On the theory of convolution equations of the third kind, II |
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Authors: | Lothar von Wolfersdorf |
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Affiliation: | a TU Bergakademie Freiberg, Fakultät für Mathematik und Informatik, D-09596 Freiberg, Germany b Tallinn University of Technology, Institute of Cybernetics, Akadeemia tee 21, 12618 Tallinn, Estonia |
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Abstract: | Existence results of Part I of the paper are generalized to two types of autoconvolution equations of the third kind having free terms with nonzero values at x=0 like the well-known Bernstein-Doetsch equation for the Jacobian theta zero functions. Also uniqueness results for the linear convolution equations in Part I of the paper are extended to more general function spaces. Further, a special class of integro-differential equations with autoconvolution integral and two classes of the linear singular Abel-Volterra equations are dealt with. |
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Keywords: | Quadratic integral equations Autoconvolution equations Linear singular Volterra equations Abel type integral equations |
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