Uniqueness of solutions of some second order differential equations

Chao Nien Chen; Roger Nussbaum

Uniqueness of solutions of some second order differential equations

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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)
Pages (from-to)	825-834
Number of pages	10
Journal	Differential and Integral Equations
Volume	6
Issue number	4
State	Published - Jan 1 1993

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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title = "Uniqueness of solutions of some second order differential equations",

abstract = "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.",

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