مسائل معکوس طیفی عملگرهای اشتورم-لیوویل با شرایط ناپیوسته

نویسنده
دانشگاه مراغه، دانشکدۀ علوم پایه، گروه ریاضی
چکیده
این مقاله به مساله مقدار مرزی مربوط به معادله دیفرانسیل
​ -y''+q(x)y=lambda y


با شرایط مرزی استاندارد همراه با شرایط ناپیوستگی در نقطه به صورت

y(a+0)=a1y(a-0), y'(a+0)=a2y'(a-0)+a3y(a-0).
می­پردازد. که در آن و تابع حقیقی و و و پارامتر طیفی مستقل از هستند. ما نتیجه هاچستات-لیبرمن را برای حالتی که یک شرط ناپیوستگی در درون بازه متناهی است، توسیع می­دهیم، و نشان می­دهیم که تابع پتانسیل و بعضی ضرایب شرایط مرزی می­تواند به طور منحصر به فرد با دانستن تابع پتانسیل در بعضی بازه­ها و قسمتی از دو طیف تعیین شود../files/site1/files/62/8Shahriari.pdf
کلیدواژه‌ها

عنوان مقاله English

Inverse Spectral Problems for Sturm-Liouville Operators with Transmission Eonditions

نویسنده English

Mohammad Shahriari
چکیده English

Abstract: This paper deals with the boundary value problem involving the differential equation

-y''+q(x)y=lambda y

subject to the standard boundary conditions along with the following discontinuity conditions at a point

y(a+0)=a1y(a-0), y'(a+0)=a2y'(a-0)+a3y(a-0).

We develop the Hochestadt-Lieberman’s result for Sturm-Liouville problem when there is a discontinuous condition on the closed interval. We show that the potential function and some coefficients of boundary conditions can be uniquely determined by the value of the potential on some interval and parts of two set of eigenvalues../files/site1/files/62/8Abstract(1).pdf

کلیدواژه‌ها English

Inverse Sturm-Liouville problem
discontinuous condition
entire function
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