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 are investigated, the nonlocal nonlinear Schrödinger equation and the nonlocal modified Korteweg–de Vries equation.
Linyu Peng
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Global solutions for abstract functional differential equations with nonlocal conditions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this paper we study the existence of global solutions for a class of abstract functional differential equation with nonlocal conditions. An application is considered.
Eduardo Hernandez, Sueli M. Tanaka Aki
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Monotonic Positive Solutions of Nonlocal Boundary Value Problems for a Second-Order Functional Differential Equation [PDF]
Abstract and Applied Analysis, 2012 We study the existence of at least one monotonic positive solution for the nonlocal boundary value problem of the second-order functional differential equation x′′(t)=f(t,x(ϕ(t))), t∈(0,1), with the nonlocal condition ∑k=1makx(τk)=x0, x′(0)+∑j=1nbjx′(ηj)=
A. M. A. El-Sayed +2 more
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Existence of solutions for an abstract second-order differential equation with nonlocal conditions
Electronic Journal of Differential Equations, 2009 We discuss the existence of mild solutions for abstract second-order differential equation with nonlocal conditions. Also we consider some application of our results.
Eduardo Hernandez M.
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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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, 2001 We introduce the notion of a ghost characteristic for nonlocal differential equations. Ghosts are essential for maintaining the validity of the Jacobi identity for the charateristics of nonlocal vector ...
Olver, Peter J. +5 more
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On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation
, 2021 In this paper, the existence of absolutely continuous solutions and some properties will be studied for a nonlocal boundary value problem of a state-dependent differential equation. The infinite-point boundary condition and the Riemann–Stieltjes integral
Hanaa Ebead +2 more
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Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow [PDF]
, 2013 In this paper, we prove existence and uniqueness of measure solutions for the Cauchy problem associated to the (vectorial) continuity equation with a non-local ow.
Crippa, Gianluca +1 more
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On the mixed local-nonlocal Hénon equation [PDF]
, 2022 In this paper we consider a Hénon-type equation driven by a nonlinear operator obtained as a combination of a local and nonlocal term. We prove existence and non-existence akin to the classical result by Ni, and a stability result as the fractional ...
Salort, Ariel Martin, Vecchi, Eugenio
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A note on the nonlocal boundary value problem for a third order partial differential equation
, 2020 The nonlocal boundary-value problem for a third order partial differential equation in a Hilbert space with a self-adjoint positive definite operator is considered.
Ashyralyev A. +2 more
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