A Characterization of the Solution of a Fredholm Integral Equation with L∞ Forcing Term

Authors

Hideaki Kaneko, Old Dominion UniversityFollow
Richard Noren, Old Dominion UniversityFollow
Yuesheng Xu

Document Type

Article

Publication Date

1990

DOI

10.1216/jiea/1181075587

Publication Title

Journal of Integral Equations and Applications

Volume

2

Issue

4

Pages

581-594

Abstract

In this paper we investigate the regularity properties of the Fredholm equation (Formula Presented) . The kernel is the product of the smooth function k and the singular function gα (Formula Presented). The forcing function f is in L∞. We obtain a decomposition of the solution as the sum of two functions—one with a discontinuity reflecting that of the forcing function—and the other a regular function. Our results extend those of C. Schneider [6], who assumes a condition that is stronger than f ∈ C[a, b] ∩ C^m(a,b) (for some integer m). © 1990 Rocky Mountain Mathematics Consortium.

Original Publication Citation

Kaneko, H., Noren, R., & Xu, Y. (1990). A characterization of the solution of a Fredholm integral equation with L∞ forcing term. Journal of Integral Equations and Applications, 2(4), 581-594. doi:10.1216/jiea/1181075587

Repository Citation

Kaneko, Hideaki; Noren, Richard; and Xu, Yuesheng, "A Characterization of the Solution of a Fredholm Integral Equation with L∞ Forcing Term" (1990). Mathematics & Statistics Faculty Publications. 30.
https://digitalcommons.odu.edu/mathstat_fac_pubs/30