Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16621
Title: | Initial value problems in linear integral operator equations |
Author: | Castro, L.P. Rodrigues, M.M. Saitoh, S. |
Keywords: | Integral transform Reproducing kernel Isometric mapping Inversion formula Initial value problem Eigenfunction Eigenvalue Fourier integral transform Inverse problem Lalesco-Picard equation Dixon equation Tricomi equation |
Issue Date: | 11-Jul-2014 |
Publisher: | Springer International Publishing |
Abstract: | For some general linear integral operator equations, we investigate consequent initial value problems by using the theory of reproducing kernels. A new method is proposed which -- in particular -- generates a new field among initial value problems, linear integral operators, eigenfunctions and values, integral transforms and reproducing kernels. In particular, examples are worked out for the integral equations of Lalesco-Picard, Dixon and Tricomi types. |
URI: | http://hdl.handle.net/10773/16621 |
DOI: | 10.1007/978-3-319-06554-0_7 |
ISBN: | 978-3-319-06553-3 |
Appears in Collections: | CIDMA - Capítulo de livro FAAG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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2014_PostPrintInitialValueProb.pdf | Accepted Manuscript | 81.6 kB | Adobe PDF | View/Open |
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