Oscillation Criteria and Spectrum of Self-Adjoint even Order Two-Term Differential Operators

Author:

Zhang Mao Zhu1

Affiliation:

1. Taishan University

Abstract

In this paper we consider the oscillation and spectrum of a class of high order two-term differential operators. Using the oscillation and non-oscillation criteria of related equation obtained here, we describe some spectral information of differential operators. In particular, the conditions which guarantee that any self-adjoint extension of differential operators has spectrum discrete and bounded below are given.

Publisher

Trans Tech Publications, Ltd.

Reference9 articles.

1. O. Dosly: Oscillation criteria and the discreteness of the spectrum of self-adjoint, even order, differential operators, Proc. Roy. Soc. Edinburgh A, Vol. 119(1991), pp.219-232.

2. O. Dosly: Oscillation criteria for self-adjoint linear dierential equations, Math. Nachr., Vol. 166(1994), pp.141-153.

3. O. Dosly, J. Osicka: Oscillation and nonoscillation of higher order self-adjoint differential equations, Czech. Math. J. Vol. 52(127)(2002), pp.833-849.

4. O. Dosly: Constants in oscillation theory of higher order Sturm-Liouville differential equations, Electron. J. Differ. Equ., Vol. 34(2002), pp.1-12.

5. O. Dosly, S. Fisnarova: Oscillation and nonoscillation of even order self-adjoint differential equations, Electron. J. Differential Equations Vol. 115(2003), pp.1-21.

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