On determining the location of complex zeros of solutions of certain linear differential equations
type: Item
instance of: scholarly article
title: On determining the location of complex zeros of solutions of certain linear differential equations
zbMATH Open document ID: 0662.34005
DOI: 10.1007/BF01762788
author: Steven B. Bank
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1988-01-01T00:00:00Z
review text: The author investigates the location of zeros of solutions for a class of second-order linear differential equations. In the first part of the paper (Introduction) he makes a presentation of the problem, a survey concerning the results on this problem and shows that it suffices to consider only the following two cases (A) \(m>0\) and \(b<0\), (B) \(0\leq q\leq m\) and \(b>0\). He gives also three theorems concerning the problem in these cases. In the second part of the paper (concepts from the Strodt theory) he proves a lot of lemmas in view to prove the three theorems given in the first part. The key tool in the proofs of Theorems 1, 2 and 3 are asymptotic existence theorems which were proved by W. Strodt.
Mathematics Subject Classification ID: 34M03
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34E05
zbMATH DE Number: 4081977
zbMATH Keywords: second-order linear differential equations
zbMATH Keywords: asymptotic existence theorems
reviewed by: Stefan Balint
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4081977