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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 297 - 305 (9page)
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We show that selfadjoint operator extensions of minimal second order difference operators have only discrete spectrum when the odd order coefficient is unbounded but grows or decays according to specific conditions. Selfadjoint operator extensions of minimal differential operator under similar growth and decay conditions on the coefficients have a absolutely continuous spectrum of multiplicity one.
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참고문헌 (11)
참고문헌 신청
H. Behncke / 2006 / Spectral theory of higher order differential operators / Proc. London Math. Soc. 93(1):139~160
H. Behncke / 2010 / Spectral analysis of fourth order differential operators III / Math. Nachr 283(11):1558~1574
H. Behncke / 2011 / Spectral theory of hamiltonian systems with almost constant coefficients / J. Differential Equations 250:1408~1426
H. Behncke / 2011 / Spectral theory of difference operators with almost constant coefficients / J. Difference Equ. Appl 17(5):677~695
H. Behncke / 2013 / Spectral theory of higher order difference operators / J. Difference Equ. Appl 19(12):1983~2028
H. Behncke / 2010 / Spectral analysis of fourth order differential operators III / Math. Nachr 283(11):1558~1574
H. Behncke / 2011 / Spectral theory of hamiltonian systems with almost constant coefficients / J. Differential Equations 250:1408~1426
H. Behncke / 2011 / Spectral theory of difference operators with almost constant coefficients / J. Difference Equ. Appl 17(5):677~695
H. Behncke / 2013 / Spectral theory of higher order difference operators / J. Difference Equ. Appl 19(12):1983~2028
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