Results 91 to 100 of about 15,169 (314)
Method of Lines Approximations to Cauchy Problems for Elliptic Equations in Two Dimensions [PDF]
, 2009 Marvin Charton, H.-J. Reinhardt
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Macromolecular Materials and Engineering, EarlyView.A rigorous method, Total Illumination by X‐rays (TIX), is presented to quantify crystalline and amorphous phases in organic materials. Mitigating challenges such as low microabsorption and high amorphous content, an improved, general framework is established, applicable to polymers, MOFs, biological materials, etc.
Shaashwat Saraff +2 more
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Partial difference equations arising from the Cauchy-Riemann equations
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2006 We consider some functional equations arising from the Cauchy-Riemann equations, and certain related functional equations. First we propose a new functional equation (E.1) below, over a $2$-divisible Abelian group, which is a discrete version of the ...
S. Haruki, S. Nakagiri
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Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Mathematische Nachrichten, EarlyView.Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
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Cauchy problem of stochastic kinetic equations
The Annals of Applied Probability48pages
Zhang, Xiaolong, Zhang, Xicheng
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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On the Cauchy Problem for Differential Equations in a Banach Space over the Field of p-Adic Numbers. I [PDF]
, 2003 Myroslav L. Gorbachuk +1 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
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The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas
Symmetry, Integrability and Geometry: Methods and Applications, 2013 To every Darboux integrable system there is an associated Lie group G which is a fundamental invariant of the system and which we call the Vessiot group.
Mark E. Fels, Ian M. Anderson
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