Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (4): 411-417.

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Interval Criteria for Oscillation of Forced Second-order Half-linear Differential Equations

  

  1. Inte1. Department of Mathematics, Nanyang TV and Radio University, Nanyang 473066, China; 2. Department of Mathematics, Nanyang Institute of Technology, Nanyang 473066, China
  • Received:2004-12-20 Online:2005-12-30 Published:2024-01-05
  • About author:SHEN Chun-xue(1965-),female,native of Nanyang,Henan,a lecturer of Nanyang TV and Radio University,engages in differential equations and applications.

Abstract: By employing a generalized Riccati technique and an integral averaging technique, new interval oscillation criteria are established for the forced second-order half-linear differential equation [r(t)|x’(t)|α-1x’(t)]’+q(t)|x(t)|α-1x(t)=e(t).

Key words: Half-linear differential equations, oscillation, interval criteria, generalized Ric- cati technique

CLC Number: