Singular Semi-Linear Equations in L1(IR).
Abstract
Let g be a positive continuous prime function on IR which tends to zero at - infinity and which is not integrable over IR. The boundary-value problem -u' + g(u) = f, u'(+ or - infinity) = 0, is considered for f as an element of L1(IR). This problem can have a solution if and only if g is integrable at -infinity and if this is so then the problem is solvable precisely when the integral from + infinity to - infinity of f(t)dt > 0. Some extensions of this result are also given.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1976
- Accession Number
- ADA053293
Entities
People
- Stephen D. Fisher
Organizations
- University of Wisconsin–Madison