Discrete Weighted Pseudo-Almost Automorphy and Applications by Zhinan Xia

“…We deal with discrete weighted pseudo almost automorphy which extends some classical concepts and systematically explore its properties in Banach space including a composition result. …”
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The Rate of Convergence of Lupas q-Analogue of the Bernstein Operators by Heping Wang, Yanbo Zhang

“…We discuss the rate of convergence of the Lupas q-analogues of the Bernstein operators Rn,q(f;x) which were given by Lupas in 1987. …”
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A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations by Fanwei Meng

“…We propose a new variable-coefficient Riccati subequation method to establish new exact solutions for nonlinear differential-difference equations. …”
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Le voyage discret des plantes by Pierre Grenand, Marie-Françoise Prévost, Marie Fleury

“…The dissemination of economically secondary plant species currently barely catches the attention of ethnobotanists. The two plants we selected, Abelmoschus moschatus and Zingiber zerumbet, present marked contrasts. …”
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An Elementary Solution to a Duffing Equation by Alvaro H. Salas

“…In this work, we study the Duffing equation. Analytical solution for undamped and unforced case is provided for any given arbitrary initial conditions. …”
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Stochastic Theories and Deterministic Differential Equations by John F. Moxnes, Kjell Hausken

“…We discuss the concept of “hydrodynamic” stochastic theory, which is not based on the traditional Markovian concept. …”
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Higher-Order Equations of the KdV Type are Integrable by V. Marinakis

“…We also discuss the integrability of both second- and third-order approximations of additional cases.…”
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On moment inequalities and stochastic ordering for weighted reliability measures by Broderick O. Oluyede, Mekki Terbeche

“…We obtain stochastic inequalities, error bounds, and classification probability for a general class of distributions. …”
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A Note on Edge-Group Choosability of Planar Graphs without 5-Cycles by Amir Khamseh

“…This paper is devoted to a study of the concept of edge-group choosability of graphs. We say that G is edge-k-group choosable if its line graph is k-group choosable. …”
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Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density by Nasser-Eddine Tatar

“…We consider a nonlinear viscoelastic problem and prove that the solutions are uniformly bounded and decay exponentially to zero as time goes to infinity. …”
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On an initial-boundary value problem for the nonlinear Schrödinger equation by Herbert Gajewski

“…We study an initial-boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer. …”
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On the First Curve in the FučiK Spectrum with Weights for a Mixed p-Laplacian by Liamidi Leadi, Aboubacar Marcos

“…We also study the asymptotic behavior of this first curve.…”
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Hyers-Ulam Stability of Polynomial Equations by M. Bidkham, H. A. Soleiman Mezerji, M. Eshaghi Gordji

“…We prove the Hyers-Ulam stability of the polynomial equation 𝑎𝑛𝑥𝑛+𝑎𝑛−1𝑥𝑛−1+⋯+𝑎1𝑥+𝑎0=0. …”
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On the K-th extension of the Sieve of eratosthenes by Antonio R. Quesada

“…The Sieve of Eratosthenes has been recently extended by excluding the multiples of 2, 3, and 5 from the initial set, and finding the additive rules that give the positions of the multiples of the remaining primes. We generalize these results. For a given k we let the initial set Sk consists of natural numbers relatively prime to the first k primes, and find the rules governing the positions of the multiples of the remaining elements.…”
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A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces by Takanori Ibaraki, Shunsuke Kajiba, Yukio Takeuchi

“…Then, we apply the obtained results to prove a new weak convergence theorem.…”
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Is it time to use checklists in mental health care auditing? by Jacob Polackiewicz, Alexander Grinshpoon, Moshe Z. Abramowitz

“…We believe such an approach can identify potential risks and allow for better decision making.…”
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Solving an Integral Equation via Orthogonal Branciari Metric Spaces by Aiman Mukheimer, Arul Joseph Gnanaprakasam, Absar Ul Haq, Senthil Kumar Prakasam, Gunaseelan Mani, Imran Abbas Baloch

“…As an application, we apply our major results to solving integral equations.…”
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Boundary Stabilization of a Semilinear Wave Equation with Variable Coefficients under the Time-Varying and Nonlinear Feedback by Bei Gong, Xiaopeng Zhao

“…We study the boundary stabilization of a semilinear wave equation with variable coefficients under the time-varying and nonlinear feedback. …”
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Problem With Critical Sobolev Exponent and With Potential on SN by Walid Refai, Habib Yazidi

“…We prove the existence of solutions that depends only on the behavior of the potential q near its minima.…”
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General Decay for the Degenerate Equation with a Memory Condition at the Boundary by Su-Young Shin, Jum-Ran Kang

“…We consider a degenerate equation with a memory condition at the boundary. …”
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