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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 8 > No. 1

 
   

A Note on the Bounded Solutions to x′′+c(t, x, x′)+q(t)b(x) = f (t)

PP: 393-399
Author(s)
Cemil TunÁ,
Abstract
Kroopnick (2010) discussed the bounded solutions of certain non-autonomous differential equations of the second order by using the integral test. In this paper, instead of the integral test, we study the results of Kroopnick [9] by using the Liapunovís function approach. We compare the established results with that of Kroopnick [9]. We also give some additional results on the equi-bounded solutions and uniformly-bounded solutions, and an example is given for the illustrations.

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