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Vibration Characteristics of Magnetostrictive Composite Cantilever Resonator with Nonlocal Effect [PDF]
SensorsTaking the nonlocal effect into account, the vibration governing differential equation and boundary conditions of a magnetostrictive composite cantilever resonator were established based on the Euler magnetoelastic beam theory. The frequency equation and
Yan Xu, Xinchun Shang, Ke Xu
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On the Schrödinger-parabolic equation with multipoint nonlocal boundary condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2023 The nonlocal boundary value problem for a Schrödinger-parabolic equation with multipoint nonlocal boundary conditions is examined. Stability estimates for the solution of this problem are established.
Yıldırım Özdemir
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A non-local problem with integral conditions of the first kind for the string vibration equation
Вестник Самарского университета: Естественнонаучная серия, 2023 The article considers a problem with integral nonlocal conditions of the first kind. The main goal is to prove the unique solvability of a nonlocal problem with integral conditions of the 1st kind, if the kernels of these conditions depend not only on ...
Y. S. Buntova
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A problem with nonlocal conditions for a one-dimensional parabolic equation [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 In present paper, we consider a problem with nonlocal conditions for parabolic equation and show that there exists a unique weak solution in Sobolev space.
Alexander B. Beylin +2 more
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Mathematics, 2022 In this paper, the numerical solutions of the backward and forward non-homogeneous wave problems are derived to address the nonlocal boundary conditions.
Chein-Shan Liu +3 more
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Nonlocal Neumann boundary conditions
Bruno Pini Mathematical Analysis Seminar, 2023 We present some properties of a nonlocal version of the Neumann boundary conditions associated to problems involving the fractional p-Laplacian. For this problems, we show some regularity results for the general case and some existence results for ...
Edoardo Proietti Lippi
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Mathematical Models with Nonlocal Initial Conditions: An Exemplification from Quantum Mechanics
Mathematical and Computational Applications, 2021 Nonlocal models are ubiquitous in all branches of science and engineering, with a rapidly expanding range of mathematical and computational applications due to the ability of such models to capture effects and phenomena that traditional models cannot ...
Dmytro Sytnyk, Roderick Melnik
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A nonlocal problem for loaded partial differential equations of fourth order
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A nonlocal problem for the fourth order system of loaded partial differential equations is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova +2 more
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Semi-Analytical Solution for Vibration of Nonlocal Piezoelectric Kirchhoff Plates Resting on Viscoelastic Foundation [PDF]
Journal of Applied and Computational Mechanics, 2018 Semi-analytical solutions for vibration analysis of nonlocal piezoelectric Kirchhoff plates resting on viscoelastic foundation with arbitrary boundary conditions are derived by developing Galerkin strip distributed transfer function method.
D.P. Zhang, Yongjun Lei, Z.B. Shen
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Mathematics in Engineering, 2023 Motivated by some variational problems from a nonlocal model of mechanics, this work presents a set of sufficient conditions that guarantee a compact inclusion in the function space of $ L^{p} $ vector fields defined on a domain $ \Omega $ that is either
Qiang Du +2 more
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