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A Second Order Superlinear Oscillation Criterion
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- Journal:
- Canadian Mathematical Bulletin / Volume 27 / Issue 1 / 01 March 1984
- Published online by Cambridge University Press:
- 20 November 2018, pp. 102-112
- Print publication:
- 01 March 1984
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- Article
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A new oscillation criterion is given for general superlinear ordinary differential equations of second order of the form x″(t)+ a(t)f[x(t)]=0, where a ∈ C([t0∞,)), f∈C(R) with yf(y)>0 for y≠0 and
and f is continously differentiable on R-{0} with f'(y)≥0 for all y≠O. In the special case of the differential equation 
(γ > 1) this criterion leads to an oscillation result due to Wong [9].
and 
(γ > 1) this criterion leads to an oscillation result due to Wong [9].