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
Voir la notice de l'article provenant de la source Bulletin of the Malaysian Mathematical Sciences Society website
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.
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/
@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/}
}
TY - JOUR AU - Cemil Tunc TI - About Uniform Boundedness and Convergence of Solutions of Certain Non-Linear Differential Equations of Fifth-Order JO - Bulletin of the Malaysian Mathematical Society PY - 2007 VL - 30 IS - 1 UR - http://geodesic.mathdoc.fr/item/BMMS_2007_30_1_a0/ ID - BMMS_2007_30_1_a0 ER -