کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4622266 1339496 2007 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the canonical solution of indefinite problem with m turning points of even order
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the canonical solution of indefinite problem with m turning points of even order
چکیده انگلیسی

We consider the differential equationequation(∗)y″+(ρ2ϕ2(x)−q(x))y=0y″+(ρ2ϕ2(x)−q(x))y=0 on a finite interval I  , say I=[0,1]I=[0,1], where I contains m turning points, that is here, zeros of ϕ, under the assumption that one of the turning points is of odd order while the others are of even order. Using of the asymptotic estimates provided in [W. Eberhard, G. Freiling, A. Schneider, Connection formulae for second-order differential equations with a complex parameter and having an arbitrary number of turning points, Math. Nachr. 165 (1994) 205–229] for a special fundamental system of solutions of (∗) in I, we study the infinite product representation of solutions of (∗). Such representations are relevant to the inverse spectral problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 332, Issue 2, 15 August 2007, Pages 1071–1086
نویسندگان
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