کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4591676 | 1335045 | 2008 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Continuous spectrum and square-integrable solutions of differential operators with intermediate deficiency index
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Continuous spectrum and square-integrable solutions of differential operators with intermediate deficiency index Continuous spectrum and square-integrable solutions of differential operators with intermediate deficiency index](/preview/png/4591676.png)
چکیده انگلیسی
We explore the connection between square-integrable solutions for real-values of the spectral parameter λ and the continuous spectrum of self-adjoint ordinary differential operators with arbitrary deficiency index d. We show that if, for all λ in an open interval I, there are d of linearly independent square-integrable solutions, then for every extension of Dmin the point spectrum is nowhere dense in I, and there is a self-adjoint extension of Smin which has no continuous spectrum in I. This analysis is based on our construction of limit-point (LP) and limit-circle (LC) solutions obtained recently in an earlier paper.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 255, Issue 11, 1 December 2008, Pages 3229-3248
Journal: Journal of Functional Analysis - Volume 255, Issue 11, 1 December 2008, Pages 3229-3248