کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4617216 | 1339374 | 2013 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Self-adjoint domains, symplectic geometry, and limit-circle solutions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Everitt and Markus characterized the domains of self-adjoint operator realizations of very general even and odd order symmetric ordinary differential equations in terms of Lagrangian subspaces of symplectic spaces. Recently, for the even order case with real coefficients, Wang, Sun and Zettl constructed limit-circle (LC) solutions and Hao, Wang, Sun and Zettl characterized the self-adjoint domains in terms of LC solutions. These LC solutions are higher order analogues of the celebrated Titchmarsh-Weyl limit-circle solutions in the second-order case. This LC characterization has been used to obtain information about the discrete, continuous, and essential spectra of these operators. In this paper we investigate the connection between these two very different kinds of characterizations and thus add the methods of symplectic geometry to the techniques available for the investigation of the spectrum of self-adjoint operators.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 397, Issue 2, 15 January 2013, Pages 644-657
Journal: Journal of Mathematical Analysis and Applications - Volume 397, Issue 2, 15 January 2013, Pages 644-657
نویسندگان
Siqin Yao, Jiong Sun, Anton Zettl,