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Oscillation and nonoscillation theorems for a class of even-order quasilinear functional differential equations
Journal of Inequalities and Applications volume 2006, Article number: 42120 (2006)
Abstract
We are concerned with the oscillatory and nonoscillatory behavior of solutions of even-order quasilinear functional differential equations of the type, where
and
are positive constants,
and
are positive continuous functions on
, and
is a continuously differentiable function such that
,
. We first give criteria for the existence of nonoscillatory solutions with specific asymptotic behavior, and then derive conditions (sufficient as well as necessary and sufficient) for all solutions to be oscillatory by comparing the above equation with the related differential equation without deviating argument.
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Manojlović, J., Tanigawa, T. Oscillation and nonoscillation theorems for a class of even-order quasilinear functional differential equations. J Inequal Appl 2006, 42120 (2006). https://doi.org/10.1155/JIA/2006/42120
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DOI: https://doi.org/10.1155/JIA/2006/42120