Geodesic
About Uniform Boundedness and Convergence of Solutions of Certain Non-Linear Differential Equations of Fifth-Order
Bulletin of the Malaysian Mathematical Society, Tome 30 (2007) no. 1
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In this paper, we establish sufficient conditions under which all solutions of equation of the type x (5) + f(t,x',x'',x''',x (4) ) + f (t, x', x'', x''')+ y (t,x, x', x'')+ g(t,x, x')+ e(t)h(x) = p(t,x,x', x'', x''',x (4) ) are uniformly bounded and tend to zero as t tend to ∞. Our theorem is stated in a more general form; it extends some related results known in the literature. Also, the relevance of our result is to show that the results established in Abou El-Ela and Sadek [2,3] and Sadek [13] contain some superfluous conditions.
Classification : 34D05. 
@article{BMMS_2007_30_1_a0,
     author = {Cemil Tunc},
     title = {About {Uniform} {Boundedness} and {Convergence} of {Solutions
of} {Certain} {Non-Linear} {Differential} {Equations} of {Fifth-Order}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2007},
     volume = {30},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2007_30_1_a0/}
}
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of Certain Non-Linear Differential Equations of Fifth-Order
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Cemil Tunc. About Uniform Boundedness and Convergence of Solutions
of Certain Non-Linear Differential Equations of Fifth-Order. Bulletin of the Malaysian Mathematical Society, Tome 30 (2007) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2007_30_1_a0/