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On the boundedness and the stability properties of solution of certain fourth order differential equations |
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| Authors: | Yu Yuan-hong Cheng Wen-deng |
| Institution: | 1. Institute of Applied Mathematics, Academia Sinica, Beijing;2. Beijing Institute of Technology, Beijing |
| Abstract: | This paper investigates equation (1) in twocases:(i)P=0, (ii)P satisfies|P (i,x,y,z,w)<(A |y| |z| |w|)q(t).whereq(t) is a nonnegative function of t. For case (i) the asymptotic stability in the large of the trivial solution x=0 is investigated and for case (ii) the boundedness result is obtained for solutions of equation (1). These results improve and include several well-known results. |
| Keywords: | nonlinear differential equations of the four order boundedness stability |
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