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Annali di Matematica Pura ed Applicata

, Volume 94, Issue 1, pp 257–268 | Cite as

Oscillation criteria for second order nonlinear differential equations

Article

Summary

Various sufficient conditions are obtained which guarantee that all continuable solutions of (1.1) y″+q(t)y′+p(t)f(y)=0 are oscillatory. No explicit sign assumptions are made on p(t) although certain integral conditions are assumed to hold with regard to f(y), p(t) and q(t). Examples are given of the form p(t) = λ/tμ + (βsint)/tα, λ, β, μ, α>0.

Keywords

Differential Equation Integral Condition Nonlinear Differential Equation Continuable Solution Oscillation Criterion 
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 1972

Authors and Affiliations

  • L. Erbe
    • 1
  1. 1.EdmontonCanada

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