... of Mathematical Anal-ysis and Applications 267 (2002), no. 1, 345–360.[9] L. Erbe and A. Peterson, Eigenvalue conditions and positive solutions,JournalofDifference Equa-tions and Applications ... conditions (1.2),so from now on we simply consider the formulation of this linear oper a tor and ignorethe rig ht-hand side of (1.1). In Section 2, we briefly recall some basic definitions and results ... moment, so we postpone this until the next section, and consider the con-ditions on u. In addition, it is assumed that u satisfies the boundary conditions in (1.2).These conditions are imposed...