Limit circle classification and boundedness of solutions

Abstract

SynopsisUsing an algebraic approach to the nth order linear differential equations (see [3] forn= 2 and [13and14] forn≧ 2) it is shown the essence of the relation between the limit circle classification and boundedness of solutions ofy″ =q(t)y. On this example it is demonstrated that if a problem can be formulated in the rank of the approach, then it is only a technical matter to answer it, e.g. the relationship studied here is based on a standard fact from the theory of functions.