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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 15 - 35 (21page)
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초록· 키워드
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By strengthening dichotomy condition and weakening decay conditions, we show that a four term 2n-th order differential operator with unbounded coefficients is nonlimit-point. Using stringent conditions we show that the deficiency index of this operator is determined by the behaviour of the coefficients themselves. Similarly, we prove the absence of singular continuous spectrum and that the absolutely continuous spectrum has multiplicity two.
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참고문헌 (18)
참고문헌 신청
A. P. Griffiths / 1989 / Introduction to Algebraic Curves / Beijing University Press.
C. Remling / 1998 / Spectral Analysis of Higher Order Differential operator I, general properties of the M-Functions / J. London. Math. Soc. 58 (2) : 367 ~ 380
C. Remling / 1999 / Spectral Analysis of Higher Order Differential operator II, Fourth Order Equations / J. London Math. Soc. 59 (2) : 188 ~ 206
D. B. Hinton / 1981 / On the Titchmarsh-Weyl M( )-Functions for Linear Hamiltonian Systems / J. Differential Equations 40 : 316 ~ 342
D. B. Hinton / 1993 / On the Titchmarsh-Weyl Coefficients for Singular S-Hermitian Systems I / Math. Nachr. 163 : 323 ~ 342
C. Remling / 1998 / Spectral Analysis of Higher Order Differential operator I, general properties of the M-Functions / J. London. Math. Soc. 58 (2) : 367 ~ 380
C. Remling / 1999 / Spectral Analysis of Higher Order Differential operator II, Fourth Order Equations / J. London Math. Soc. 59 (2) : 188 ~ 206
D. B. Hinton / 1981 / On the Titchmarsh-Weyl M( )-Functions for Linear Hamiltonian Systems / J. Differential Equations 40 : 316 ~ 342
D. B. Hinton / 1993 / On the Titchmarsh-Weyl Coefficients for Singular S-Hermitian Systems I / Math. Nachr. 163 : 323 ~ 342
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