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Nonoscillation criteria for Emden-Fowler systems

Published online by Cambridge University Press:  17 April 2009

Lynn H. Erbe  and
Xinzhi Liu
Lynn H. Erbe
Affiliation:
Department of Mathematics, University of Alberta Edmonton, Alberta, Canada T6G 2G1
Xinzhi Liu
Affiliation:
Department of Mathematics, University of Alberta Edmonton, Alberta, Canada T6G 2G1
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Abstract

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A number of nonoscillation criteria for the Emden-Fowler system

where a(t), b(t) > 0, r1, r2 > 0 and b(t)/a(t) is locally of bounded variation, are established employing energy function techniques. The results obtained here include many known nonoscillation theorems for the classical Emden-Fowler equations as special cases. We illustrate the results obtained with several examples.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 42 , Issue 3 , December 1990 , pp. 455 - 464
Copyright
Copyright © Australian Mathematical Society 1990

References

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