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GENERALIZED RICCATI TRANSFORMATION AND OSCILLATION FOR LINEAR DIFFERENTIAL EQUATIONS WITH DAMPING

GENERALIZED RICCATI TRANSFORMATION AND OSCILLATION FOR LINEAR DIFFERENTIAL EQUATIONS WITH DAMPING
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摘要 Using generalized Riccati transformation, some new oscillation criteria for damped linear differential equations are established. These results improve and generalize some known oscillation criteria due to A.Wintner, I.V.Kamenev for the undamped linear differential equations, and Sobol, J.S.W.Wong for the damped linear differential equations. Using generalized Riccati transformation, some new oscillation criteria for damped linear differential equations are established. These results improve and generalize some known oscillation criteria due to A.Wintner, I.V.Kamenev for the undamped linear differential equations, and Sobol, J.S.W.Wong for the damped linear differential equations.
出处 《Annals of Differential Equations》 2005年第1期93-98,共6页 微分方程年刊(英文版)
基金 This research was supported by NNSF of China under Grant 10371135 and China Postdoctoral Science Foundation under Grant 2004035033.
关键词 Riccati transformation OSCILLATION damped term Riccati transformation, oscillation, damped term
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参考文献1

  • 1I. V. Kamenev.An integral criterion for oscillation of linear differential equations of second order[J].Mathematical Notes of the Academy of Sciences of the USSR.1978(2)

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