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

• Autorzy: K. G. Mavridis , Ch. G. Philos , P. Ch. Tsamatos
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34K10: Boundary value problems
• 34B18: Positive solutions of nonlinear boundary value problems
• 34B40: Boundary value problems on infinite intervals
• 47H10: Fixed-point theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2006
• Tom: 88
• Numer: 2
• Strony: 173-191

Daty

wydano

2006

Twórcy

autor

K. G. Mavridis

• Department of Mathematics, University of Ioannina, P.O. Box 1186, 451 10 Ioannina, Greece

autor

Ch. G. Philos

• Department of Mathematics, University of Ioannina, P.O. Box 1186, 451 10 Ioannina, Greece

autor

P. Ch. Tsamatos

• Department of Mathematics, University of Ioannina, P.O. Box 1186, 451 10 Ioannina, Greece

Identyfikatory

DOI

10.4064/ap88-2-7