On Certain Third Order Boundary Value Problems on Infinite Interval

Michal Gregus, Jr.

Address. Department of Information Systems, Faculty of Management, Comenius University, Odbojarov 10, P.O. Box 95, 820 05 Bratislava, Slovak Republic

E-mail: michal.gregus@fm.uniba.sk

Abstract. In this paper certain third order eigenvalue problems are studied. The motivation was given by the theory of the third order linear eigenvalue problems on finite intervals and asymptotic properties of solutions of the third order linear differential equations \cite{GJRG}.

AMSclassification. 34B10, 34B40

Keywords. Linear third order differential equation, eigenvalue, eigenfunction, boundary value problems