On the boundedness and the stability properties of solutions of certain fourth order differential equations
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The paper investigates the equation(1.1) in the two cases:i) p≡0,ii) p(≠0) is either bounded or satisfies |(p(t,x,y,z,u)|⩽(A0+|y|+|u|+|z| Ψ(t) where A0 is a constant. For the casei) the asymptotic stability (in the large) of the trivial solution x=0 is investigated and for the caseii) a general estimate and two boundedness results are obtained for solutions of(1.1). The results extend those obtained by Harrow for the same equation(1.1).
KeywordsDifferential Equation General Estimate Fourth Order Asymptotic Stability Stability Property
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