BOUNDEDNESS RESULTS FOR SOLUTIONS OF CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER

Cemil Tunc

doi:10.22342/jims.16.2.35.115-126

Cemil Tunc ⁽¹⁾

(1) Department of Mathematics, Faculty of Sciences, Yuzuncu Yl University, Turkey

https://doi.org/10.22342/jims.16.2.35.115-126

Issue
Volume 16 Number 2 (October 2010)

Submitted
April 28, 2012

Accepted
April 28, 2012

Published
April 28, 2012

Keywords:

Nonautonomous, differential equation, second order, boundedness, uniform boundedness

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Abstract

In this paper, we establish some new sufficient conditions which guaranteethe boundedness and the uniform boundedness of solutions of certain nonlinearand nonautonomous differential equations of second order. By defining appropriateLiapunov functions, we obtain some new results on the subject, and examples arealso provided to illustrate the feasibility of the proposed results. By this work, weextend and improve some boundedness results in the literature.

DOI : http://dx.doi.org/10.22342/jims.16.2.35.115-126

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Authors

Cemil Tunc

Department of Mathematics, Faculty of Sciences, Yuzuncu Yl University

penulis@jims-a.org (Primary Contact)

Tunc, C. (2012). BOUNDEDNESS RESULTS FOR SOLUTIONS OF CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER. Journal of the Indonesian Mathematical Society, 16(2), 115–126. https://doi.org/10.22342/jims.16.2.35.115-126