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Reforestation scenarios shape global and regional temperature outcomes. [PDF]

Commun Earth Environ
Fahrenbach NLS, De Hertog SJ, Jäger F, Lawrence PJ, Jnglin Wills RC.   +4 more
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Straight Disclinations in Fractional Nonlocal Medium. [PDF]

Materials (Basel)
Kyrylych T, Povstenko Y.
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A note on a generalized double series. [PDF]

PLoS One
Reynolds R.
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A class of stochastic nonlocal evolution equations with nonlocal initial conditions

Analysis and Applications, 2023
In this paper, we consider the existence and uniqueness of mild solutions for stochastic nonlocal evolution equations with Lévy diffusion operator and nonlocal initial conditions. Based on the continuity of the Lévy semigroup and the technique of the measure of noncompactness, we establish the local existence of mild solutions in [Formula: see text ...
Yarong Liu, Yejuan Wang, Peter E. Kloeden   +2 more
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Abstract reaction–diffusion systems with nonlocal initial conditions

Nonlinear Analysis: Theory, Methods & Applications, 2014
The authors study the abstract nonlinear first-order delay reaction-diffusion system with nonlocal initial conditions \[ \begin{aligned} & u'(t) \in Au(t)+f(t,u_{t},v_{t}), \;t\in [ 0,\infty),\\ & v'(t) \in Bv(t)+g(t,u_{t},v_{t}), \;t\in [ 0,\infty),\\ & u(t)=p(u,v)(t), \;t\in [ -\tau ,0],\\ & v(t)=q(u,v)(t), \;t\in [ -\tau ,0],\end{aligned}\tag{1 ...
Burlică, Monica-Dana, Roşu, Daniela, Vrabie, Ioan I.   +2 more
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Nonlocal initial conditions for fractional diffusion problems

AIP Conference Proceedings, 2017
We discuss the existence and uniqueness of solutions of nonlinear space-fractional diffusion equations subject to an initial condition of integral type. Our approach shall rely on fixed point theorems.We discuss the existence and uniqueness of solutions of nonlinear space-fractional diffusion equations subject to an initial condition of integral type ...
Abdelkader Boucherif, Boumediene Abdellaoui, Tarik Mohamed Touaoula   +2 more
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On Impulsive Hyperbolic Differential Inclusions with Nonlocal Initial Conditions

Journal of Optimization Theory and Applications, 2008
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Chang, Y.-K., Nieto, J. J., Li, W.-S.
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Regularity for evolution equations with nonlocal initial conditions

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Pengyu, Zhang, Xuping, Li, Yongxiang   +2 more
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Arbitrary initial conditions of nonlocal hidden variables

Physical Review D, 1984
A deterministic nonlocal hidden-variable theory with arbitrary initial conditions is consistent with quantum theory. The sufficiency conditions for the hidden variables are developed.
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Viability for delay evolution equations with nonlocal initial conditions

Nonlinear Analysis: Theory, Methods & Applications, 2015
The authors consider the problem \[ u'(t)\in Au(t)+f(t,u_t),\,\, t\in R_+, \] \[ u(t)=g(u)(t), \,\, t\in [-\sigma, 0], \] where \(X\) is a real Banach space; \(A : D(A) \subset X \rightsquigarrow X\) is the infinitesimal generator of a nonlinear semigroup; \(K : R_+ \rightsquigarrow \overline{D(A)};\) \(L = \{(t, \phi) \in R_+ \times C_\sigma \,\, :\,\,
Necula, Mihai, Popescu, Marius, Vrabie, Ioan I.   +2 more
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