Browsing by Author "Tunç, C"
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Article A Study of the Asymptotic Behaviour of Solutions of Certain Non-Autonomous Differential Equations of the Fifth Order(Elsevier Science inc, 2004) Tunç, CSufficient conditions are obtained which ensure that all solutions of the equation x((5)) + f(t, x, <(x)over dot>, <(x)double over dot>, (x) triple over dot, x((4))) + phi(t, <(x)double over dot>, (x) triple over dot) + psi(t, <(x)over dot>, <(x)double over dot>) + g(t, x, <(x)over dot>) + d(t)h(x) = p(t, x, <(x)over dot>, <(x)double over dot>, (x) triple over dot, x((4))) are uniformly bounded and tend to zero as t --> infinity. Our result includes and improves the result obtained in [Appl. Math. Comput. 131 (1) (2002) 1]. (C) 2003 Elsevier Inc. All rights reserved.Article On the Uniform Boundedness of Solutions of Some Non-Autonomous Differential Equations of the Fourth Order(Shanghai Univ, 1999) Tunç, CIn this paper, sufficient conditions are established under which all solutions of some non-autonomous differential equations of the fourth order are bounded and uniformly bounded.Article On the Asymptotic Behaviour of Solutions of Certain Fifth-Order Ordinary Differential Equations(Shanghai Univ, 2003) Tunç, CThe sufficient conditions are given for all solutions of certain non-autonomous differential equation to be uniformly bounded and convergence to zero as t --> infinity The result given includes and improves that result obtained by Abou-EI-Ela Sadek.Article A Study of the Stability and Boundedness of the Solutions of Nonlinear Differential Equations of the Fifth Order(indian Nat Sci Acad, 2002) Tunç, CThe purpose of this paper is to investigate the asymptotic stability in the large of the zero solution of equation (1.1) with p = 0 and the boundedness of solutions of equation (1.1) with p not equal 0.Article On the Asymptotic Behaviour of Solutions of Certain Non-Autonomous Differential Equations(Elsevier Science inc, 2004) Tunç, C; Tunc, EIn this paper sufficient conditions are given for uniform boundedness and convergence to zero of all solutions of (1.1) together with their derivatives to the third order. (C) 2003 Elsevier Inc. All rights reserved.Article Boundedness and Uniform Boundedness Results for Certain Non-Autonomous Differential Equations of Fourth Order(Shanghai Univ, 2001) Tunç, CSufficient conditions have been obtained so that all solutions of a different fourth order differential equation are bounded and uniformly bounded.Article An Instability Theorem for a Class of Eighth-Order Differential Equations(Maik Nauka/interperiodica, 2006) Tunç, C; Tunç, EArticle A Note on the Stability and Boundedness Results of Solutions of Certain Fourth Order Differential Equations(Elsevier Science inc, 2004) Tunç, CThe purpose of this paper is to investigate the asymptotic stability of the zero solution of x((4)) + phi(<(x)double over dot>)(x) triple over dot + f(x, <(x)over dot>)<(x)double over dot> + g(<(x)over dot>) h(x) = 0 with p not equal 0 and the boundedness of all solutions of x((4)) + phi(<(x)double over dot>)(x) triple over dot + f(x, <(x)over dot>)<(x)double over dot> + g(<(x)over dot>) h(x) = 0 with p not equal 0. The results obtained here revise the results in [Demonstratio Math. 31(1) (1998) 87] and improve and includes some results in the relevant literature. (C) 2003 Elsevier Inc. All rights reserved.Article An Instability Result for Certain System of Sixth Order Differential Equations(Elsevier Science inc, 2004) Tunç, CThe main purpose of this paper is to give sufficient conditions for the instability of the trivial solution X = 0 of Eq. (1.1). (C) 2003 Elsevier Inc. All rights reserved.
