BOUNDEDNESS AND STABILITY PROPERTIES OF SOLUTIONS OF CERTAIN FOURTH ORDER DIFFERENTIAL EQUATIONS VIA THE INTRINSIC METHOD
Received: May 25, 1994; r ev i sed : December 23, 1995 Abstract :In this paper, firstly a Lyapunov function is derived for (1.2) by applying the intrinsic method introduced by Chin[6], Secondly equation (1.2) is examined in two cases : (i) Ρ s 0, (ii) Ρ * 0 . For case (i) the asymptotic stability in the large of the trivial solution χ = 0 is investigated and for case (ii) the boundedness results are obtained for solutions of equation (1.2). These results improve and include several well-known results. AMS Classification numbers: 34D20, 34D99.