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Annali di Matematica Pura ed Applicata

, Volume 82, Issue 1, pp 123–133 | Cite as

Oscillation criteria for nonlinear second order equations

  • W. J. Coles
Article

Summary

A necessary and a sufficient condition are given for oscillation of all solutions of y″+f(t, y)=0. We sequire that a(t)α(y)≤f(t, y) if y>0, and f(t, y)<-b(t)β(y) if y<0, together with continuity and integrability assumptions on a, b, α, and β. Of speciat interest here is the relaxing of conditions a≥0, b≥0 in Machi - Wong [6].

Keywords

Order Equation Oscillation Criterion Integrability Assumption Speciat Interest 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Nicola Zanichelli Editore 1969

Authors and Affiliations

  • W. J. Coles

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