On delay differential equations with nonlinear boundary conditions

<p/> <p>The monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary condition has quasisolutions, extremal solutions, or a unique solution. Such results are obtained using techniques of weakly coupled...

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Main Author: Jankowski Tadeusz
Format: Article
Language:English
Published: SpringerOpen 2005-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2005/713031
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spelling doaj-b6db41c6e3fd4e50b852447f5d49e7152020-11-24T23:39:29ZengSpringerOpenBoundary Value Problems1687-27621687-27702005-01-0120052713031On delay differential equations with nonlinear boundary conditionsJankowski Tadeusz<p/> <p>The monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary condition has quasisolutions, extremal solutions, or a unique solution. Such results are obtained using techniques of weakly coupled lower and upper solutions or lower and upper solutions. Corresponding results are also obtained for such problems with more delayed arguments. Some new interesting results are also formulated for delay differential inequalities.</p>http://www.boundaryvalueproblems.com/content/2005/713031
collection DOAJ
language English
format Article
sources DOAJ
author Jankowski Tadeusz
spellingShingle Jankowski Tadeusz
On delay differential equations with nonlinear boundary conditions
Boundary Value Problems
author_facet Jankowski Tadeusz
author_sort Jankowski Tadeusz
title On delay differential equations with nonlinear boundary conditions
title_short On delay differential equations with nonlinear boundary conditions
title_full On delay differential equations with nonlinear boundary conditions
title_fullStr On delay differential equations with nonlinear boundary conditions
title_full_unstemmed On delay differential equations with nonlinear boundary conditions
title_sort on delay differential equations with nonlinear boundary conditions
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2005-01-01
description <p/> <p>The monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary condition has quasisolutions, extremal solutions, or a unique solution. Such results are obtained using techniques of weakly coupled lower and upper solutions or lower and upper solutions. Corresponding results are also obtained for such problems with more delayed arguments. Some new interesting results are also formulated for delay differential inequalities.</p>
url http://www.boundaryvalueproblems.com/content/2005/713031
work_keys_str_mv AT jankowskitadeusz ondelaydifferentialequationswithnonlinearboundaryconditions
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