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
Chenkuan Li,Hunter Plowman
2019 · DOI: 10.3390/axioms8040137
Axioms · 14 Citations
TLDR
Applying Babenko's approach, solutions for the generalized Abel’s integral equations of the second kind with variable coefficients on R and R n are constructed and shown to convergence and stability in the spaces of Lebesgue integrable functions.
Abstract
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.