On the theory of convolution equations of the third kind. II

DOI10.1016/j.jmaa.2007.12.042zbMath1148.45006OpenAlexW2093689960MaRDI QIDQ2481893

Lothar von Wolfersdorf, Jaan Janno

Publication date: 15 April 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.12.042

zbMATH Keywords

Abel type integral equationsquadratic integral equationsautoconvolution equationslinear singular Volterra equations

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10)

Related Items (7)

On the Volterra \(\mu\)-functions and the M-Wright functions as kernels and eigenfunctions of Volterra type integral operators ⋮ On the monotonicity of some singular integral operators ⋮ О единственности определения ядра интегро-дифференциального уравнения параболического типа ⋮ Generalization of the Ramanujan's integrals for the Volterra μ -functions via complex contours: representations and approximations ⋮ Autoconvolution equations of the third kind with power-logarithmic coefficients ⋮ Autoconvolution equations of the third kind with Abel integral ⋮ Theoretical and numerical analysis of third-kind auto-convolution Volterra integral equations

Cites Work

• Integro-differential equations of first order with autoconvolution integral. II.
• 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
• The Confluent Hypergeometric Function
• COMPLEX FOURIER--BESSEL TRANSFORMS
• Structural and qualitative properties of the inverse of the fractional integro-differentiation operator with fixed endpoints
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