Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition by Salah Mahmoud Boulaaras, Abdelbaki Choucha, Djamel Ouchenane, Asma Alharbi, Mohamed Abdalla, Bahri Belkacem Cherif

“…Galerkin’s method was the main used tool for proving our result. This work is a generalization of recent homogenous work.…”
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Exponential Extinction of Nicholson's Blowflies System with Nonlinear Density-Dependent Mortality Terms by Wentao Wang

“…This paper presents a new generalized Nicholson’s blowflies system with patch structure and nonlinear density-dependent mortality terms. …”
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On Some Metric Inequalities and Applications by Hassen Aydi, Bessem Samet

“…Our main result is a generalization of that obtained by Dragomir and Gosa.…”
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Short-Lasting Unilateral Neuralgiform Headache Attacks with Conjunctival Injection and Tearing in a Patient with Varicella-Zoster Virus Encephalomyelitis by Megan E. Gray, Brian Wispelwey, Christopher J. Arnold

“…Short-lasting unilateral neuralgiform headache attacks with conjunctival injection and tearing syndrome (SUNCT) is a type of trigeminal autonomic cephalalgia. Its etiology is generally idiopathic, though rarely it has been associated with viral infections. …”
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Square variation of Brownian paths in Banach spaces by Mou-Hsiung Chang

“…It is known that if {W(t),   0≤t≤1} is a standard Brownian motion in ℝ then limn→∞∑i=12n|W(i/2n)−W((i−1)/2n)|2=1 almost surely. We generalize this celebrated theorem of Levy to Brownian motion in real separable Banach spaces.…”
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Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function by Keita Nakai

“…This discrete universality has been extended to various zeta-functions and L-functions. In this paper, we generalize this discrete universality for Matsumoto zeta-functions. …”
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The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited by Carmen Alegre, Salvador Romaguera

“…We characterize fuzzy norms in terms of ascending and separating families of seminorms and prove an extension theorem for continuous linear functionals on a fuzzy normed space. Our result generalizes the classical Hahn-Banach extension theorem for normed spaces.…”
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The Solutions to Matrix Equation AX=B with Some Constraints by Chang-Zhou Dong, Yu-Ping Zhang

“…A similar problem of this matrix equation with generalized constrained is also discussed.…”
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Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent by Jingai Du, Pengfei He, Hongmin Suo

“…We apply the concentration compactness principle and the Pohožaev-type identity to overcome loss of compactness caused by the Coulomb exponent and obtain a ground state solution, which generalizes and improves some recent results in the literature.…”
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Lattice normality and outer measures by Panagiotis D. Stratigos

“…A lattice space is a generalization of a topological space. The concept of lattice normality plays an important role in the study of lattice spaces.…”
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Some New Coupled Coincidence Point and Coupled Fixed Point Results in Partially Ordered Metric-Like Spaces and an Application by Min Liang, Chuanxi Zhu, Zhaoqi Wu, Chunfang Chen

“…Some new coupled coincidence point and coupled fixed point theorems are established in partially ordered metric-like spaces, which generalize many results in corresponding literatures. …”
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Transient development of gravity waves for two layered fluids by A. H. Essawy, M. S. Faltas

“…The resulting linearized initial value problem is solved using the method of generalized functions, and asymptotic analysis for large time and distance are given for the elevation.…”
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Convergence of Solutions to a Certain Vector Differential Equation of Third Order by Cemil Tunç, Melek Gözen

“…Our result improves and generalizes some earlier results in the literature.…”
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Linearization of a Matrix Riccati Equation Associated to an Optimal Control Problem by Foued Zitouni, Mario Lefebvre

“…The matrix Riccati equation that must be solved to obtain the solution to stochastic optimal control problems known as LQG homing is linearized for a class of processes. The results generalize a theorem proved by Whittle and the one-dimensional case already considered by the authors. …”
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Psilochorus simoni (Berland, 1911) (Araneae: Pholcidae), a new record for slovenian spider fauna from Postonjska jama cave by Rok Kostanjšek, Lucija Ramšak

“…The species, which originates from subtropical America, has been introduced to Europe where it is generally associated with synanthropic habitats. This is the first record of this rare species in Slovenia and the second from a cave environment in Europe. …”
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Some results on boundary value problems for functional differential equations by P. Ch. Tsamatos, S. K. Ntouyas

“…These results are generalizations of recent results from ordinary differential equations and complete our earlier results on the same problem.…”
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On coincidence theorems for a family of mappings in convex metric spaces by Olga Hadzic

“…This theorem is a generalization of the well known fixed point theorem proved by Assad and Kirk. …”
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On Pure Hyperradical in Semihypergroups by Kostaq Hila, Krisanthi Naka

“…This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element. …”
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On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces by Abdelfatah Bouziani

“…The aim of this paper is to prove the existence, uniqueness, and continuous dependence upon the data of a generalized solution for certain singular parabolic equations with initial and nonlocal boundary conditions. …”
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Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems by Qiang Zheng

“…Some recent results in the literature are generalized and extended.…”
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