On the position of zeros and extrema of oscillatory solutions of second order differential equations
type: Item
instance of: scholarly article
title: On the position of zeros and extrema of oscillatory solutions of second order differential equations
zbMATH Open document ID: 0944.34023
author: Enrich Müller-Pfeiffer
published in: Differential Equations and Dynamical Systems
publication date: 2000-09-04T00:00:00Z
review text: The author studies the position of zeros and extrema of solutions to the nonselfadjoint differential equation \( u'' +a(x)u'+b(x)u=0\). His results are generalizations of well-known theorems on oscillatory solutions to the selfadjoint equation \(u'' +a(x)u=0\) [\textit{P. Hartman}, Ordinary differential equations, John Wiley \& Sons, Inc., New York etc. (1964; Zbl 0125.32102) and \textit{A. Laforgia}, Indagationes Math. 44, 295-301 (1982; Zbl 0512.34018)].
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 1014348
zbMATH Keywords: oscillatory solution
zbMATH Keywords: zeros
zbMATH Keywords: extrema
reviewed by: Duo Wang
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1014348