Results 1 to 10 of about 542,997 (336)
Stochastic models associated to a Nonlocal Porous Medium Equation [PDF]
Modern Stochastics: Theory and Applications, 2018 The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
Alessandro De Gregorio
doaj +4 more sources
Spike solutions to a nonlocal differential equation
Communications on Pure & Applied Analysis, 2005 In this paper we consider a nonlocal differential equation, which is a limiting equation of one dimensional Gierer-Meinhardt model. We study the existence of spike steady states and their stability. We also construct a single-spike quasi-equilibrium solution and investigate the dynamics of spike-like solutions.
C. Gui, Zhenbu Zhang
semanticscholar +3 more sources
Symmetries and reductions of integrable nonlocal partial differential equations [PDF]
Symmetry, 2019 In this paper, symmetry analysis is extended to study nonlocal differential equations, in particular two integrable nonlocal equations, the nonlocal nonlinear Schr\"odinger equation and the nonlocal modified Korteweg--de Vries equation.
Peng, Linyu
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On the nonlinear impulsive Ψ–Hilfer fractional differential equations [PDF]
Mathematical Modelling and Analysis, 2020 In this paper, we consider the nonlinear Ψ-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of solutions.
Kishor D. Kucche +2 more
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Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We consider the symmetry properties of an integro-differential multidimensional Gross-Pitaevskii equation with a nonlocal nonlinear (cubic) term in the context of symmetry analysis using the formalism of semiclassical asymptotics.
Aleksandr L. Lisok +2 more
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Existence and multiplicity of positive solutions for a nonlocal differential equation
Boundary Value Problems, 2011 In this paper, the existence and multiplicity results of positive solutions for a nonlocal differential equation are mainly considered.
Wang Fanglei, An Yukun, Wang Yunhai
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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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Journal of mathematics, 2023 This paper aims to study the existence and uniqueness of the solution for nonlocal multiorder implicit differential equation involving Hilfer fractional derivative on unbounded domains a , ∞ , a ≥ 0 , in an applicable Banach space by
S. T. Thabet, I. Kedim
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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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On a nonlocal differential equation describing roots of polynomials under differentiation [PDF]
Communications in Mathematical Sciences, 2018 In this work we study the nonlocal transport equation derived recently by Steinerberger when studying how the distribution of roots of a polynomial behaves under iterated differentation of the function.
Rafael Granero-Belinch'on
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