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   inverse sturm-liouville problems with transmission and spectral parameter boundary conditions  
نویسنده shahriari mohammad
منبع computational methods for differential equations - 2014 - دوره : 2 - شماره : 3 - صفحه:123 -139
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چکیده    this paper deals with the boundary value problem involving the di erential equation ly := -y + qy = λy; subject to the eigenparameter dependent boundary conditions along with the following discontinuity conditions y(d + 0) = ay(d - 0), y'(d + 0) = ay'(d - 0) + by(d - 0): in this problem q(x), d, a, b are real, q є l²(0,п), d² (0,п) and λ is a parameter independent of x. by de ning a new hilbert space and using spectral data of a kind, it is developed the hochestadt's result based on transformation operator for inverse sturm-liouville problem with parameter dependent boundary and discontinuous conditions. furthermore, it is established a formula for q(x) -~q(x) in the nite interval, where ~q(x) is an analogous function with q(x).
کلیدواژه inverse sturm-liouville problem ,jump conditions ,green's function ,eigenparameter dependent condition ,transformation operator
آدرس university of maragheh, faculty of science, department of mathematics, iran
پست الکترونیکی shahriari@tabrizu.ac.ir; shahriari@maragheh.ac.ir

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