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On the Relation Between Boundedness and Oscillation of Differential Equations of Second Order
Published online by Cambridge University Press: 20 November 2018
Extract
In this paper we are dealing with differential equations of the forms:
Ei
where the functions pi are positive.
By a solution of an equation of the above forms, we mean a function x(t) ∈ C2 [c, + ∞) where c is a non-negative constant, which satisfies the corresponding equation on the whole interval [c, +∞). By an oscillatory solution of (Ei), we mean a solution with arbitrarily large zeros.
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- Copyright © Canadian Mathematical Society 1967
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