Initial value problems in linear integral operator equations

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 value...

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Bibliographic Details
Main Author: Castro, L.P. (author)
Other Authors: Rodrigues, M.M. (author), Saitoh, S. (author)
Format: bookPart
Language:eng
Published: 2017
Subjects:
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
Online Access:http://hdl.handle.net/10773/16621
Country:Portugal
Oai:oai:ria.ua.pt:10773/16621
Description
Summary: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.

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