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On the existence of positive solutions on the half-line to nonlinear two-dimensional delay differential systems
Published online by Cambridge University Press: 23 September 2009
Abstract
This paper is concerned with a boundary-value problem on the half-line for nonlinear two-dimensional delay differential systems with positive delays. A theorem is established, which provides sufficient conditions for the existence of positive solutions. The application of this theorem to the special case of second-order nonlinear delay differential equations is given. Also, the application of the theorem to two-dimensional Emden–Fowler-type delay differential systems with constant delays is presented. Moreover, some general examples demonstrating the applicability of the theorem are included.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 52 , Issue 3 , October 2009 , pp. 771 - 786
- Copyright
- Copyright © Edinburgh Mathematical Society 2009