Multiple periodic solutions for system of first-order differential equation

Abstract

Sufficient conditions have been obtained for the existence of at least two non-negative periodic solutions to a system of first-order nonlinear functional differential equations. Applications to some ecological models are given.

Keywords:

• periodic solution
• positive solution

AMS Subject Classifications:

• 34K13
• 34C10
• 34C27

Acknowledgements

This work is supported by National Board for Higher Mathematics, Department of Atomic Energy, Government of India, under sponsored research scheme vide grant no. 48/5/2006-R&D-II/1350 dated 26.02.2007.