Integro-differential equations of the first order with autoconvolution integral

DOI10.1216/JIE-2009-21-1-39zbMath1204.45012MaRDI QIDQ610933

Jaan Janno, Lothar von Wolfersdorf

Publication date: 13 December 2010

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityintegro-differential equationsexistenceasymptoticsBurgers equationautoconvolution equationsturbulence theory

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Volterra integral equations (45D05) Fundamentals of turbulence (76F02)

Related Items (4)

Numerical Analysis and Computational Solution of Integro-Differential Equations ⋮ Autoconvolution equations of the third kind with power-logarithmic coefficients ⋮ Autoconvolution equations of the third kind with Abel integral ⋮ Integro-differential equations of first order with autoconvolution integral. II.

Cites Work

• On a class of generalized autoconvolution equations of the third kind
• On the theory of convolution equations of the third kind
• Nonlinear equations with operators satisfying generalized Lipschitz conditions in scales
• A general class of autoconvolution equations of the third kind
• Numerical experiments on one-dimensional model of turbulence
• On the Determination of a Density Function by Its Autoconvolution Coefficient
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