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BOUNDEDNESS FOR SOLUTIONS OF SUPERLINEAR DUFFING EQUATIONS VIA THE TWIST THEOREM 被引量:9

BOUNDEDNESS FOR SOLUTIONS OF SUPERLINEAR DUFFING EQUATIONS VIA THE TWIST THEOREM
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摘要 A class of functions {g(x)} will be provided, such that the differential equation d^2x/dt^2+ g(x) = p(t) possesses an infinitely many number of invariant tori in the orbit space(t, x,dx/dt)∈S^1×R^2. Moreover, each solution of the equation is bounded. The proof is basedon the twist theorem. A class of functions {g(x)} will be provided, such that the differential equation d^2x/dt^2+ g(x) = p(t) possesses an infinitely many number of invariant tori in the orbit space(t, x,dx/dt)∈S^1×R^2. Moreover, each solution of the equation is bounded. The proof is basedon the twist theorem.
作者 尤建功
出处 《Science China Mathematics》 SCIE 1992年第4期399-412,共14页 中国科学:数学(英文版)
关键词 superlinearity INVARIANT TORI boundedness. superlinearity invariant tori boundedness.
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同被引文献18

  • 1柳彬,王奕倩.Invariant tori in nonlinear oscillations[J].Science China Mathematics,1999,42(10):1047-1058. 被引量:3
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  • 10Hall EO.The deformation and aging of mild steel:Ⅲ discussion of results[].Proceedings of the Physical Society.1951

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