Exploring lecturers’ goal-setting using a coaching framework by Anna Carissa Rozzo

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Notes on the Hermitian Positive Definite Solutions of a Matrix Equation by Jing Li, Yuhai Zhang

“…The nonlinear matrix equation, X-∑i=1mAi*XδiAi=Q, with -1≤δi<0 is investigated. A fixed point theorem in partially ordered sets is proved. …”
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Blow-up of solutions for a time fractional biharmonic equation with exponentional nonlinear memory by Yuchen Zhu

“…We first establish a $ L^p-L^q $ estimate for solution operators of a time fractional nonlinear biharmonic equation, and obtain bilinear estimates for mild solutions. …”
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Williams Syndrome with a “Twist” by Despoina Maritsi, Lydia Kossiva, George Vartzelis

“…Williams syndrome is a rare genetic condition with multisystemic involvement, caused by a microscopic deletion in the chromosome band 7q11.23. We describe the first case of a toddler with Williams syndrome who developed Benign Paroxysmal Torticollis (BPT), a benign dystonic disorder of unknown aetiology.…”
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An Approximate Quasi-Newton Bundle-Type Method for Nonsmooth Optimization by Jie Shen, Li-Ping Pang, Dan Li

“…Under some reasonable assumptions, the proposed method is shown to have a Q-superlinear rate of convergence.…”
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Some Simple Full-Range Inverse-Normal Approximations by Raymond Koopman

“…Alternate versions of the approximations are also given, with the constants chosen to minimize the maximum relative error in the implied approximate q rather than the maximum absolute error in the approximate z. …”
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A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data by Ammar Khanfer, Lazhar Bougoffa

“…By determining appropriate values of λ and estimates for perturbation measurements on the boundary data, we establish an existence theorem for the problem under integral boundary conditions u0=u′0=∫01pxuxdx,u″1=u′′′1=∫01qxu″xdx, where p,q∈L10,1, and f is continuous on 0,1×0,∞×0,∞×−∞,0×−∞,0.…”
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Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces by Yiyuan Zhang, Guangfu Cao, Li He

“…We characterize bounded or compact Toeplitz operators Tf from one generalized Fock space Fφp to another Fφq, respectively, in four cases.…”
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Joint Spectra of Generators in Topological Algebras by Antoni Wawrzyńczyk

“…The relation is given by the formula σ𝒰(S)={(f(s))s∈S  |    f∈𝔐𝒰}. If 𝒜 is a Q-algebra, the set σ𝒰(S) is rationally convex.…”
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Reducing Subspaces of Some Multiplication Operators on the Bergman Space over Polydisk by Yanyue Shi, Na Zhou

“…We also characterize the minimal reducing subspaces in the cases that α=0 and α∈(-1,+∞)∖Q, respectively. Finally, we give a complete description of minimal reducing subspaces of MzN on Aα2(D3) with α>-1.…”
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Spectral Properties of the Differential Operators of the Fourth-Order with Eigenvalue Parameter Dependent Boundary Condition by Ziyatkhan S. Aliyev, Nazim B. Kerimov

“…We consider the fourth-order spectral problem 𝑦(4)(𝑥)−(𝑞(𝑥)𝑦′(𝑥))=𝜆𝑦(𝑥),𝑥∈(0,𝑙) with spectral parameter in the boundary condition. …”
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Orthant spanning simplexes with minimal volume by Michele Elia

“…The roots of pn(t) cannot be expressed using radicals when the coordinates of A are transcendental over ℚ, for 3≤n≤15, and supposedly for every n. Furthermore, limited to dimension 3, parametric representations are given to points A to which correspond triangles of minimal area with integer vertex coordinates and area.…”
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Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations by Wen-Xue Zhou, Ji-Gen Peng, Yan-Dong Chu

