On the almost sure running maxima of solutions of affine stochastic functional differential equations [PDF]
This paper studies the large fluctuations of solutions of scalar and finite-dimensional affine stochastic functional differential equations with finite memory as well as related nonlinear equations.
Wu, H., Appleby, John A.D., Mao, Xuerong
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The real-analytic solutions of the Abel functional equation [PDF]
The authors continue to investigate the Abel equation \[ \phi(Fx)-\phi(x)=1, \qquad x \in X \] where \(\phi:X \to \mathbb R\) is the unknown function, \(X\) is a topological space and \(F:X \to X\) is a continuous mapping. In a previous paper [Stud. Math. 127, No.
Belitskii, G., Lyubich, Yu.
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Real-time dynamic substructuring in a coupled oscillator-pendulum system [PDF]
Real-time dynamic substructuring is a powerful testing method which brings together analytical, numerical and experimental tools for the study of complex structures.
Wagg, DJ +15 more
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By using a multiple fixed point theorem (Avery-Peterson fixed point theorem) for cones, some criteria are established for the existence of three positive periodic solutions for a class of higher-dimensional functional differential equations with impulses
Yongkun Li, Meng Hu
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Estimation of Suspended Sediment Load Using Integrated Intelligent Methods with Considering Model Uncertainty [PDF]
Introduction: Sediment transportation and accurate estimation of its rate is a significant issue for river engineers and researchers. So far, various and complex relationships have been proposed to predict the amount of suspended sediment transport rate,
S.M. Saghebian
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Integrating Bernstein and Improved Block-Pulse Functions for Solving Linear Fredholm Integro-Differential Equations [PDF]
Mathematical modeling of real-life problems usually results in some form of functional equations, e.g. algebraic equations, differential equations, integral equations and others.
Mohamed Ramadan, Heba Osheba
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A real-space Green’s function method for the numerical solution of Maxwell’s equations [PDF]
Author(s): Lo, B; Minden, V; Colella, P | Abstract: A new method for solving the transverse part of the free-space Maxwell equations in three dimensions is presented. By taking the Helmholtz decomposition of the electric field and current sources and considering only the divergence-free parts, we obtain an explicit real-space representation for the ...
Lo, Boris +2 more
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Functional derivatives applied to error propagation of uncertainties in topography to large-aperture scintillometer-derived heat fluxes [PDF]
Scintillometer measurements allow for estimations of the refractive index structure parameter Cn2 over large areas in the atmospheric surface layer. Turbulent fluxes of heat and momentum are inferred through coupled sets of equations derived from the ...
M. A. Gruber +3 more
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Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations [PDF]
Asymptotic stability and boundedness have been two of most popular topics in the study of stochastic functional differential equations (SFDEs) (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980),
Qi Luo +5 more
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We study the solvability of some nonlinear functional integral equations in the Banach algebra of real functions defined, continuous, and bounded on the real half axis.
Józef Banaś, Szymon Dudek
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