Geodesic
Multiple positive solutions for a second order delay boundary value problem on the half-line
K. G. Mavridis1 ; Ch. G. Philos1 ; P. Ch. Tsamatos1
1 Department of Mathematics University of Ioannina P.O. Box 1186 451 10 Ioannina, Greece
Annales Polonici Mathematici, Tome 88 (2006) no. 2, pp. 173-191.

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Second order nonlinear delay differential equations are considered, and Krasnosel'skiĭ's fixed point theorem is used to establish a result on the existence of positive solutions of a boundary value problem on the half-line. This result can be used to guarantee the existence of multiple positive solutions. A specification of the result obtained to the case of second order nonlinear ordinary differential equations as well as to a particular case of second order nonlinear delay differential equations is also presented. The applicability of the main result is demonstrated by an example.
DOI : 10.4064/ap88-2-7
Keywords: second order nonlinear delay differential equations considered krasnoselski fixed point theorem establish result existence positive solutions boundary value problem half line result guarantee existence multiple positive solutions specification result obtained second order nonlinear ordinary differential equations particular second order nonlinear delay differential equations presented applicability main result demonstrated example

K. G. Mavridis 1 ; Ch. G. Philos 1 ; P. Ch. Tsamatos 1

1 Department of Mathematics University of Ioannina P.O. Box 1186 451 10 Ioannina, Greece 
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K. G. Mavridis; Ch. G. Philos; P. Ch. Tsamatos. Multiple positive solutions for a second order
 delay boundary value problem on the half-line. Annales Polonici Mathematici, Tome 88 (2006) no. 2, pp. 173-191. doi : 10.4064/ap88-2-7. http://geodesic.mathdoc.fr/articles/10.4064/ap88-2-7/

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