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Oscillation theorems for semilinear hyperbolic and ultrahyperbolic operators
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...
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Published in: | Bulletin of the Australian Mathematical Society 1978-02, Vol.18 (1), p.55-64 |
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Main Author: | |
Format: | Article |
Language: | English |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | 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. |
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ISSN: | 0004-9727 1755-1633 |
DOI: | 10.1017/S0004972700007802 |