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Delay differential equations of odd order satisfying property Pk
Published online by Cambridge University Press: 09 April 2009
Abstract
The property Pk(K = 0,1,…,n) is formulated. For k = 0, n this property reduces to conditions A and B defined by Kiguradze (1962) for a class of ordinary differential equations. Sufficient conditions are then given which guarentee that a class of delay differential equations of odd order possesses property Pk. The property PK is also seen to be useful in reducing the number of types of positve solutions of a related nonhomogeneous delay differential equation.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 20 , Issue 4 , November 1975 , pp. 451 - 467
- Copyright
- Copyright © Australian Mathematical Society 1975