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Multiple positive solutions for a second order delay boundary value problem on the half-line

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Mavridis K., Philos C., Tsamatos P.

Annales Polonici Mathematici

2006

tom 88

nr 2

173-191

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Mavridis K.

1 Philos C.

1 Tsamatos P.

1 2006

Wyniki wyszukiwania

Multiple positive solutions for a second order delay boundary value problem on the half-line