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Annali di Matematica Pura ed Applicata

, Volume 101, Issue 1, pp 307–320 | Cite as

Continuability, boundness and asymptotic behavior of solutions ofx″ +q(t)f(x)=r(t)

  • John R. Graef
  • Paul W. Spikes
Article

Summary

In addition to obtaining sufficient conditions for continuability of solutions of x″ + q(t)f(x)=r(t), some sufficient conditions and some necessary and sufficient conditions for boundedness are obtained. The asymptotic behavior of solutions is studied through examination of r(t)/q(t) as t → ∞.

Keywords

Asymptotic Behavior 
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References

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1974

Authors and Affiliations

  • John R. Graef
    • Paul W. Spikes

      There are no affiliations available

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