تعميم مسألة أولر إلى فضاء باناخ على الساحة العقدية

Authors

  • حسن بدور
  • صديقة طربيه
  • هناء سكاف
  • عروبة حمادة

Abstract

يعالج هذا البحث المسألة  القصوى الشرطية الآتية: أوجد القيمة الصغرى للدالي التكاملي

 

تحت شروط إضافية من النوع

 

حيث   تابع معرف في فضاء باناخ للتوابع التحليلية في قرص الواحدة .

لقد تم البرهان على أنه إذا كان  حلاً للمسألة  أعلاه فإنه يحقق  المعادلات التفاضلية

 

مع العلم أن متعلق بمضاريب لاغرانج.

 

This paper deals with the following conditional external problem:  find the minimum value of the integral functional

 

under some boundary conditions and additional constraints

 

where   is some function defined in Banach Space of  holomorphic functions in unit disc.

It has been shown that the solution  of the above  problem satisfies the  differential equations

 

and  is the Lagrange Multiplier.

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Published

2018-12-05

How to Cite

1.
بدور ح, طربيه ص, سكاف ه, حمادة ع. تعميم مسألة أولر إلى فضاء باناخ على الساحة العقدية. TUJ-BA [Internet]. 2018Dec.5 [cited 2024May3];30(4). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/5081

Issue

Vol. 30 No. 4 (2008): العلوم الأساسية

Section

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