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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (11): 1039-1049.

• Articles • Previous Articles     Next Articles

ON THE BOUNDEDNESS AND THE STABILITY RESULTS FOR THE SOLUTION OF CERTAIN FOURTH ORDER DIFFERENTIAL EQUATIONS VIA THE INTRINSIC METHOD

Cemil TUNC1, Aydin TIRYAKI2   

  1. 1. Department of Mathematics, Yüzüncü Yil University, 65080 Van/TURKEY;
    2. Department of Mathematics, Hacettepe University, 06532 Beytepe Ankara/TURKEY
  • Received:1996-02-15 Online:1996-11-18 Published:1996-11-18

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Abstract: In this paper, we first present constructing a Lyapunov function for (1. 1) and then we show the asymptotic stability in the large of the trivial solution x=0 for case p≡0,and the boundedness result of the solutions of (1. 1) for case p≠0. These results improve sveral well-known results.

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