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ISSN : 1226-0657

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Vol.5 No.2

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A STUDY ON SOLUTIONS OF A CLASS OF HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics Education, Dongguk University)
Kim, Yong-Ki. (1998). A STUDY ON SOLUTIONS OF A CLASS OF HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS. 한국수학교육학회지시리즈B:순수및응용수학, 5(2), 156-162.

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

한국수학교육학회지시리즈B:순수및응용수학

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