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Solutions of the Generalized Abel’s Integral Equations of the Second Kind with Variable Coefficients

Chenkuan LiDepartment of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, CanadaHunter PlowmanDepartment of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, Canada
2019en
ABI

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Applying Babenko’s approach, we construct solutions for the generalized Abel’s integral equations of the second kind with variable coefficients on R and R n , and show their convergence and stability in the spaces of Lebesgue integrable functions, with several illustrative examples.

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