On an inverse scattering problem with a discontinuous coefficient On the whole line

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On an inverse scattering problem with a discontinuous coefficient On the whole line

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Title: On an inverse scattering problem with a discontinuous coefficient On the whole line
Author: Darwish, A. A. [عادل عبد الفتاح درويش]
Abstract: This paper is devoted to study the inverse scattering problem of a generalized Sturm-Liouville equation on the whole line.The solutions of the considered problem and their asymptotic behaviour are presented.The expansion by eigenfunctions of the considered problem and hence Parseval equations are given.The right and left scattering data are obtained. The inverse scattering problem is formulated and completely solved.يختص هذا البحث بسراسمة المص ج لة التشتتية العكسية لمعادلة شتورم ليوفييل المعدلة على خط الأعداد . وقد أعطيت حلول المطء لة اسرولهسة مع سلوكها التقريبي واستنتجت معادلات بارسيفال من المفكوك بدلالهّ اللهوال الذاتية . وتم الحصول طى بيانات التشتت اليمني واليسري وحل مساءلة التشتت العكسية للصمط ج لة المعطاه .
URI: http://hdl.handle.net/10576/9979
Date: 1994

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