A new comparison argument is presented for proving uniqueness of solutions having any prescribed number of nodes. We can treat equations with less smoothness on the nonlinearity and obtain more information about the locations of the nodes of the solutions. The method is also useful in dealing with uniqueness of solutions to boundary value problems on the real line.
|Original language||English (US)|
|Number of pages||10|
|Journal||Differential and Integral Equations|
|State||Published - Jan 1 1993|
All Science Journal Classification (ASJC) codes
- Applied Mathematics