Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions
Journal of Mathematical Analysis and Applications, 1995 The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent ...
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Nonlocal Conditions for Lower Semicontinuous Parabolic Inclusions [PDF]
Advances in Difference Equations, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions
Boundary Value Problems, 2007 A generalization of the comparison principle for a semilinear and a quasilinear parabolic equations with nonlocal boundary conditions including changing sign kernels is obtained.
Yuandi Wang, Hamdi Zorgati
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Numerical schemes for a class of nonlocal conservation laws: a general approach
Networks and Heterogeneous Media, 2023 In this work we present a rather general approach to approximate the solutions of nonlocal conservation laws. In a first step, we approximate the nonlocal term with an appropriate quadrature rule applied to the spatial discretization.
Jan Friedrich +2 more
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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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Nondensely defined evolution equations with nonlocal conditions
Mathematical and Computer Modelling, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ezzinbi, K., Liu, James H.
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The consistency conditions and the smoothness of generalized solutions of nonlocal elliptic problems [PDF]
, 2014 We study smoothness of generalized solutions of nonlocal elliptic problems in plane bounded domains with piecewise smooth boundary. The case where the support of nonlocal terms can intersect the boundary is considered.
Gurevich, Pavel
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
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Nonlocal problems with Neumann boundary conditions [PDF]
Revista Matemática Iberoamericana, 2017 We introduce a new Neumann problem for the fractional Laplacian arising from a simple probabilistic consideration, and we discuss the basic properties of this model. We can consider both elliptic and parabolic equations in any domain. In addition, we formulate problems with nonhomogeneous Neumann conditions, and also with mixed Dirichlet and Neumann ...
Serena Dipierro +2 more
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