Results 41 to 50 of about 8,540,747 (378)
, 2020 This paper deals with the existence of mild solutions for non-linear fractional integrodifferential equations with state-dependent nonlocal conditions. The technique used is a generalization of the classical Darbo fixed point theorem for Frechet spaces ...
M. Benchohra +3 more
semanticscholar +1 more source
Nonlocal Effect on a Generalized Ohta-Kawasaki Model [PDF]
arXiv, 2022 We propose a nonlocal Ohta-Kawasaki model to study the nonlocal effect on the pattern formation of some binary systems with general long-range interactions. While the nonlocal Ohta-Kawasaki model displays similar bubble patterns as the standard Ohta-Kawasaki model, by performing Fourier analysis, we find that the optimal number of bubbles for the ...
arxiv
A Quasilinear Parabolic System with Nonlocal Boundary Condition [PDF]
Boundary Value Problems, 2011 We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal boundary. And then we establish the precise blow-up rate estimate.
Botao Chen +3 more
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Mathematics, 2021 It is well known that Stochastic equations had many useful applications in describing numerous events and problems of real world, and the nonlocal integral condition is important in physics, finance and engineering.
Ahmed M. A. El-Sayed, Hoda A. Fouad
doaj +1 more source
A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems [PDF]
, 2021 We propose a domain decomposition method for the efficient simulation of nonlocal problems. Our approach is based on a multi-domain formulation of a nonlocal diffusion problem where the subdomains share "nonlocal" interfaces of the size of the nonlocal horizon.
arxiv +1 more source
Effect of boundary conditions and constitutive relations on the free vibration of nonlocal beams
Results in Physics, 2020 The free vibrations of nonlocal Euler and Timoshenko beams have been studied extensively, but there still remain some problems concerning boundary conditions and constitutive relations.
Gen Li +3 more
doaj
Green functions for stationary problems with nonlocal boundary conditions
Lietuvos Matematikos Rinkinys, 2008 In this paper the Green functions for various stationary problems with nonlocal boundary conditions are investigated.We compare Green functions properties for classical boundary conditions with properties of Green functions for problems with nonlocal ...
Svetlana Roman, Artūras Štikonas
doaj +1 more source
Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions [PDF]
Boundary Value Problems, 2015 This paper deals with blow-up properties of solutions to a nonlocal parabolic system with nonlocal boundary conditions. The global existence and finite time blow-up criteria are obtained. Moreover, for some special cases, we establish the precise blow-up rate estimates.
Lixin Tian +3 more
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Spatial variation of grassland canopy affects soil wetting patterns and preferential flow
Hydrological Processes, Volume 36, Issue 12, December 2022., 2022 Spatially heterogeneous canopy and pre‐event soil moisture conditions changed soil‐wetting patterns. Taller grass, together with drier soil, weakens soil moisture response, probably because of uneven water input and dryness induced preferential flow. Abstract Canopies shape net precipitation patterns, which are spatially heterogeneous and control soil ...
Gökben Demir +4 more
wiley +1 more source
Positivity of a differential operator with nonlocal conditions
AIP Conference Proceedings, 2015 In the present paper, the positivity of the differential operator with nonlocal boundary conditions is established. The structure of fractional spaces is investigated. In applications, we will obtain new coercive inequalities for the solution of local and nonlocal boundary value problems for parabolic equations.
Nese Nalbant, Allaberen Ashyralyev
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