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

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

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.