Autoconvolution equations of the third kind with Abel integral

DOI10.1216/JIE-2011-23-1-113zbMath1219.45002MaRDI QIDQ548795

Lothar von Wolfersdorf

Publication date: 30 June 2011

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

zbMATH Keywords

fractional integralAbel type integral equationsquadratic integral equationsautoconvolution equationsexceptional equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05) Volterra integral equations (45D05) Integral equations with kernels of Cauchy type (45E05)

Related Items (3)

Collocation methods for nonlinear convolution Volterra integral equations with multiple proportional delays ⋮ High-order convergence of multistep collocation methods for nonstandard Volterra integral equations ⋮ Theoretical and numerical analysis of third-kind auto-convolution Volterra integral equations

Cites Work

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• Integro-differential equations of the first order with autoconvolution integral
• 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
• On the theory of convolution equations of the third kind. II
• A general class of autoconvolution equations of the third kind
• A specific inverse problem for the Volterra convolution equation
• On the Determination of a Density Function by Its Autoconvolution Coefficient

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