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Oscillation criteria for second order nonlinear delay inequalities

Published online by Cambridge University Press:  17 April 2009

S. Nababan
Affiliation:
School of Mathematics, University of New South Wales, Kensington, New South Wales.
E.S. Noussair
Affiliation:
School of Mathematics, University of New South Wales, Kensington, New South Wales.
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Abstract

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Oscillation criteria are obtained, for the nonlinear delay differential inequality u(u″+f(t, u(t), u(g(t)))) ≤ 0. The main theorems give sufficient conditions (and in some cases sufficient and. necessary conditions) for all solutions u(t) to have arbitrary large zeros. Generalizations to more general cases are discussed.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1976

References

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