Results 151 to 160 of about 91,889 (335)
On the Heat Equation with Nonlinear and Nonlocal Boundary Conditions
Bartur Jumarhon, S. McKee
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A Nonlocal Problem with Integral Conditions for a Hyperbolic Equation
In this article, we consider two initial-boundary value problems with nonlocal conditions. The main goal is to show the method which allows to prove solvability of a nonlocal problem with integral conditions of the first kind. This method is based on equivalence of a nonlocal problem with integral conditions of the first kind and nonlocal problem with ...
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The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang+5 more
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Quantification at a distance and grammatical illusions in French
Abstract Recent research in psycholinguistics supports the hypothesis that retrieval from working memory is a key component of establishing syntactic dependencies in comprehension. This can result in so‐called grammatical illusions. These illusions have been modeled as the result of a content‐addressable retrieval process in sentence comprehension that
Jérémy Pasquereau+2 more
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On a class of parabolic equations with nonlocal boundary conditions
AbstractIn this paper we study a class of parabolic equations subject to a nonlocal boundary condition. The problem is a generalized model for a theory of ion-diffusion in channels. By using energy method, we first derive some a priori estimates for solutions and then prove that the problem has a unique global solution. Moreover, under some assumptions
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ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis+2 more
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In this article we study a nonlinear parabolic system with nonlinear nonlocal boundary conditions. We prove the uniqueness of the solutions and establish the conditions for global solutions and non-global solutions.
Zhou Sen, Zuodong Yang
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On a class of nonlinear reaction‐diffusion systems with nonlocal boundary conditions [PDF]
Abdelfatah Bouziani
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Nonlocal Mixed Systems With Neumann Boundary Conditions
ABSTRACT We prove well posedness and stability in L1$$ {\mathbf{L}}^1 $$ for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to L1$$ {\mathbf{L}}^1 $$ of classical results about ...
Rinaldo M. Colombo+2 more
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