Initial Value Problems in Linear Integral Operator Equations

L. P. Castro (), M. M. Rodrigues () and S. Saitoh ()
Additional contact information
L. P. Castro: University of Aveiro
M. M. Rodrigues: University of Aveiro
S. Saitoh: Institute of Reproducing Kernels

A chapter in Topics in Mathematical Analysis and Applications, 2014, pp 175-188 from Springer

Abstract: 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.

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; Primary 45C05; Secondary 32A30; 42A38; 45A05; 45D05; 45E05; 45P05; 46E22; 47A05 (search for similar items in EconPapers)
Date: 2014
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-06554-0_7

Ordering information: This item can be ordered from
http://www.springer.com/9783319065540

DOI: 10.1007/978-3-319-06554-0_7

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().