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

Authors

Cemil Tunç, Yüzüncü Yıl University, Department of Mathematics, Faculty of Sciences, 65080, Van, TurkeyFollow

Author Country (or Countries)

Turkey

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 Liapunov’s 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.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/080149

Recommended Citation

Tunç, Cemil (2014) "A Note on the Bounded Solutions to x′′+c(t, x, x′)+q(t)b(x) = f (t)," Applied Mathematics & Information Sciences: Vol. 08: Iss. 1, Article 49.
DOI: http://dx.doi.org/10.18576/amis/080149
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss1/49