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A Second Order Superlinear Oscillation Criterion

Published online by Cambridge University Press:  20 November 2018

Ch. G. Philos
Ch. G. Philos*
Affiliation:
Department of Mathematics, University of Ioannina Ioannina, Greece
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Abstract

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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].

Keywords

34C1034C15Superlinear differential equationsoscillation
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 1 , 01 March 1984 , pp. 102 - 112
Copyright
Copyright © Canadian Mathematical Society 1984

References

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