First-Order Partial Differential Equation with a Nonlocal Boundary Condition
In this paper, the initial value problem for the first-order partial differential equation with the nonlocal boundary condition is studied. The positivity of the space operator A(x) generated by this problem in interpolation spaces is established.
Erdogan, Abdullah S. +3 more
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Existence of solution for Hilfer fractional differential problem with nonlocal boundary condition
This paper is devoted to study the existence of a solution to Hilfer fractional differential equation with nonlocal boundary condition in Banach spaces.
BHAIRAT, Sandeep P. +3 more
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Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions
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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An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems
In this paper we consider 2D nonlocal diffusion models with a finite nonlocal horizon parameter δ characterizing the range of nonlocal interactions, and consider the treatment of Neumann-like boundary conditions that have proven challenging for ...
Huaiqian You +5 more
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Solvability of the -Laplacian with nonlocal boundary conditions
Sufficient conditions are obtained for the existence of at least one positive solution to a nonlinear boundary value problem with nonlocal linear boundary conditions \[ [\Phi(x'(t))]'+ c(t)(Fx)(t)= 0,\qquad t\in (0,1), \] \[ x(0)- L_0(x)= x(1)- L_1(x)= 0, \] where \(\Phi\) is an increasing homeomorphism of the real lline onto itself, \(F\) is a ...
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On a Problem of Cross-Diffusion with Nonlocal Boundary Conditions [PDF]
Condition of global existence of solution of a non-linear system of cross-diffusion with non-linear boundary conditions is studied in the paper.
Rakhmonov, Zafar R., Urunbayev, Jasur E.
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Large Transverse Thermoelectric Effect in Weyl Semimetal TaIrTe4 Engineered for Photodetection
This experimental work shows that the anomalous scanning photocurrent response patterns of the Weyl semimetal TaIrTe4${\rm TaIrTe}_4$ under visible and long‐wave infrared illumination are due to a large transverse thermoelectric response of the material.
Morgan G. Blevins +6 more
wiley +1 more source
In this paper we consider initial boundary value problem for nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition and nonnegative initial datum.
Gladkov, Alexander
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Spin‐Split Edge States in Metal‐Supported Graphene Nanoislands Obtained by CVD
Combining STM measurements and ab‐initio calculations, we show that zig‐zag edges in graphene nanoislands grown on Ni(111) by CVD retrieve their spin‐polarized edge states after intercalation of a few monolayers of Au. ABSTRACT Spin‐split states localized on zigzag edges have been predicted for different free‐standing graphene nanostructures.
Michele Gastaldo +6 more
wiley +1 more source
Existence of mild solutions on semiinfinite interval for first order differential equation with nonlocal condition [PDF]
summary:In this paper we investigate the existence of mild solutions defined on a semiinfinite interval for initial value problems for a differential equation with a nonlocal condition.
Benchohra, M., Ntouyas, S. K.
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