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Oscillation theorems for semilinear hyperbolic and ultrahyperbolic operators

Published online by Cambridge University Press:  17 April 2009

Mamoru Narita
Mamoru Narita
Affiliation:
Department of Mathematics, Faculty of Science, Hiroshima University, Hiroshima, Japan.
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Abstract

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The oscillation property of the semilinear hyperbolic or ultra-hyperbolic operator L defined by

is studied. Sufficient conditions are provided for all solutions of uL[u] ≤ 0 satisfying certain boundary conditions to be oscillatory. The basis of our results is the non-existence of positive solutions of the associated differential inequalities.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 18 , Issue 1 , February 1978 , pp. 55 - 64
Copyright
Copyright © Australian Mathematical Society 1978

References

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