Positive and oscillating solutions of differential equations with delay in critical case
type: Item
instance of: scholarly article
title: Positive and oscillating solutions of differential equations with delay in critical case
zbMATH Open document ID: 0898.34062
DOI: 10.1016/S0377-0427(97)00217-3
published in: Journal of Computational and Applied Mathematics
publication date: 1998-10-15T00:00:00Z
review text: The article is devoted to the existence of positive solutions to nonlinear retarded functional-differential equations. Some criteria of existence and some comparison results are proved. The existence of positive and oscillation solutions to the equation \(x'(t)=-a(t)x(t-\tau)\) in the critical case is proved.
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 1135873
zbMATH Keywords: functional-differential equations
zbMATH Keywords: positive solutions
zbMATH Keywords: oscillation solutions
author: Josef Diblík
reviewed by: Alexandra Rodkina
MaRDI profile type: Publication
cites work: Existence of solutions with a particular form of asymptotics in certain systems of functional differential equations of retarded type
cites work: Asymptotic behaviour of solutions of linear differential equations with delay
cites work: Q4871980
cites work: Q4726625
cites work: Oscillations of first-order delay differential equations in a critical state
cites work: Oscillation and Nonoscillation Criteria for Delay Differential Equations
cites work: Q4003237
cites work: Q4000352
cites work: Q4894463
cites work: Introduction to functional differential equations
cites work: Q4881097
cites work: Q4253583
cites work: Q3913730
cites work: On equivalence of linear functional-differential equations
cites work: Q4280644
cites work: Wazewski's principle for retarded functional differential equations
cites work: A topological principle for retarded functional differential equations of Caratheodory type
cites work: Q5790518
cites work: Q4208445
cites work: On a problem of I. Györi
description: scientific article; zbMATH DE number 1135873