“…We present some new multiplicity of positive solutions results for nonlinear semipositone fractional boundary value problem D0+αu(t)=p(t)f(t,u(t))-q(t),0<t<1,u(0)=u(1)=u'(1)=0, where 2<α≤3 is a real number and D0+α is the standard Riemann-Liouville differentiation. …”
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On quasilinear elliptic equations in ℝN by C. O. Alves, J. V. Concalves, L. A. Maia

“…In this note we give a result for the operator p-Laplacian complementing a theorem by Brézis and Kamin concerning a necessary and sufficient condition for the equation −Δu=h(x)uq in ℝN, where 0<q<1, to have a bounded positive solution. While Brézis and Kamin use the method of sub and super solutions, we employ variational arguments for the existence of solutions.…”
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On calculation of the relative index of a fixed point in the nondegenerate case by A. V. Guminskaya, P. P. Zabreiko

“…Also the case of a nonlinear completely continuous operator A whose domain and image are situated in a closed convex set Q of a Banach space is considered. For this case, we formulate the rules for calculating the index of an arbitrary fixed point and the asymptotic index under the assumption that the corresponding linearizations exist and the operators of derivative do not have eigenvectors with eigenvalue 1 in some wedges.…”
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Boundedness and Global Attractivity of a Higher-Order Nonlinear Difference Equation by Xiu-Mei Jia, Wan-Tong Li

“…We investigate the local stability, prime period-two solutions, boundedness, invariant intervals, and global attractivity of all positive solutions of the following difference equation: 𝑦𝑛+1=(𝑟+𝑝𝑦𝑛+𝑦𝑛−𝑘)/(𝑞𝑦𝑛+𝑦𝑛−𝑘), 𝑛∈ℕ0, where the parameters 𝑝,𝑞,𝑟∈(0,∞),𝑘∈{1,2,3,…} and the initial conditions 𝑦−𝑘,…,𝑦0∈(0,∞). …”
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Distribution of αp2 Modulo One with Prime Variable p of a Special Form by Fei Xue, Jinjiang Li, Min Zhang

“…In this paper, it is proved that, for α∈ℝ/ℚ, β∈ℝ, and 0<θ<10/1561, there exist infinitely many primes p, such that αp2+β<p−θ and p+2=P4, which constitutes an improvement upon the previous result.…”
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A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras by G. Muhiuddin, Nabilah Abughazalah, A. Mahboob, M. E. Elnair, Abdullah G. Alotaibi

“…In this paper, we propose the concept of ∈,∈∨j∗,qj-fuzzy p-ideals in “BCI-algebras.” We show that “∈,∈∨q-fuzzy p-ideals” and “∈∨j∗,qj,∈∨j∗,qj-fuzzy p-ideals” are “∈,∈∨j∗,qj-fuzzy p-ideals.” …”
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COMMON FIXED POINT IN 𝐺-METRIC SPACES VIA GENERALIZED Γ-𝐶_𝐹 -SIMULATION FUNCTION by S. V. Puvar, R. G. Vyas

“…We present the generalized Γ-𝐶_𝐹 -simulation function and establish the common fixed point result for weak (𝜂_𝐹 , 𝑔) q-contraction in complete 𝐺-metric space. The exploration extends to its ramifications on both quasi-metric spaces and metric spaces. …”
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Solution of Second-Order IVP and BVP of Matrix Differential Models Using Matrix DTM by Reza Abazari, Adem Kılıcman

“…We introduce a matrix form of differential transformation method (DTM) and apply for nonlinear second-order initial value problems (IVPs) and boundary value problems (BVPs) of matrix models which are given by 𝐮(𝑡)=𝑓(𝑡,𝐮(𝑡),𝐮(𝑡)) and subject to initial conditions 𝐮(𝑎)=𝐮0,𝐮(𝑎)=𝐮1 and boundary conditions 𝐮(𝑎)=𝐮0,𝐮(𝑏)=𝐮1, where 𝐮0,𝐮1∈𝑅𝑟×𝑞. Also the convergence of present method is established. …”
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