Disconjugacy and nonoscillation domains for nonlinear singular interface problems on semi-infinite time scales
type: Item
instance of: scholarly article
title: Disconjugacy and nonoscillation domains for nonlinear singular interface problems on semi-infinite time scales
zbMATH Open document ID: 1243.34138
DOI: 10.5402/2011/254695
author: D. K. K. Vamsi
author: Pallav Kumar Baruah
published in: ISRN Mathematical Analysis
publication date: 2012-04-03T00:00:00Z
review text: Summary: We define and discuss the disconjugacy \((\mathcal D)\) and nonoscillation \((\mathcal N)\) domains for a pair of dynamic equations along with matching interface conditions on the semi-infinite time scale \([0, c]_{\mathbb T} \cup [\sigma (c), \infty]_{\mathbb T}\). We show that these domains are closed and convex subsets of the parameter space \(\mathbb R^{n+m}\). The theory developed is used to discuss the oscillatory behavior of initial and boundary value problems associated with interface problems in the fields of applied elasticity, acoustic wave guides in ocean, and transverse vibrations in strings.
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 6021195
Wikidata QID: Q58689126
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2011/254695
OpenAlex ID: W1976876475
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description: scientific article; zbMATH DE number 6021195