On Certain Third Order Eigenvalue Problem

Michal Gregus

Address. Dept. of Math. Anal., Faculty of Mathematics and Physics, Comenius University, Mlynska dolina, 842 15 Bratislava, Slovak Republic

E-mail: gregus@fmph.uniba.sk

Abstract. In this paper a singular third order eigenvalue problem is studied. The motivation was given by the paper \cite{ETN} of \'A. Elbert, T. Kusano and M. Naito for linear second order nonoscillatory differential equation.

AMSclassification. 34B05, 34B24, 34C10

Keywords. Singular eigenvalue problem, third order oscillation theory, zeros of nonoscillatory solutions