Regularization of an Abel equation

Integral Equations and Operator Theory

Volumn 29, Issue 2, 1997, Pages 243-249

  Wang, Ping ^a   Zheng, Kewang ^b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b HEBEI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031473730     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01191433     Document Type: Article

References (9)

1. Ang, D. D., Gorenflo, R. and Hai, D. D., Regularization of a generalizaed Abel integral equation, Applicable Analysis, Vol 45 (1992), pp. 321 - 332.
2. Bakaev, N. Y. and Tarasov, R. P., Semigroups and a method for stability solving the Abel equations, Siberiab Math. J., 19 (1978) No. 1, pp. 1 - 5.
3. Bugheǐm, A. L., Volterra Equations and Inverse Problems, Nauka, Siberian Branch, Novosibirsk, 1983.
4. Gorenflo, R. and Vessella, S., Abel Integral Equations: Analysis and Applications, Lecture Notes in Mathematics, 1461, Springer-Verlag, 1991.
5. Hai, D. D. and Ang, D. D., Regularization of Abel's integral equation, Proc. of Royal Society of Edinburgh, 107 A (1987), pp. 165 - 168.
6. Lavrent'ev, M. M., Romanov, V. G. and Šišatskij, S. P., Problemi non ben posti in Fisica Matematica e Analisi. (Quaderno I. A. G. A., Serie "Problemi non ben posti ed inversi," No. 12, 1983).
7. Vessella, S. Stability results for Abel equations, J. of Integral Equations, 9, (1985), pp. 125 - 134.
8. Tikhonov, A. N. and Arsenin, V. Y., Solution of Ill-posed Problems, John Wiley & Sons, 1977.
9. Wang, P. and Zheng, K., Numerical approximation of an unknown boundary term in a heat equation. Neural, Parallel and Scientific Computations 2 (1994), pp. 451 - 458.