Results 21 to 30 of about 35,438 (237)
Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper studies a nonlinear fractional differential equation of an arbitrary order with four-point nonlocal integral boundary conditions. Some existence results are obtained by applying standard fixed point theorems and Leray-Schauder degree theory ...
Bashir Ahmad, Sotiris Ntouyas
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Investigation of the spectrum for the Sturm-Liouville problem with one integral boundary condition
Nonlinear Analysis, 2010 In this paper, the Sturm–Liouville problem with one classical first type boundary condition and other nonlocal integral boundary conditions of two cases is investigated.
A. Skučaitė +3 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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Nonlinear Analysis, 2023 We study the existence of multiple positive solutions for a nonlinear third-order differential equation subject to various nonlocal boundary conditions.
Sergey Smirnov
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Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains [PDF]
, 2014 We provide new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations.
Infante, Gennaro, Pietramala, Paolamaria
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New Existence Results for Fractional Integrodifferential Equations with Nonlocal Integral Boundary Conditions [PDF]
Abstract and Applied Analysis, 2015 We consider a boundary value problem of fractional integrodifferential equations with new nonlocal integral boundary conditions of the form:x(0)=βx(θ), x(ξ)=α∫η1x(s)ds, and0<θ<ξ<η<1. According to these conditions, the value of the unknown function at the left end pointt=0is proportional to its value at a nonlocal pointθwhile the value at ...
Alsaedi, Ahmed +2 more
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On Coupled Systems for Hilfer Fractional Differential Equations with Nonlocal Integral Boundary Conditions [PDF]
Journal of Mathematics, 2020 In this paper, we study a coupled system involving Hilfer fractional derivatives with nonlocal integral boundary conditions. Existence and uniqueness results are obtained by applying Leray-Schauder alternative, Krasnoselskii’s fixed point theorem, and Banach’s contraction mapping principle. Examples illustrating our results are also presented.
Athasit Wongcharoen +2 more
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On the Dirichlet Problem for Second-Order Elliptic Integro-Differential Equations [PDF]
, 2008 International audienceIn this article, we consider the analogue of the Dirichlet problem for second-order elliptic integro-differential equations, which consists in imposing the "boundary conditions" in the whole complementary of the domain.
Barles, Guy +2 more
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Visco-potential free-surface flows and long wave modelling [PDF]
, 2008 In a recent study [DutykhDias2007] we presented a novel visco-potential free surface flows formulation. The governing equations contain local and nonlocal dissipative terms.
Bona +37 more
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Size-Dependent Free Vibration of Axially Moving Nanobeams Using Eringen’s Two-Phase Integral Model
Applied Sciences, 2018 In this paper, vibration of axially moving nanobeams is studied using Eringen’s two-phase nonlocal integral model. Geometric nonlinearity is taken into account for the integral model for the first time.
Yuanbin Wang +3 more
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