کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4624001 | 1339529 | 2006 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Resolvent growth and Birkhoff-regularity
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We prove a long standing conjecture in the theory of two-point boundary value problems that unconditional basisness implies Birkhoff-regularity. It is a corollary of our two main results: minimal resolvent growth along a sequence of points implies nonvanishing of a regularity determinant, and sparseness of nth-order roots of eigenvalues in small sectors provided that eigen and associated functions of the boundary value problem form an unconditional basis.Considerations are based on a new direct method, exploiting almost orthogonality of Birkhoff's solutions of the equation l(y)=λy. This property was discovered earlier by the author.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 323, Issue 1, 1 November 2006, Pages 387-402
Journal: Journal of Mathematical Analysis and Applications - Volume 323, Issue 1, 1 November 2006, Pages 387-402