Chinese Quarterly Journal of Mathematics ›› 1997, Vol. 12 ›› Issue (3): 1-6.

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An Oscillation Criterion for Second Order Superlinear Differential Equations#br#

  

  1. Center  University  of Finance  and  Economic,Beijing,100081;Institute  of Applied  Mathematics,Academia  Sinica,Beijing,100080
  • Received:1993-04-17 Online:1997-09-30 Published:2024-11-20
  • Supported by:
    The Project Supported by the Natural Science Foundaion of China. 

Abstract: A new criterion is established for the oscillation of second order superlinear ordinary differential equations of the formx″(t)+ p(t)x′(t) + q(t)|x(t)|αsgnx(t) = 0, t ≥ t0,where α>1,p and q are continuous functions on [t0,∞). This criterion extends and unifies some of the results obtained in [1]- [5]. 

Key words:  , superlinearity, oscillation criterion, second order differential equation ,

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