Results 191 to 200 of about 8,540,747 (378)
ABSTRACT In this article, we consider a nonlinear model that was originally proposed for computer virus propagation by Gan and coauthors in 2013. As our first contribution, we re‐examined and extended some analytical results regarding this dynamical system. Secondly, we reformulated it by one nonlinear, nonautonomous differential equation.
Benjamin Wacker
wiley +1 more source
NONLINEAR VARIATIONAL EVOLUTION INEQUALITIES WITH NONLOCAL CONDITIONS [PDF]
Jin‐Mun Jeong+2 more
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ABSTRACT In this work, we combine two different existing two‐compartmental models of ethanol metabolism and propose a nonlinear three‐compartmental model of ethanol metabolism in the human body based on Michaelis‐Menten kinetics for elimination of ethanol in liver cells. Hence, we obtain a system of nonlinear differential equations, which describes the
Benjamin Wacker
wiley +1 more source
A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform
ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
wiley +1 more source
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
wiley +1 more source
Regularity of the Eikonal Equation with Neumann Boundary Conditions in the Plane: Application to Fronts with Nonlocal Terms [PDF]
Pierre Cardaliaguet, Claudio Marchi
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Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley +1 more source
Numerical solutions of reaction–diffusion equations with nonlocal boundary conditions
C. V. Pao
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The One‐Dimensional Coulomb Hamiltonian: Properties of Its Birman–Schwinger Operator
ABSTRACT The objective of the present paper is to study in detail the properties of the Birman–Schwinger operator for a self‐adjoint realization of the one‐dimensional Hamiltonian with the Coulomb potential, both when the Hamiltonian is defined only on ℝ+$$ {\mathbb{R}}_{+} $$ and when it is defined on the whole real line.
S. Fassari+4 more
wiley +1 more source