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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Partial differential systems with nonlocal nonlinearities: Generation and solutions [PDF]
, 2018 We develop a method for generating solutions to large classes of evolutionary partial differential systems with nonlocal nonlinearities. For arbitrary initial data, the solutions are generated from the corresponding linearized equations.
Beck, Margaret +3 more
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A new nonlocal nonlinear diffusion equation for image denoising and data analysis [PDF]
, 2017 In this paper we introduce and study a new feature-preserving nonlinear anisotropic diffusion for denoising signals. The proposed partial differential equation is based on a novel diffusivity coefficient that uses a nonlocal automatically detected ...
Aletti, Giacomo +2 more
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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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Free vibrations of nonlocally elastic rods [PDF]
, 2019 Several of the Eringen’s nonlocal stress models, including two-phase and purely nonlocal integral models, along with the simplified differential model, are studied in case of free longitudinal vibrations of a nanorod, for various types of boundary ...
Avdeichik, E +2 more
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Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity [PDF]
, 2010 We study the Gross-Pitaevskii equation involving a nonlocal interaction potential. Our aim is to give sufficient conditions that cover a variety of nonlocal interactions such that the associated Cauchy problem is globally well-posed with non-zero ...
André de Laire +15 more
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Hyperbolic differential-difference equations with nonlocal potentials [PDF]
Ufa Mathematical Journal, 2021 Summary: We consider a three-parametric set of solutions for a two-dimensional hyperbolic differential-difference equation in a half-plane containing the sum of a differential operator and shift operators with respect to a spatial variable ranging on the entire real axis (or a differential-difference equation with nonlocal potentials).
openaire +2 more sources
Nonclassical Problem for Ultraparabolic Equation in Abstract Spaces
Journal of Function Spaces, 2016 Nonclassical problem for ultraparabolic equation with nonlocal initial condition with respect to one time variable is studied in abstract Hilbert spaces.
Gia Avalishvili, Mariam Avalishvili
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Chaos prediction in nano-resonators based on nonlocal elasticity theory
MATEC Web of Conferences, 2018 By decreasing the thickness of micro- and nano- beams, classical continuum theory is not accurate to predict the static and dynamic response due to the absence of length scale parameter.
Nahvi Hassan, Maleki Mehdi
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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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