Topological transversality and boundary value problems on time scales.
type: Item
instance of: scholarly article
title: Topological transversality and boundary value problems on time scales.
zbMATH Open document ID: 1047.34014
author: Johnny Henderson
author: Christopher C. Tisdell
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-01-26T00:00:00Z
review text: The authors present some general existence theorems for solutions to \(n\)th-order boundary value problems on time scales by applying the topological transversality method. A key assumption of these general theorems is that all solutions to certain families of boundary value problems are bounded a priori. Sufficient conditions are then formulated so that all solutions to the boundary value problem under consideration will satisfy certain a priori bounds. The boundary conditions of these boundary value problems may be very general, including nonlinear and mixed variations. The results are then applied to establish existence criteria for specific second-order boundary value problems on time scales.
reviewed by: Patricia J. Y. Wong
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 2032958
zbMATH Keywords: Time scale
zbMATH Keywords: boundary value problem
zbMATH Keywords: topological transversality.
MaRDI profile type: Publication
full work available at URL: j.jmaa.2003.08.030
OpenAlex ID: W2004338448
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DOI: 10.1016/J.JMAA.2003.08.030
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description: scientific article; zbMATH DE number 2032958