Oscillation theorems for second-order functional differential equations |
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Authors: | J.J.A.M Brands |
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Affiliation: | Technological University, Eindhoven, The Netherlands |
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Abstract: | This paper presents some comparison theorems on the oscillatory behavior of solutions of second-order functional differential equations. Here we state one of the main results in a simplified form: Let q, τ1, τ2 be nonnegative continuous functions on (0, ∞) such that τ1 ? τ2 is a bounded function on [1, ∞) and t ? τ1(t) → ∞ if t → ∞. Then is oscillatory if and only if is oscillatory. |
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