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

Mao Zhu Zhang

doi:10.4028/www.scientific.net/AMM.751.331

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Oscillation Criteria and Spectrum of Self-Adjoint even Order Two-Term Differential Operators
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 751Oscillation Criteria and Spectrum of Self-Adjoint...

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

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.

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Applied Mechanics and Materials (Volume 751)

Pages:

331-336

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.751.331

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Online since:

April 2015

Authors:

Mao Zhu Zhang*

Keywords:

Non-Oscillation, Oscillation, Self-Adjoint Differential Equations, Spectrum

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