Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
Tychynin, V. +2 more
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Distributed optimal control of a nonstandard nonlocal phase field system [PDF]
, 2016 We investigate a distributed optimal control problem for a nonlocal phase field model of viscous Cahn-Hilliard type. The model constitutes a nonlocal version of a model for two-species phase segregation on an atomic lattice under the presence of ...
Colli, Pierluigi +2 more
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Boundary Controllability of Differential Equations with Nonlocal Condition
Journal of Mathematical Analysis and Applications, 1999 Global exact boundary controllability in a given time-interval of a semilinear abstract dynamical system is considered. It is generally assumed that the dynamical system is defined in an infinite-dimensional Banach space, that it contains both a linear and a nonlinear part, and that, moreover, it satisfies the so-called nonlocal conditions.
Hyo-Keun Han, Jong Yeoul Park
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On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations [PDF]
, 2019 In this paper, we consider the nonlinear $\Psi$-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of results.
Kharade, Jyoti P. +2 more
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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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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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Impulsive functional‐differential equations with nonlocalconditions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional‐differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C0 semigroup of operators and the Banach contraction theorem are applied.
Valéry Covachev +2 more
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Existence and multiplicity of positive solutions for a nonlocal differential equation
, 2011 In this paper, the existence and multiplicity results of positive solutions for a nonlocal differential equation are mainly considered.
Yunhai Wang, Fanglei Wang, Yukun An
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On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type
, 2011 We study the existence of positive solutions to the following nonlocal boundary value problem in , on , where , is a Carathéodory function, is a positive continuous function, and is a real parameter. Direct variational methods are used.
G. Anello
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CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE
International Journal of Apllied Mathematics, 2019 The aim of the present paper is to prove the existence of solutions of the initial value problem for a nonlinear integro-differential equation of fractional order α ∈ (0, 1) with nonlocal conditions in Banach spaces.
Mohammed S Abdo +2 more
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