Convexity, boundedness, and almost periodicity for differential equations in Hillbert space by Jerome A. Goldstein

“…There are three kinds of results. First we extend and sharpen a convexity inequality of Agmon and Nirenberg for certain differential inequalities in Hilbert space. …”
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The q-Chlodowsky and q-Szasz-Durrmeyer Hybrid Operators on Weighted Spaces by Harun Çiçek, Aydın İzgi

“…In addition, we derive Voronovskaja’s type asymptotic formula for the related operators.…”
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Classification results for polyharmonic helices in space forms by Branding, Volker

“…We derive various classification results for polyharmonic helices, which are polyharmonic curves whose geodesic curvatures are all constant, in space forms. …”
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Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique by Mohammed M. Matar

“…Firstly, we obtain the solution of the linear equations using variation of parameter technique, and next we investigate the existence theorems of the corresponding nonlinear types using some fixed-point theorems. …”
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Ideal extensions of ordered sets by Niovi Kehayopulu

“…The ideal extensions of semigroups—without order—have been first considered by Clifford (1950). In this paper, we give the main theorem of the ideal extensions for ordered sets. …”
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Algebra Properties in Fourier-Besov Spaces and Their Applications by Xuhuan Zhou, Weiliang Xiao

“…We estimate the norm of the product of two scale functions in Fourier-Besov spaces. …”
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Centrally Extended α-Homoderivations on Prime and Semiprime Rings by Mahmoud M. El-Soufi, A. Ghareeb

“…Also, we study their effect on the center of a ring, and we give several outcomes on the commutativity of the ring.…”
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Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials by Isra Al-Shbeil, Abbas Kareem Wanas, Abdelkader Benali, Adriana Cătaş

“…Furthermore, we give connections to some of the earlier known results.…”
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On the Estimations of the Small Periodic Eigenvalues by Seza Dinibütün, O. A. Veliev

“…We estimate the small periodic and semiperiodic eigenvalues of Hill's operator with sufficiently differentiable potential by two different methods. …”
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On quasi h-pure submodules of QTAG-modules by Mohd. Z. Khan, A. Zubair

“…Different concepts and decomposition theorems have been done for QTAG-modules by number of authors. We introduce quasi h-pure submodules for QTAG-modules and we obtain several characterizations for quasi h-pure submodules and as a consequence we deduce a result done by Fuchs 1973.…”
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Self-Adjointness, Symmetries, and Conservation Laws for a Class of Wave Equations Incorporating Dissipation by Yang Wang, Long Wei

“…We show that the equations are nonlinear self-adjoint. …”
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The Analytical Solutions for Stochastic Fractional-Space Burgers’ Equation by Farah M. Al-Askar, Wael W. Mohammed, M. El-Morshedy

“…We consider here the stochastic fractional-space Burgers’ equation (SFSBs’E) forced by multiplicative noise. …”
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A Predator-Prey Gompertz Model with Time Delay and Impulsive Perturbations on the Prey by Jianwen Jia, Chunhua Li

“…We introduce and study a Gompertz model with time delay and impulsive perturbations on the prey. …”
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Asymptotic invariants of lattices in locally compact groups by Carderi, Alessandro

“…For doing so we will consider the ultraproduct of the sequence of actions of the locally compact group on the coset spaces and we will show how the properties of one of its cross sections are related to the asymptotic properties of the lattices.…”
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Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms by Dae Ho Jin

“…First we study the general theory for lightlike hypersurfaces of indefinite trans-Sasakian manifold of type (α,β). …”
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Derivations and Deformations of δ-Jordan Lie Supertriple Systems by Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo

“…Also, we study the low-dimensional cohomology and the coboundary operator of T, and then we investigate the deformations and Nijenhuis operators of T by choosing some suitable cohomologies.…”
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Isometric and Closed-Range Composition Operators between Bloch-Type Spaces by Nina Zorboska

“…We present an overview of the known results describing the isometric and closed-range composition operators on different types of holomorphic function spaces. …”
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A New Translation Operator by Covariant Derivative in the Generalized Space by Mehdi Jafari Matehkolaee, Houshyar Noshad

“…In this paper, we substituted the ordinary derivative with the covariant derivative in simple translation, that is built by applying the ordinary derivative and we investigate the new display of the simple translation. …”
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AN IDENTITY ON SYMMETRIC POLYNOMIALS by Đặng Tuấn Hiệp, Lê Văn Vĩnh

“…In this paper, we propose and prove an identity on symmetric polynomials. …”
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Permanence for a Discrete Model with Feedback Control and Delay by Yong-Hong Fan, Lin-Lin Wang

“…The permanence of a single-species population discrete model with feedback control is considered. We found that if we use the method of comparison theorem, then the additional condition, to some extent, is necessary. …”
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