Geodesic
Spectral properties of fourth order differential operators
Mathematica Bohemica, Tome 122 (1997) no. 2, pp. 153-168

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MR Zbl
Necessary and sufficient conditions for discreteness and boundedness below of the spectrum of the singular differential operator $\ell(y)\equiv{1\over w(t)}\ddif{(r(t)\ddif{y})}$, $t\in[a,\infty)$ are established. These conditions are based on a recently proved relationship between spectral properties of $\ell$ and oscillation of a certain associated second order differential equation.
Necessary and sufficient conditions for discreteness and boundedness below of the spectrum of the singular differential operator $\ell(y)\equiv{1\over w(t)}\ddif{(r(t)\ddif{y})}$, $t\in[a,\infty)$ are established. These conditions are based on a recently proved relationship between spectral properties of $\ell$ and oscillation of a certain associated second order differential equation.
DOI : 10.21136/MB.1997.125911
Classification : 34B05, 34C10, 34L05
Keywords: singular differential operators; property BD; oscillation criteria; principal solution 
Došlý, Ondřej; Hilscher, Roman. Spectral properties of fourth order differential operators. Mathematica Bohemica, Tome 122 (1997) no. 2, pp. 153-168. doi: 10.21136/MB.1997.125911
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