Accession Number:

AD0657162

Title:

ON THE CONTINUITY OF A NONLINEAR INTEGRAL OPERATOR.

Descriptive Note:

APL library bulletin translations series,

Corporate Author:

JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s):

Report Date:

1967-05-26

Pagination or Media Count:

8.0

Abstract:

Let G and G be bounded closed regions in R superscript n let Kt,s,u and St,s,u carry G x G x R into R and satisfy the Caratheodory conditions measurable in t and s for all u, and continuous in u for almost all t,s. The author gives a majorization criterion for continuity and definition everywhere of the Urysohn operator Kxt the integral taken over G of Kt,s,xs ds.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE