On the numerical solution of a certain class of non-linear cauchy problems arising from integral equation theory
β Scribed by Richard C. Allen
- Publisher
- Springer Vienna
- Year
- 1971
- Tongue
- English
- Weight
- 167 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0010-485X
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π SIMILAR VOLUMES
## Abstract We consider the following two integral equations magnified image the latter subject to the condition β«__v__(__y__)d__y__ = 0, arising from the same problem of determining the distribution of stress in a thin elastic plate in the vicinity of a cruciform crack. In particular, we prove exi
## Abstract In this paper we consider a class of specific Urysohn integral equations for which the solutions are only determined with the exception of rearrangements of function values and associated arguments. As an alternative to Tikhonov's regularization method approximating minimumβnorm solutio
The proofs of Theorems 2 and 3 are very laborious and must be omitted. We merely mention that the proof of Theorem 2 is based on the definition of regular mapping, while the proof of Theorem 3 is based on Lemmas 6,7,17,18,and 19.