesgue Points for Hajłasz Functions by Toni Heikkinen

“…Let X be a quasi-Banach function space over a doubling metric measure space P. Denote by αX the generalized upper Boyd index of X. …”
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On Some Sampling-Related Frames in U-Invariant Spaces by H. R. Fernández-Morales, A. G. García, M. A. Hernández-Medina, M. J. Muñoz-Bouzo

“…This paper is concerned with the characterization as frames of some sequences in U-invariant spaces of a separable Hilbert space ℋ where U denotes an unitary operator defined on ℋ; besides, the dual frames having the same form are also found. …”
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Energy Conditions for Hamiltonicity of Graphs by Guidong Yu, Gaixiang Cai, Miaolin Ye, Jinde Cao

“…The energy of G is defined as ℰ(G)=∑i=1n‍|μi(G)|. Denote by GBPT a bipartite graph. In this paper, we establish the sufficient conditions for G having a Hamiltonian path or cycle or to be Hamilton-connected in terms of the energy of the complement of G, and give the sufficient condition for GBPT having a Hamiltonian cycle in terms of the energy of the quasi-complement of GBPT.…”
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Composition Operators from the Hardy Space to the Zygmund-Type Space on the Upper Half-Plane by Stevo Stević

“…For the case n=2, we call it the Zygmund-type space, and denote it by 𝒵(Π+). The main result of the paper gives some necessary and sufficient conditions for the boundedness of the composition operator Cφf(z)=f(φ(z)) from the Hardy space Hp(Π+) on the upper half-plane, to the Zygmund-type space, where φ is an analytic self-map of the upper half-plane.…”
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Barrow holographic dark energy: a path to reconstructing f(R, T) gravity by P. S. Ens, A. F. Santos

“…In this study, we focus on the f(R, T) modified gravity theory, where R denotes the Ricci scalar and T represents the trace of the energy–momentum tensor. …”
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Monotone and Concave Positive Solutions to a Boundary Value Problem for Higher-Order Fractional Differential Equation by Jinhua Wang, Hongjun Xiang, Yuling Zhao

“…We consider boundary value problem for nonlinear fractional differential equation D0+αu(t)+f(t,u(t))=0,  0<t<1,  n-1<α≤n,  n>3,  u(0)=u'(1)=u′′(0)=⋯=u(n-1)(0)=0, where D0+α denotes the Caputo fractional derivative. By using fixed point theorem, we obtain some new results for the existence and multiplicity of solutions to a higher-order fractional boundary value problem. …”
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The Hyper-Wiener Index of Trees of Order n with Diameter d by Gaixiang Cai, Guidong Yu, Jinde Cao, Ahmad Alsaedi, Fuad Alsaadi

“…The hyper-Wiener index WW(G) is defined as WW(G)=1/2∑u,v∈VGdGu,v+dG2u,v with the summation going over all pairs of vertices in G, and dGu,v denotes the distance of the two vertices u and v in the graph G. …”
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Effects of predation efficiencies on the dynamics of a tritrophic food chain by Maria Paola Cassinari, Maria Groppi, Claudio Tebaldi

“…The analysis is performed in terms of twobifurcation parameters, denoted by $p$ and $q$, which measure theefficiencies of the interaction processes. …”
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«It is necessary to bring sincere thanks to the donators who willingly responded to the call of the church to help in difficult times...»: report on activities of the Parish Counci... by A. V. Sushko

“…On the basis of published document, the conditions for existence of the largest Orthodox community of Bogoroditze-Bratskaya Church in Omsk are disclosed. It denotes a change in government policy from struggle with religion, which consisted in the transition from taxation turned out to be insufficiently effective pressure on the community, to political repression against its leaders. …”
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Partial Differential Equations in Zero-Sum Differential Game and Applications on Coronavirus by Abd El-Monem A. Megahed, H. F. A. Madkour

“…We used ∞-Laplacian which is denoted by ∆∞. We added the time variable to the partial differential equation to see the behaviour of the spreading of Coronavirus. …”
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Analysis of a Compact and Superdirective Metamaterial-Inspired Monopole Antenna by Saber Dakhli, Hatem Rmili, Kourosh Mahdjoubi, Jean-Marie Floc’h, Fethi Choubani

“…The proposed structure is composed of a split-ring resonator (SRR) parasitic element placed in the vicinity of a monopole antenna. Two configurations denoted by A1 and A2 were considered depending on the position of the slot in the SRR element. …”
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An Orlicz-Besov Poincaré Inequality via John Domains by Hongyan Sun

“…Denote by B˙⁎α,ϕ(Ω) the intrinsic Orlicz-Besov space, where α∈R, ϕ is a Young function, and Ω⊂Rn is a domain. …”
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