Abstract
We consider one class of Abel's equation with ill-posed natures. The stable approximate solution is obtained by using the well-known Tikhonov's regularization approach. We also conduct numerical computations to realize the approximate solutions for a concrete equation to demonstrate the applicability of our method.
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Wang, P., Zheng, K. Regularization of an Abel equation. Integr equ oper theory 29, 243–249 (1997). https://doi.org/10.1007/BF01191433
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DOI: https://doi.org/10.1007/BF01191433