Original Articles

VARIATIONAL SYSTEMS DISCONJUGACY CRITERIA FOR WNSELFADJOINT DIFFERENTIAL EQUATIONS

Published in: Quaestiones Mathematicae
Volume 2 , issue 4 , 1978 , pages: 453–460

DOI: 10.1080/16073606.1978.9631545

Author(s): AllanL. Edelson Department of Mathematics, U.S.A. , Kurt Kreith Department of Mathematics, U.S.A.

Keywords: 34C10

Abstract

A systems representation for fourth order differential equations is used to develop variational criteria for the existence and nonexistence of systems conjugate points. The novelty of the results is due to the fact that techniques usually restricted to selfadjoint equations are extended to certain non-self adjoint problems.

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