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Inverse Sturm-Liouville Problem With Discontinuity Conditions
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نویسنده
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Shahriari Mohammad ,Jodayree Akbarfam Aliasghar
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منبع
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Sahand Communications In Mathematical Analysis - 2014 - دوره : 1 - شماره : 1 - صفحه:29 -40
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چکیده
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This paper deals with the boundary value problem involving the differential equationℓy:=−y′′+qy=λy, subject to the standard boundary conditions along with the following discontinuity conditions at a point a∈(0,π)y(a+0)=a1y(a−0),y′(a+0)=a1−1y′(a−0)+a2y(a−0),where q(x), a1, a2q(x), a1, a2 are real, q∈l2(0,π) and λ is a parameter independent of x. we develop the hochestadt's result based on the transformation operator for inverse sturm-liouville problem when there are discontinuous conditions. furthermore, we establish a formula for q(x)−q~(x) in the finite interval where q(x) and q~(x) are analogous functions.
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کلیدواژه
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Inverse Problem ,Sturm-Liouville Problems ,Discontinuous Conditions
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آدرس
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University Of Maragheh, Faculty Of Science, Department Of Mathematics, ایران, University Of Tabriz, Faculty Of Mathematical Sciences, ایران
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پست الکترونیکی
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akbarfam@yahoo.com
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Authors
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