Results 31 to 40 of about 3,258,064 (367)
Comparative analysis of fractional dynamical systems with various operators
AIMS Mathematics, 2023 This article implements an efficient analytical technique within three different operators to investigate the solutions of some fractional partial differential equations and their systems.
Qasim Khan +3 more
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A historical review of the Cauchy-Riemann equations and the Cauchy Theorem
, 2023 In this article we take a historical tour through the Cauchy-Riemann equations and their relationship with Cauchy's theorem on the independence with respect to the path of the integral of a holomorphic function. Because of its importance we do a detailed and updated study of the contributions of d'Alembert and Euler to these topics.
Cufí Sobregrau, Julià, +1 more
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Boundary Value Problems, 2023 The Cauchy problem of the Laplace equation is investigated for both exact and perturbed data on a doubly connected domain, i.e., the numerical reconstruction of the function value and the normal derivative value on a part of the boundary from the ...
Xingtian Gong, Shuwei Yang
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Particular solution to the Euler-Cauchy equation with polynomial non-homegeneities
, 2011 The Euler-Cauchy differential equation is one of the first, and simplest, forms of a higher order non-constant coefficient ordinary di erential equation that is encountered in an undergraduate differential equations course.
A. Sabuwala, D. D. Leon
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SOLUSI DARI PERSAMAAN CAUCHY–EULER NONHOMOGEN KASUS LOGARITMIK
E-Jurnal Matematika, 2020 Ordinary differential equation is one form of differential equations that are often found in everyday life. One form of ordinary differential equations which has non–constant coefficients is the Cauchy–Euler differential equation.
I GEDE PUTU MIKI SUKADANA +2 more
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Existence of maximal hypersurfaces in some spherically symmetric spacetimes
, 1995 We prove that the maximal development of any spherically symmetric spacetime with collisionless matter (obeying the Vlasov equation) or a massless scalar field (obeying the massless wave equation) and possessing a constant mean curvature $S^1 \times S^2$
Alan D Rendall +16 more
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Cauchy transform and Poisson’s equation
Advances in Mathematics, 2012 Let $u\in W^{2,p}_0$, $1\le p\le \infty$ be a solution of the Poisson equation $ u = h$, $h\in L^p$, in the unit disk. It is proved that $\|\nabla u\|_{L^p} \le a_p\|h\|_{L^p}$ with sharp constant $a_p$ for $p=1$ and $p=\infty$ and that $\|\partial u\|_{L^p} \le b_p\|h\|_{L^p}$ with sharp constant $b_p$ for $p=1$, $p=2$ and $p=\infty$.
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The Cauchy problem on the equation of telegraphy [PDF]
Rendiconti del Circolo Matematico di Palermo, 1922 n ...
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Molecular Oncology, EarlyView.There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes +20 more
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N Wave and Periodic Wave Solutions for Burgers Equations
International Journal of Analysis and Applications, 2020 This article concerns the initial boundary value problem for the non linear dissipative Burgers equation. Our general purpose is to describe the asymptotic behavior of the solution in the Cauchy problem with a small parameter ε for this equation and to ...
Zahia Nouri +2 more
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