The Generalization of some Problems in Calculus of Variations into the Space of Analytic Functions

Authors

  • Hanaa Skaf

Abstract

This paper deals with the following conditional extremal problem: Find the minimum value of the integral functional

 

under some boundary conditions and additional constraints of type , where   is some function defined in Banach Space of  holomorphic functions in unit disc and  is a regular curve in this disc.

 

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

 

Where  and  are the Lagrange Multipliers.

Some applications and additional examples are given.

 

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Published

2018-10-29

How to Cite

1.
Skaf H. The Generalization of some Problems in Calculus of Variations into the Space of Analytic Functions. TUJ-BA [Internet]. 2018Oct.29 [cited 2024May3];40(3). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/4370

Issue

Vol. 40 No. 3 (2018): العلوم الأساسية

Section

Articles

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