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Physics Letters B, 2019 An exact solution for the scattering wavefunction from a nonlocal potential in the presence of Coulomb interaction is presented. The approach is based on the construction of a Coulomb Green's function in coordinate space whose associated kernel involves ...
H.F. Arellano, G. Blanchon
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On a Multivalued Differential Equation with Nonlocality in Time [PDF]
Vietnam Journal of Mathematics, 2020 AbstractThe initial value problem for a multivalued differential equation is studied, which is governed by the sum of a monotone, hemicontinuous, coercive operator fulfilling a certain growth condition and a Volterra integral operator in time of convolution type with exponential decay.
Eikmeier, André, Emmrich, Etienne
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Pull-in Instability Analysis of a Nanocantilever Based on the Two-Phase Nonlocal Theory of Elasticity [PDF]
Journal of Applied and Computational Mechanics, 2022 This paper deals with the pull-in instability of cantilever nano-switches subjected to electrostatic and intermolecular forces in the framework of the two-phase nonlocal theory of elasticity.
Gennadi Mikhasev +2 more
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Semiclassical Approach to the Nonlocal Kinetic Model of Metal Vapor Active Media
Mathematics, 2021 A semiclassical approach based on the WKB–Maslov method is developed for the kinetic ionization equation in dense plasma with approximations characteristic of metal vapor active media excited by a contracted discharge.
Alexander V. Shapovalov +1 more
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Longitudinal Vibration of Nanobeams by Two-Phase Local/Nonlocal Elasticity, Rayleigh Theory, and Generalized Differential Quadrature Method [PDF]
Mechanics of Advanced Composite Structures, 2023 To solve a differential equation of motion via more reliable procedures, it is essential to realize their efficiency. Whether Rayleigh's theory can be a compatible platform with two-phase local/nonlocal elasticity to render more reliable results compared
Reza Nazemnezhad, Roozbeh Ashrafian
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Nonlocal Fractional Differential Equations and Applications [PDF]
Complex Analysis and Operator Theory, 2020 Boundary value problems for nonlocal fractional elliptic equations with parameter in Banach spaces are studied. Uniform $L_p$-separability properties and sharp resolvent estimates are obtained for elliptic equations in terms of fractional derivatives.
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Bernoulli, 2022 We study the "periodic homogenization" for a class of nonlocal partial differential equations of parabolic-type with rapidly oscillating coefficients, related to stochastic differential equations driven by multiplicative isotropic $α$-stable Lévy noise ...
Huang, Qiao +2 more
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Non-real eigenvalues of nonlocal indefinite Sturm–Liouville problems
Boundary Value Problems, 2019 The present paper deals with non-real eigenvalues of regular nonlocal indefinite Sturm–Liouville problems. The existence of non-real eigenvalues of indefinite Sturm–Liouville differential equation with nonlocal potential K ( x , t ) $K(x,t)$ associated ...
Fu Sun +3 more
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On a multipoint nonlocal initial value problem for a singularly-perturbed first-order ODE [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 A linear first order ordinary differential equation (ODE) with a positive parameter $\varepsilon$ and a multipoint nonlocal initial value condition (NLIVC) is considered.
Dovlet M. Dovletov
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Infinite point and Riemann–Stieltjes integral conditions for an integro-differential equation
Nonlinear Analysis, 2019 In this paper, we study the existence of solutions for two nonlocal problems of integro-differential equation with nonlocal infinite-point and Riemann–Stieltjes integral boundary conditions. The continuous dependence of the solution will be studied.
Ahmed El-Sayed, Reda Gamal
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