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

  • Kim, Yong-Ki (Department of Mathematics Education, Dongguk University)
  • Published : 1998.11.01

Abstract

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

Keywords