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Shock Waves and Abel's Differential Equation
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1964AbstractIt ist shown that the ordinary non‐linear second order differential equation of the phenomenological theory of the one‐dimensional steady shock wave in heat conducting viscous gases can be transformed into the Abelian differential equation of the second class.
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Poisson’s Equation for Abel-Ergodic Theorems
Complex Analysis and Operator TheoryzbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A nonlinear Abel integral equation
2006For the general nonlinear Abel integral equation $$\frac{1}{{\Gamma (\alpha )}}\int\limits_0^x {(x - t)^{\alpha - 1} K(x,t,u(t))dt = f(x),{\text{ 0}} \leqslant x \leqslant 1,0 < \alpha < 1,}$$ some theorems on existence and uniqueness of solutions in L P , 1≤p≤∞, and in C[0, 1] are established.
Dang Dinh Ang, Rudolf Gorenflo
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New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race
New England Journal of Medicine, 2021Lesley A Inker +2 more
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Colloidal Self-Assembly Approaches to Smart Nanostructured Materials
Chemical Reviews, 2022Zhiwei Li Li, Yadong Yin
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Abel’s Integral Equation and Singular Integral Equations
2011Abel’s integral equation occurs in many branches of scientific fields [1], such as microscopy, seismology, radio astronomy, electron emission, atomic scattering, radar ranging, plasma diagnostics, X-ray radiography, and optical fiber evaluation. Abel’s integral equation is the earliest example of an integral equation [2].
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Benchmarking the performance of all-solid-state lithium batteries
Nature Energy, 2020Dominik A Weber +2 more
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