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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1998, v.5 no.2, pp.156-162
Kim, Yong-Ki

Abstract

The main objective of this paper is to study the boundedness of solutions of the differential equation <TEX>$L_{n} {\chi}+F(t,{\chi}) = f(t), n {\geq} 2 $</TEX>(*) Necessary and sufficient conditions for boundedness of all solutions of (*) will be obtainded. The asymptotic behavior of solutions of (*) will also be studied.

keywords
quasi-derivative, positive continuous function

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics