Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term

Sufficient conditions are given for the existence of positive solutions of a boundary-value problem concerning a second-order delay differential equation with damping and forcing term whose the delayed part is an actively bounded function, a meaning which is introduced in this paper. The K...

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Main Author:	George L. Karakostas
Format:	Article
Language:	English
Published:	Texas State University 2006-07-01
Series:	Electronic Journal of Differential Equations
Subjects:	Boundary value problems delay differential equations positive solutions Krasnoselskii fixed point theorem.
Online Access:	http://ejde.math.txstate.edu/Volumes/2006/73/abstr.html

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spelling	doaj-ff76633714004d70937992fe5d1901962020-11-25T01:36:35ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-07-01200673112Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing termGeorge L. KarakostasSufficient conditions are given for the existence of positive solutions of a boundary-value problem concerning a second-order delay differential equation with damping and forcing term whose the delayed part is an actively bounded function, a meaning which is introduced in this paper. The Krasnoselskii fixed point theorem on cones in Banach spaces is used.http://ejde.math.txstate.edu/Volumes/2006/73/abstr.htmlBoundary value problemsdelay differential equationspositive solutionsKrasnoselskii fixed point theorem.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	George L. Karakostas
spellingShingle	George L. Karakostas Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term Electronic Journal of Differential Equations Boundary value problems delay differential equations positive solutions Krasnoselskii fixed point theorem.
author_facet	George L. Karakostas
author_sort	George L. Karakostas
title	Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term
title_short	Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term
title_full	Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term
title_fullStr	Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term
title_full_unstemmed	Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term
title_sort	positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2006-07-01
description	Sufficient conditions are given for the existence of positive solutions of a boundary-value problem concerning a second-order delay differential equation with damping and forcing term whose the delayed part is an actively bounded function, a meaning which is introduced in this paper. The Krasnoselskii fixed point theorem on cones in Banach spaces is used.
topic	Boundary value problems delay differential equations positive solutions Krasnoselskii fixed point theorem.
url	http://ejde.math.txstate.edu/Volumes/2006/73/abstr.html
work_keys_str_mv	AT georgelkarakostas positivesolutionsofaboundaryvalueproblemforadifferentialequationwithdampingandactivelyboundeddelayedforcingterm
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Positive solutions of a boundary-value problem for a differential equation with damping and actively bounded delayed forcing term

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