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Positive solutions to a higher‐order nonlinear delay boundary value problem on the half‐line
Author(s) -
Philos Ch. G.
Publication year - 2009
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdp064
Subject(s) - mathematics , constant (computer programming) , boundary value problem , nonlinear system , mathematical analysis , delay differential equation , line (geometry) , differential equation , order (exchange) , type (biology) , half line , value (mathematics) , geometry , computer science , statistics , ecology , physics , finance , quantum mechanics , economics , biology , programming language
The main result of this paper establishes sufficient conditions that guarantee the existence of positive solutions to a boundary value problem on the half‐line for n th‐order ( n > 2) nonlinear differential equations with positive delays. The application of the main result to the particular case of Emden–Fowler‐type differential equations with constant delays as well as to the special case of linear differential equations with constant delays, is also presented. Moreover, some (general or specific) examples demonstrating the applicability of our result are included.