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Functional differential equations with nonlocal initial conditions [PDF]
International Journal of Stochastic Analysis, 1996 We study the existence, uniqueness, asymptotic properties, and continuous dependence upon data of solutions to a class of abstract nonlocal Cauchy problems. The approach we use is based on the theory of m‐accretive operators and related evolution equations in Banach spaces.
Sergiu Aizicovici, Yun Gao
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Existence theorems for a class of nonlocal differential equations
Journal of Mathematical Analysis and Applications, 2005 AbstractA class of nonlocal second-order ordinary differential equations of the formy″(x)=f(x,y(x),(y○λ)(x),y′(x)) for continuous f and λ is studied. The equation is supplemented with none, one, or two Robin boundary conditions depending on whether the interval of interest I is finite, semi-infinite or infinite.
Ronald Begg
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Existence of Solutions of Nonlinear Differential Equations with Nonlocal Conditions
Journal of Mathematical Analysis and Applications, 2000 The authors consider the initial value problem for an abstract nonlinear ordinary differential equation of first order in some Banach space. The initial condition, which is a nonlocal condition, is of the type \(y(0)+ g(y)=y_0\), where \(g\) is some continuous function.
Mouffak Benchohra, Sotiris K. Ntouyas
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Spike solutions to a nonlocal differential equation
Communications on Pure & Applied Analysis, 2006 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.
Changfeng Gui, Zhenbu Zhang
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Mild Solutions for Fractional Differential Equations with Nonlocal Conditions [PDF]
Advances in Difference Equations, 2010 This paper is concerned with the existence and uniqueness of mild solution of the fractional differential equations with nonlocal conditions , in a Banach space , where . General existence and uniqueness theorem, which extends many previous results, are given.
Fang Li
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Vibration Characteristics of Magnetostrictive Composite Cantilever Resonator with Nonlocal Effect [PDF]
SensorsTaking the nonlocal effect into account, the vibration governing differential equation and boundary conditions of a magnetostrictive composite cantilever resonator were established based on the Euler magnetoelastic beam theory. The frequency equation and
Yan Xu, Xinchun Shang, Ke Xu
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Nonlocal diffusion second order partial differential equations
Journal of Differential Equations, 2016 Abstract The paper deals with a second order integro-partial differential equation in R n with a nonlocal, degenerate diffusion term. Nonlocal conditions, such as the Cauchy multipoint and the weighted mean value problem, are investigated. The existence of periodic solutions is also studied.
Irene Benedetti +3 more
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Existence and multiplicity of positive solutions for a nonlocal differential equation [PDF]
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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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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