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Delay differential equations of odd order satisfying property Pk

Published online by Cambridge University Press:  09 April 2009

Raymond D. Terry
Raymond D. Terry
Affiliation:
California Polytechnic State UniversitySan Luis Obispo California 93407, U.S.A.
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Abstract

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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

References

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